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ABET Portfolio
2015
Prepared by Daniel Burg
ABSTRACT
The goal of Michigan Technological University’s Mechanical Engineering
program is to prepare students to become world class engineers. Michigan Tech’s
Mechanical Engineering Program achieves this by adhering to the eleven
objectives stated by the ABET accreditation criterion. Those eleven objectives are
that graduates of the MTU Mechanical Engineering program will have the capacity
to demonstrate:
1. An ability to apply knowledge of mathematics, science, and engineering
2. An ability to design and conduct experiments, as well as to analyze and
interpret data
3. An ability to design a system, component, or process to meet desired needs
within realistic constraints such as economic, environmental, social,
political, ethical, health and safety, manufacturability, and sustainability
4. An ability to use the techniques, skills, and modern engineering tools
necessary for engineering practice.
5. An ability to function on multidisciplinary teams
6. An ability to identify, formulate, and solve engineering problems
7. An understanding of professional and ethical responsibility
8. An ability to communicate effectively
9. The broad education necessary to understand the impact of engineering
solutions in a global, economic, environmental, and societal context
10.A recognition of the need for, and an ability to engage in life-long learning
11. A knowledge of contemporary issues
This is my portfolio of work that I completed at Michigan Technological
University from the dates of September 2013 to May 2015. This body of work
demonstrates my completion of Michigan Tech’s Mechanical Engineering
program’s and ABET’s eleven objectives.
Table of Contents:
I. Objective one Page 1
 Materials Homework 5
II. Objective two Page 11
 Solid Mechanics Torsion Test
III. Objective three Page 32
 Enterprise Design Expo Poster
IV. Objective four Page 34
 Controls Lab 5
V. Objective five Page 44
 Formula SAE Newsletter
VI. Objective six Page 56
 Dynamics Forced Response Test
VII. Objective seven Page 72
 Order of the Engineer
VIII. Objective eight Page 74
 FSAE Maclean-Fogg Fastening Challenge
IX. Objective nine Page 82
 Urban Farming Paper
X. Objective ten Page 89
 Personal Action Plan
XI. Objective eleven Page 95
 2015 Post-grad summer road trip
1 | P a g e
OBJECTIVE 1:
Apply knowledge of mathematics, science, and engineering.
Objective one evidence
Homework 5
Material and Process Selection
Dr. Bruce Pletka
Spring 2015
Description:
This submittal is the 5th
of six homework assignments in MY4800. This class
focused on the Ashby Approach to material and process selection utilizing CES
material database software. The Ashby Approach uses the variables of a particular
problem to find a relationship between constraints and objectives. This assignment
consisted of hypothetical real life optimization problems.
Criterion Reached:
The criterions for objective one are demonstrated throughout this multi-faceted
assignment. The assignment takes fundamental and proficient engineering
knowledge to solve the problems presented.
11| P a g e
OBJECTIVE 2:
An ability to design and conduct experiments, as well as to
analyze and interpret data.
Objective two evidence
Solid Mechanics Torsion Test
Mechanical Engineering Lab
Dr. Ibrahim Miskioglu
Fall 2014
Description:
This submittal is the second MEEM 3000 lab report for the solid mechanics section
of the course. This assignment was to analyze the differences of material properties
in both brittle and ductile materials when subjected to pure shear stress. This
laboratory consisted of two different experiments. Experiment 1 consisted of a
torsion test to obtain material properties while staying within the elastic region of
the material. Experiment 2 loaded the specimens until failure.
Criterion Reached:
This submittal demonstrates a high level of engineering analysis that covers the
criteria for this objective. Step by step, the experiment was designed and conducted
to obtain the correct results and interpretation of the data.
Mechanical Engineering Lab MEEM 3000
Solid Mechanics Lab 2
Torsion Test
Dr. Ibrahim Miskioglu
TA: Udit Shrivastava
Due 10/13/14
By. Dan Burg
Lab Partners: Sean Kuchta, Ethan Klaski, Jeremy Hoffman
ABSTRACT
The purpose of this lab was to perform a simple torsion test and determine material properties
related to the ductility or brittleness of the sample. A Tinius Olsen torsion test machine and a
computer, along with a strain gauge for one experiment, were used to collect data. Two tests
were done, one turned the specimen to failure, and the other with strain gauges only applied a
predetermined load. A few anomalies were found in the data but was decided they would have
little effect on the final calculations. Shear stress-strain curves were plotted to obtain material
properties. The material properties were compared to published values to determine the accuracy
of the calculations. The strain gauge test shear modulus was identical to the published but both
were twice that found during the failure test. The other material properties correlated to the
published values. The difference in a brittle and ductile torsion failure was observed. Ductile
materials failed under shear stress while brittle failed at a 45o
under tensile stress.
BACKGROUND AND OBJECTIVE(S)
Material properties are important factors to consider in engineering. They can help determine
when a material is appropriate to use, when maintenance is needed, or the life of a part or
component, along with many other uses. The purpose of this test is to conduct a torsion test on
aluminum and cast iron samples and determine important material properties of each, and
compare them.
A torsion test is conducted to determine the shear stress properties of the material. This is
important because these stresses are typically lower values than tension and compression
stresses, and may be a cause of failure. To calculate theses material properties, a torque is
applied and measured with its angle of twist. The shear stress (𝜏𝜏) is calculated using equation 1.1,
the Torque (T) and the diameter (d).
𝜏𝜏 =
16𝑇𝑇
𝜋𝜋𝑑𝑑3
1.1
To find the strain (𝛾𝛾) equation 1.2, the angle of twist (𝜃𝜃), the radius (r), and the length (L) of the
member are needed.
𝛾𝛾 =
𝜃𝜃𝜃𝜃
𝐿𝐿
1.2
Plotting the stress and strain against each other allows various material properties to be obtained.
The Shear Modulus (S) (also known as the Modulus of Rigidity) is the slope of the elastic region
of the curve. The proportional limit be found using the Shear modulus, and is considered the
stress at which the deformation becomes plastic. The modulus of Rupture is the maximum stress
the material can have before failure. The Modulus of Resilience and Modulus of Toughness are also
found from the stress-strain curve. Both are a measure of energy absorbed by the material, where the
resilience is the energy absorbed during the elastic deformation, and the toughness it the energy
absorbed up to fracture. [1]
The materials under inspection are aluminum 2024-T4 and Cast Iron. Aluminum 2024-T4 means
it is limited to 0.20 percent alloy and is the 24 series, T-4 means it is solution treated and
naturally aged. It is typically used in the aerospace industry. [2]
1
APPARATUS
A Tinius Olsen Test machine was used to conduct the torsion tests in this lab. Both ends of each
specimen were secured by jaws in the machine, then the machine turned at a specified rate to
apply the force to the piece. The machine was connected to a computer that recorded the force
applied and the movement of the machine. The setup is pictured below.
Figure 1: Tinius Olsen Torsion Test Machine and Computer DAQ system.
A strain gauge was also used for one of the experiments. Below is the schematic of how that
DAQ system was configured.
EXPERIMENTAL PROCEDURES
1. Non-gaged specimen.
a. Record the diameter and length of the necked region
b. Position the specimen into the grips of the machine
c. Measure the length between the grips
d. Zero and balance the machine
e. Begin running the test
f. Begin with the load rate at 20 degrees per min until the specimen has turned 20
degrees.
g. Slowly increase the load rate to 200 degrees per min for the aluminum and 150
degrees per min for the cast iron, until failure.
2. Strain gage specimen
a. Record the diameter of the necked down region
Chuck Controls
Strain gauge Signal conditioner Computer/software
Figure 2: Strain gauge DAQ system layout
2
b. Appropriately load the specimen into the machine and attach strain gauges.
c. Connect the strain gauges to the control box.
d. Torque the specimen from 0 to 800 in-lb then to -800 in-lb and then back to 0 lb
e. Record the strain every 200 in-lb of torque
MEASUREMENT/DATA SUMMARY
Initial and final measurements were recorded for each of the specimens for the fracture test. Only
the initial diameter for the test was recorded because it did not deform enough under the applied
load.
Table 1: Initial measurements for the specimens
Material
Initial Diameter
[in]
Final Diameter
[in]
Initial Length
[in]
Final Length
[in]
Chuck length
[in]
Aluminum 0.379 0.371 3.702 3.808 4.119
Cast Iron 0.376 0.374 3.638 3.675 4.155
Aluminum 0.751 - - - -
Minor abnormalities were experienced during the start of the experiment for the aluminum. This
was because of operator error. When the cast iron neared 250 in-lbs of torque a small
interruption in the data appears, this could be because of a slip in the grips or operator error. Both
are determined to not have a substantial effect in the calculations.
Figure 3: Raw fracture plot for both materials
-100
0
100
200
300
400
500
600
700
800
-100 0 100 200 300 400 500 600
Torque[in-lb]
Angle of twist [Degree]
Aluminum and Cast Iron
Cast Iron Aluminum
3
The strain gauge data is plotted in the figure below. It shows a linear trend that is expected in the
elastic region.
Figure 4: Raw strain vs twist plot
All data plotted and recorded seemed logical with no serious anomalies, making the data
reasonable to interpret and analyze.
INTERPRETATION AND ANALYSIS
Plotted below is the shear stress vs. shear strain of the strain gauge experiment. The strain gauges
were placed 90 degrees apart at 45o
off the axis of the specimen, so as the specimen twisted the
stresses are pure tensile because a strain gage cannot measure shear. The shear Modulus can also
be determined from this data by finding the slope.
Figure 5: Aluminum torsional stress as a function of shear strain
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
-0.003 -0.002 -0.001 0 0.001 0.002 0.003
Torque[in-lb]
Strain [in/in]
Aluminum strain gauge
y = 3,953,722.61x - 41.83
-15000
-10000
-5000
0
5000
10000
15000
-0.003 -0.002 -0.001 0 0.001 0.002 0.003
Stress[psi]
Strain [in/in]
Aluminum Stress Strain
4
The shear modulus of the specimen was found to be 3,953,722 psi. This is undistinguishable to
the accepted shear modulus found on MatWeb of Aluminum 2024 that is 3,950,000 psi [3].
The shear stress-strain curves for both the aluminum and cast iron specimens were plotted using
both the length of the necked region and the distance between the grips. From this, shear
modulus was determined, and then referenced to the published data shown in the table below.
Table 2: experimental and published Shear moduli for Aluminum and Cast Iron
Material Neck Shear Mod. [psi] Chuck Shear Mod. [psi] Published Shear Mod. [psi]
Aluminum 1,600,000 1,777,000 3,950,000
Cast Iron 2,319,000 2,650,000 5,900,000
This was done to determine which length is more accurate to use. The plots to determine this can
be found in the appendix in their respective sections. As the table shows, neither were close to
the published data but the chuck to chuck length was closer. This measurement was then used to
find the material properties using the figure below.
Figure 6: Stress-strain for both materials using chuck length
From this figure, all the material properties were found and populated the table below. The
modulus of rigidity is shown by the black line for the cast iron and the green line for aluminum.
The proportional limit is where that line no longer is the trend line to the curve. The rupture
value is the highest peak value. The toughness and resilience was the estimated calculated area
under the curve.
0
10000
20000
30000
40000
50000
60000
70000
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
Stress[psi]
Strain [in/in]
stress- strain (chuck)
Aluminum Cast Iron
Y=1,777,000x
Y=2,650,000x
5
Table 3: Calculated material properties of both specimens
Property Aluminum Cast Iron
Modulus of Rigidity (Psi) 1,780,000 2,650,000
Proportional Limit (Psi) 30,000 45,000
Modulus of Rupture (Psi) 61,000 64,000
Modulus of Resilience (lbf*in/in3) 186 360
Modulus of Toughness (lbf*in/in3) 29,000 2,275
Besides the shear modulus, the values found from the experiment was close to the publish data.
The way the specimens failed was expected. Aluminum is a ductile metal and failed under max
shear stress. This is shown from the clean straight cut of the specimen in the figure below. The
brittle cast iron failed, it was due to the max tensile stress. During a torsion, this appears at a 45o
angle and is shown by the helix shape in the figure below.
Figure 7: Aluminum (left) and Cast iron (right) specimens after failure
More images of the failures for both the aluminum and cast iron specimens can be found in their
respective appendices.
CONCLUSIONS
A torsion test of an aluminum rod with strain gauges applied 90o
apart on the specimen and 45o
off axis to ensure pure tensile strain data was collected. From this data the stress-strain curve was
plotted to determine the shear modulus. It was found to be exactly the same as accepted
published data.
6
Using data from a torsion test on the cast iron and aluminum, a shear stress-strain curve was
created to determine material properties of the specimens. A curve was made for a length equal
to the necked region of the sample and the chuck to chuck measurement. It was found the chuck
length yielded a closer shear modulus result than the other. This curve was then used to find the
other material properties.
It was also concluded, ductile materials fail with a clean cut perpendicular to the specimen due to
reaching max shear stress. While brittle materials fail due to mas tensile stress, resulting in a 45o
fracture.
7
REFERENCES
[1] D. Burg, "Solid Mechanics Lab 1: Tensile Test," Michigan Tech, Houghton, 10/6/14.
[2] Alcoa, "Alloy 2024," [Online]. Available:
http://www.alcoa.com/mill_products/catalog/pdf/alloy2024techsheet.pdf. [Accessed 10 10 2014].
[3] MatWeb, "Aluminum 2024-T4; 2024-T351," 2014. [Online]. Available:
http://www.matweb.com/search/DataSheet.aspx?MatGUID=67d8cd7c00a04ba29b618484f7ff7524&ckck=1.
[Accessed 10 10 2014].
[4] M. T. University, "Laboratory 3: Digital Data Acquisition," 2012.
[5] MatWeb, "ASTM class 40 Standard gray iron test bars, as cast," 2014. [Online]. Available:
http://www.matweb.com/search/DataSheet.aspx?MatGUID=0ddc4db90ca3474d8ee1aa021896f281.
[Accessed 11 10 2014].
8
APPENDIX
A) General Test
Material
Initial Diameter
[in]
Final Diameter
[in]
Initial Length
[in]
Final Length
[in]
Chuck length
[in]
Aluminum 0.379 0.371 3.702 3.808 4.119
Cast Iron 0.376 0.374 3.638 3.675 4.155
Material Neck Shear Mod. Chuck Shear Mod. Published Shear Mod.
Aluminum 1,600,000 1,777,000 3,950,000
Cast Iron 2,319,000 2,650,000 5,900,000
-100
0
100
200
300
400
500
600
700
800
-100 0 100 200 300 400 500 600
Torque[in-lb]
Angle of twist [Degree]
Aluminum and Cast Iron
Cast Iron Aluminum
9
Property Aluminum Cast Iron
Modulus of Rigidity (Psi) 1,780,000 2,650,000
Proportional Limit (Psi) 30,000 45,000
Modulus of Rupture (Psi) 61,000 64,000
Modulus of Resilience (lbf*in/in3) 186 360
Modulus of Toughness (lbf*in/in3) 29,000 2,275
-10000
0
10000
20000
30000
40000
50000
60000
70000
-0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
Stress[psi]
Strain [in/in]
stress- chuck strain
Aluminum Cast Iron
10
11
12
B) Aluminum Test
-100
0
100
200
300
400
500
600
700
-100 0 100 200 300 400 500 600
Torque[in-lb]
Angle of Twist [degree]
Aluminum
13
-10000
0
10000
20000
30000
40000
50000
60000
70000
-0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
Stress[psi]
Strain [in/in]
Aluminum stress- chuck strain
-10000
0
10000
20000
30000
40000
50000
60000
70000
-0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5
Stress[psi]
Strain [in/in]
Aluminum stress- neck strain
14
y = 1,597,350.06x
R² = 0.98
0
5000
10000
15000
20000
25000
30000
35000
40000
0 0.005 0.01 0.015 0.02 0.025
Stress[psi]
Strain [in/in]
Aluminum elastic region (neck)
y = 1,777,278.47x
R² = 0.98
0
5000
10000
15000
20000
25000
30000
35000
40000
0 0.005 0.01 0.015 0.02
Stress[psi]
Strain [in/in]
Aluminum elastic region (Chuck)
15
C) Cast Iron Test
-100
0
100
200
300
400
500
600
700
800
0 10 20 30 40 50 60 70 80 90
Torque[in-lb]
Angle of twist [Degree]
Cast Iron
0
10000
20000
30000
40000
50000
60000
70000
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08
Stress[psi]
Strain [in/in]
Cast Iron Stress - neck strain
16
0
10000
20000
30000
40000
50000
60000
70000
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07
Stress[psi]
Strain [in/in]
Cast Iron Stress - chuck strain
y = 2,318,889.97x
R² = 0.94
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02
Stress[psi]
Strain [in/in]
Cast Iron elastic (neck)
y = 2,648,429.86x
R² = 0.94
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016
Stress[psi]
Strain [in/in]
Cast Iron elastic (chuck)
17
D) Aluminum Strain gauge test
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
-0.003 -0.002 -0.001 0 0.001 0.002 0.003
Torque[in-lb]
Strain [in/in]
Al strain gauge
y = 3,953,722.61x - 41.83
-15000
-10000
-5000
0
5000
10000
15000
-0.003 -0.002 -0.001 0 0.001 0.002 0.003
Stress[psi]
Strain [in/in]
Aluminum Stress Strain
18
19
32 | P a g e
OBJECTIVE 3:
An ability to design a system, component, or process to meet
desired needs within realistic constraints such as economic,
environmental, social, political, ethical, health and safety,
manufacturability, and sustainability.
Objective three evidence
Enterprise Design Expo Poster
Formula SAE enterprise
James DeClerck
Spring 2015
Description:
I created this poster for the Enterprise and Senior Design Expo. This is an annual
event held at Michigan Tech to allow each enterprise and senior design team to
present their projects and what they have been working on. Each team has to
present a formal PowerPoint and a poster to judges looking for importance,
Criterion Reached:
I chose this poster for this objective because it shows the scope of what the MTU
Formula SAE enterprise encompasses, an enterprise I was enormously involved in.
The first year I was on the team I focused on the chassis, structure, and component
design of the vehicle. While my second year I was the Business and Marketing
Team Lead. At some point of time during my tenure at MTU FSAE I encountered
every criterion in this objective.
Controls features:
● Driver mounted LCD display
● Adjustable brake bias
● Modular ergonomic cockpit
● CAN bus communication
● “Plug and play” deutsch pin wire harness
What is Formula SAE all about?
Formula SAE is an international student competition
whereby teams establish a fictional company to develop a
formula-style race car. Students produce a business and
marketing strategy to examine the feasibility of a
production prototype for their vehicle. Teams design, build,
and validate the prototype vehicle and compete in a series
of events.
Formula SAE Enterprise promotes the development of its
members by exposing them to all aspects of the automotive
industry, including research, design, manufacturing, testing,
developing, marketing and finances of a production vehicle.
Formula SAE allows students to apply textbook theories and
promote clever problem solving in real world applications.
Competition events
Static Events
● Cost and Manufacturing - 100 pts
○ To consider cost and budget in engineering exercises
● Business and Marketing Presentation - 75 pts
○ Develop a viable business case
● Design Judging - 150 pts
○ The engineering effort to meet demands of other events
● Technical Inspection - 0 pts
○ Required to pass to continue to dynamic events
Dynamic Events
● Skid Pad - 50 pts
○ Measures cornering in a figure 8 course
● Acceleration - 75 pts
○ 75m straight line
● Autocross - 150 pts
○ maneuverability and handling over one lap
● Endurance/Efficiency - 400 pts
○ Evaluate the car’s overall performance and test durability and
reliability during 20 laps with zero maintenance
Current Car: F-194
Business and Marketing Event
● High Bridge Autosport is a startup design company
● The team used the Lean Launchpad methodology to
investigate the viability of a ready-to-race amateur track car.
○ Analyzed customer segment and value propositions
○ Discovered a target market and customer workflow
○ Revenue model analysis
○ Potential return on investment 2016 Competition Car Key Features:
F-315
Production Cost Analysis Event
• Yamaha 499cc Genesis Engine
• Improved CVT Transmission
• Return to 13” Wheel assembly
• Steel tube space frame chassis
• Wind tunnel validated composite body
A total cost and bill of materials for
the F-194 was determined for a
hypothetical 1000 units.
Engineering design decisions were
made to examine the trade off
between performance and cost of
each part and assembly.
Cost of production was reduced by
13.1% from last year’s vehicle.
2014 Competition Results
61st
out of 120 teams
Static Events
● Design - 74th
● Presentation - 57th
● Cost - 57th
Dynamic Events
● Acceleration - 40th
● Skidpad - 64th
● Autocross - 59th
● Endurance - 43rd
Capstone Projects
Engine/Drivetrain Specifications
Horsepower 67 hp @ 11,500 rpm
Torque 38 ft-lb @ 9,000 rpm
Red line 12,500 rpm
Comp. Ratio 12.4:1
Intake Side Entry Cluster
Exhaust SS 2-1
Transmission CVT
Drive Chain
Differential Cam and Pawl
General Vehicle Specifications
Weight 450 lb.
CG 11.2 in.
Engine 499cc Two Cyl.
Forward acceleration 1.0g
Braking acceleration 1.55g
Lateral acceleration 1.35g
Controls/Composites Specifications
Master cylinders 5/8” bore pivot type
Proportioning valve 70/30 (dry), 55/45 (wet)
Rotors 7.35” (187 mm)
Body Carbon Fiber
Chassis/Suspension Specifications
Chassis Alloy 1020
Wheel base 60”
Track width 46” (front), 44.5” (rear)
Chassis weight 73 lb.
Torsional Rigidity 1100 ft-lb/deg
Suspension Type Front Linear Push/ Rear Pull Rod
Static Camber -1° (front) 0° (rear)
Toe settings +/- 0.4°
Formula SAE
Enterprise
3 Year Build Cycle
Our team operates on a 3 year cycle from conception to
competition. The Formula SAE Enterprise is focused on
continuous improvement through iterations of design.
In order to produce a new vehicle every year the
enterprise develops three vehicles simultaneously, each
in a different year of development.
Vehicle Production Cost $12,277.32
Target Selling Price $22,000.00
Average Target Production Volume per year 150
Average Target Annual Profit $1,458,402.00
Cost reductions were significant in:
● Frame and body by 23.4% by returning to a fully steel tube chassis and
eliminating expensive composite structural components
● Wheel Assembly by 30.2% by switching to a 10” from a 13” wheel
Powertrain features:
• Yamaha 499cc Genesis Engine
Calibration
• 3D Printed Intake Manifold
• Continuously Variable Transmission with
student developed complex helix angle
• Cam and Pawl differential
Chassis features:
• 6061 aluminum uprights
• 4130 alloy steel hubs
• Front pull/rear push linkage actuated
suspension
• Removable tubes for CVT serviceability
Team History
Design Event
Since 1994, Michigan Tech has designed, fabricated and
competed a performance vehicle at Michigan International
Speedway. Our team continues to use previous years of
experience to conceive future technologies and to build a
faster, safer, more affordable race car.
E85 Development - Designed and implemented
fuel system capable of utilizing 85% ethanol fuel
blend. Completed full recalibration of engine to
account for fuel properties and mandated 19mm
restrictor.
Exhaust Design - Developed and tested full engine
exhaust system to find compromise between overall
engine performance and competition sound
requirements.
Intake Manifold Design - Optimized air flow
through the engine given competition restrictions
with a newly designed intake using simulation
software then validated with flow benching.
Competition Vehicle Support - Designed and
fabricated a pit cart and push bar to encompass the
entire team’s demands and increase efficiency
during competition.
Modeling and Validation Process - Developed a
modeling process for a space frame tube chassis and
documentation on how to validate it for future
iterations.
34 | P a g e
OBJECTIVE 4:
An ability to use the techniques, skills, and modern engineering
tools necessary for engineering practice.
Objective four evidence
Controls Lab 5
Dynamic Controls
Dr. Mohammad Rastigarr
Spring 2015
Description:
This submittal is lab 5 from the Controls Lab. The objective of this lab was to
develop and validate a dynamic model for a two degree of freedom system. In this
lab the system was two carts connected with a spring on a rack and pinion system.
Criterion Reached:
In this lab, I used hand calculation and FBD modeling to understand the system.
Then used control design techniques and software to simulate the model. My
partner and I used MATlab/Simulink code to create a theoretical control design for
the system, with given parameters, to simulate the carts movements. Then in the
code we operated the cart and tracked its motion.
Lab 5: Two Cart System: Dynamic Model Validation
1 Goal
Develop and experimentally validate a dynamic model of the two cart system.
2 Equipment List
Table 1: Equipment
Item Quantity Description
1 1 Quanser UPM-2405 Power Supply
2 1 Two Cart System (connected by a flexible joint)
3 1 Metal ruler
4 1 Dell PC with MultiIO and connector panel
5 2 Encoder cable
6 1 Power cable (6 pin DIN to 4 pin DIN, “1”)
7 1 D/A cable (phono to 5 pin DIN)
3 Introduction
In lab 4, we developed the dynamic model of a single motor-cart system and experimentally validated
it. In this lab you will develop the dynamic equation of a 2 DoF system, where two motor carts are
connected together with a single linear flexible joint (spring). Then, you will simulate the system in
simulink and validate it by performing hardware experiments.
Cart 1 is powered with the help of a DC motor, while cart 2 moves passively and is coupled to cart
1 through a linear spring. These carts move on a linear track with the help of a rack and pinion
mechanism. When the DC motor rotates, it transmits a linear force to the pinion of cart 1 and moves
it horizontally on the track. This eventually moves cart 2. The positions of both the carts are recorded
with the help of encoders, which are calibrated to measure the distance travelled in centimeters.
4 Simulation Configuration
Prior to constructing the Simulink block diagram there are a few modeling parameters and configuration
settings that should be set to ensure proper data management and model construction.
1
MATLAB Working Path Directory
Throughout the duration of this course you will be responsible for constructing multiple Simulink models
and scripts. After each experiment has been executed, you will most likely be charged with constructing
plots from logged data and answering questions pertaining to each experiment. In order to ensure you
can construct plots as needed from logged data, you must ensure your working path directory is properly
defined at the beginning of each experiment as follows:
1. Prior to opening MATLAB create a new folder in your local directory named “Lab N” where N
is the current lab number (i.e. 1,2,3...). Once complete you may open MATLAB.
2. Once MATLAB has finished opening, locate the “Browse For Folder” icon ( ), once located click
the icon to open the browse for folder dialog box.
3. After the dialog box has opened, use the navigational fields to locate and select the newly created
folder within your network directory, once located, click the newly constructed folder (“Lab N”)
to select the folder, and then click the “Select Folder” button to make this folder the MATLAB
working path directory.
4. After completing these steps, any files located within this folder are now part of the working path
directory. During the remainder of a lab, as long as you do not alter the working path directory,
any time you use a load, save, or open command, MATLAB should have no issues opening any
required files or models which you will be required to construct and execute.
Solver Configuration
Prior to simulating any Simulink model you should ensure a couple of key parameters are defined, these
key parameters can be altered as follows:
1. In order to change the model solver parameters, you must access the simulations configuration
parameters, this can be done by locating and selecting the model configuration parameters icon
( ).
2. Once the configuration parameter dialog box has opened, locate and click the “Solver” option.
3. Next locate the “Type:” field located under the “Solver Options”, and modify the contents of the
drop down menu such that the Fixed-Step option has been selected.
4. Next locate the “Solver:” field also located under the “Solver Options”, and modify the contents
of the drop down menu such that “ode4 (Runge-Kutta)” solver is specified.
5. Finally locate the “Fixed-Step Size (Fundamental Sample Time):” input field and input 0.002 for
the sample time.
6. With the fields modified, click apply, to apply all changes, and click ok, to accept all changes to
apply the modified model configuration parameters.
MATLAB Data Logging
There are three separate Simulink parameters that control the amount of data recorded during an
experiment or simulation, please follow the directions to alter the data logging parameters:
1. Model Configuration Parameter Data Logging
2
(a) In order to change this data logging parameter, you must access the simulations configuration
parameters, this can be done by locating and selecting the model configuration parameters
icon ( ).
(b) Once the configuration parameter dialog box has opened, locate and click the “Data Im-
port/Export” option.
(c) Next locate the “Limit data points to last:” option, and uncheck the checked box.
(d) With this option unchecked, click apply, to apply all changes, and click ok, to accept all
changes. It is very important that you select both apply and ok, failure to select either or
both of the specified options may cause Simulink to issue an error when the user attempts
to execute the simulation.
2. External Mode Control Data Logging
(a) In order to change this data logging parameter, you must access the “external mode control
panel”, this can be done by locating and clicking the “Code” file menu, and selecting the
“external mode control panel” option.
(b) Once the “external mode control panel” dialog box has opened, locate and select the “Signal
& Triggering...” option to open the Signal & Triggering dialog box.
(c) Next locate the “Duration:” input field and tack on a few (4) more zeros.
(d) With this field modified, click apply, to apply all changes, and click ok, to accept all changes
to close out of the Signal & Triggering dialog box. Once the external mode control panel is
again displayed, click the ok button to accept and apply all changes.
3. Scope Data Logging
(a) In order to change this data logging parameter, you must locate any scope which has been
included within your Simulink model, and double click the scope to open the graphical display
for the corresponding scope.
(b) If it is already open locate and click the scope configuration parameter icon ( ).
(c) The “Scope Parameters” dialog box will then be displayed, locate and click the “History”
tab to navigate to the scope data logging parameters tab.
(d) Next locate the “Limit data points to last:” option, and uncheck the checked box.
(e) With this option unchecked, click apply, to apply all changes, and click ok, to accept all
changes. You may also close the scops display.
(f) Any time you add a scope from the Simulink library, the data logging parameter will be
checked, ensure this parameter is unchecked, this will enable you to view the entire signal
for the duration of an experiment.
Simulink Model for Hardware in the Loop
1. Throughout the duration of this course you will be responsible for constructing multiple Simulink
models, which utilize physical hardware (cart, water tanks, gear boxes).
2. Prior to building any model which uses physical hardware, locate the “MultiIO Connector Board”,
and count the number of analog input or outputs.
3. The number of input or outputs corresponds to the board type, a q4 board will have four inputs
and outputs and a q8 board will have eight inputs and outputs. Make note of this value.
3
Table 2: Two Cart System Parameters
Parameter Symbol Units Value
Cart 1 mass Mc1
kg 5.42 × 10−1
Cart 2 mass Mc2
kg 4.519 × 10−1
Pinion gear radius rp mm 6.35
Gearhead ratio N n.d. 3.71
Gearhead efficiency ηg n.d. 8.80 × 10−1
Effective Motor armature inertia, includes gear head and pinion Jm kg.m2
5.00 × 10−6
Rolling resistance in bearings under cart 1 B1 N/m/s 4.5
Rolling resistance in bearings under cart 2 B2 N/m/s to be determined
Effective motor damping, includes gear head Bm N/m/s 1.00 × 10−6
Spring Constant Ks N/m to be determined
Motor torque constant Kt
N.m
A 7.69 × 10−3
Motor back emf constant Kb
V.s
rad 7.69 × 10−3
Motor armature resistance Ra ohms 2.60
Motor armature inductance La Henrys ≈ 0
8
1
Table of Contents
Lab 5 ................................................................................................................................ 1
Part 1 ................................................................................................................................ 1
Simulation .......................................................................................................................... 2
Plot ................................................................................................................................... 3
Questions ........................................................................................................................... 3
Lab 5
%Dan Burg
%Troy Foster
Part 1
O1=6.7667;
O2=5.0278;
t1=3.719;
t2=4.116;
Tosc=t2-t1
zeta=log(O1/O2)/(sqrt(4*pi()^2+log(O1/O2)^2))
omegad=2*pi()/Tosc
naturalfrequency=omegad/sqrt(1-zeta^2)
Mc2=.4519; %kg
Mc1=.542; %kg
Jm=.000005;
n=.88;
N=3.71;
Kt=.00796;
Kb=.00769;
B1=4.5;
Bm=.000001;
Ra=2.6; %Ohms
rp=.00635; %m
M=Mc1+Jm/rp^2
Ks=naturalfrequency^2*Mc2 %N/cm
B2=zeta*2*sqrt(Ks*Mc2); %N*cm*s
B=B1+Bm/rp^2+n*N^2*Kt*Kb/(Ra*rp^2)
Tosc =
0.3970
zeta =
0.0472
2
omegad =
15.8267
naturalfrequency =
15.8443
M =
0.6660
Ks =
113.4464
B =
11.5969
Simulation
A=[0 0 1 0;0 0 0 1;-Ks/M Ks/M -B/M 0;Ks/Mc2 -Ks/Mc2 0 -B2/Mc2]
B=[0;0;n*N*Kt/(Ra*rp*M);0]
C=[0 1 0 0]
D=[0]
A =
0 0 1.0000 0
0 0 0 1.0000
-170.3398 170.3398 -17.4128 0
251.0431 -251.0431 0 -1.4964
B =
0
0
2.3635
0
C =
0 1 0 0
3
D =
0
Plot
figure(1);
plot(displacement2.time,displacement2.signals.values,SimDisplacement.time,SimDispla
title('Cart Displacement');
xlabel('Time (sec)');
ylabel('Displacement (cm)');
grid;
legend('Theoretical','Experimental');
Questions
%The plots do not match exactly because there are energy losses due to
%power consumption in the resistor of the motor, friction on the track, the
%cart pulling the wires, and the friction in the gears.
Published with MATLAB® R2014a
44 | P a g e
OBJECTIVE 5:
An ability to function on multidisciplinary teams.
Objective five evidence
Formula SAE Fall Newsletter
Formula SAE enterprise
James DeClerck
Fall 2014
Description:
This submittal is the Fall 2014 Newsletter I wrote to update the sponsors, alumni,
and all interested in knowing what the Michigan Tech Formula SAE Team did
since Spring semester. My intention was to show the accomplishments each sub-
team made and what goals each are working towards. I also intended to show how
appreciative the team was of the sponsors who contributed to our enterprise.
Criterion Reached:
This Newsletter is broken down by each sub-team we had in order to build a
Formula SAE car. Even though, I was on the chassis/structures team my first year,
I had to work with powertrain to discuss packaging and performance. Then, being
the Business Team Lead, I had to coordinate and work with other team leaders to
balance each team’s goals. In a formula SAE team, it is essential to function as a
single team and have the ability to work together with the range of projects it takes
to compete.
Fall 2014 Newssletter
The M
would
Michigan Te
like to than
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their gene
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ula SAE Tea
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56 | P a g e
OBJECTIVE 6:
An ability to identify, formulate, and solve engineering problems.
Objective six evidence
Dynamics Forced Response Test
Mechanical Engineering Lab
James DeClerck
Fall 2014
Description:
This submittal is a MEEM 3000 lab report for the second lab in the dynamics
section of the course. Lab one conducted an experiment on the free response of a
single degree of freedom system. This lab focused on the response of a SDOF
system with external force acting on it. My group and I were tasked to analyze a
washing machine’s spin cycle with the imbalance of a load and determine an
acceptable operating speed.
Criterion Reached:
In order to complete the assignment, the criterions of this objective were
completed. To identify the problem, we first had to understand how a forced
response SDOF acted. We did this by calibrating our instruments and running a
pluck test on a surrogate system to find the parameters of the system. Using these I
calculated the theoretical response of the system, and then tested the system at
various outputs to confirm theoretical calculations. This was used to determine the
proper spin cycle speed we were looking for.
Mechanical Engineering Lab MEEM 3000
Dynamics Lab 2
Forced Response
Submitted to
Dr. James DeClerck
TA: Ming Cheng
Conducted:
November 17, 2014
By. Dan Burg
Lab Partners: Ethan Klaski, Jeremy Hoffman
ABSTRACT
The purpose of this experiment was to determine the safe operating spin speed for a new washing
machine, and determine and recommended changes to the system to improve the displacement.
The maximum displacement the machine can experience during operation is 5 mm. A surrogate
washing machine was set up to measure the acceleration of an unbalanced mass. A pluck test was
first conducted to determine the system parameters. With the system parameters found the
accelerance and compliance plots for the system were made. Then the unbalanced motor was
turned on and recorded acceleration at varying frequencies. This allowed for an accurate
displacement at varying frequency plot to be made and examined. It was found that operating
speeds near resonance peaked passed the 5 mm maximum. It was found that the undamped system
operated under the max displacement when the forcing frequency was less than 498 RPM or more
than 641 RPM. A damper was added to the system and all the tests were repeated. The system
could now operate below 534 or above 546 RPM and still not exceed max displacement. It was
determined that an addition of mass or reduction in stiffness would reduce the displacement
experienced by the system.
BACKGROUND AND OBJECTIVE(S)
The purpose of this experiment was to examine the specification spin speed range for a new model
washing machine. The objective was to find the recommendations for changes to the mass and
stiffness that would increase the acceptable range. The max displacement of the due to the
imbalanced force must not exceed 5 mm for the new machines.
To find the system parameters a pluck test was conducted. From this test, equations 1.1 and 1.2
were used to find the damped frequency (𝜔𝜔𝑑𝑑) and the damping ratio (𝜁𝜁). Log dec was used to find
the damping ratio knowing the cycles (n) and the change in displacement. The damped frequency
was found knowing the time (T) for one period.
𝜁𝜁 =
1
2𝜋𝜋𝜋𝜋
ln(
𝑥𝑥0
𝑥𝑥𝑛𝑛
) 1.1
𝜔𝜔𝑑𝑑 =
2𝜋𝜋
𝑇𝑇
1.2
The natural frequency (𝜔𝜔𝑛𝑛) was determined using the damped frequency and damping ratio.
𝜔𝜔𝑑𝑑 = 𝜔𝜔𝑛𝑛�1 − 𝜁𝜁2 1.3
The natural frequency was then used in equation 1.4 to find the systems stiffness (K) and mass
(m). The damping (c) is then found using equation 1.5.
𝜔𝜔𝑛𝑛 = �
𝑘𝑘
𝑚𝑚
1.4
𝜁𝜁 =
𝐶𝐶
2√𝑘𝑘𝑘𝑘
1.5
Knowing the system parameters, the force due to imbalance (F) is found using equation 1.6 and
knowing the unbalanced mass (m), the eccentricity of the mass (e) and the frequency (𝜔𝜔).
1
𝐹𝐹 = 𝑚𝑚𝑚𝑚𝜔𝜔2
1.6
The following equation are then plotted with the known parameters vs frequency to find the
compliance and accelerance of the system.
𝑋𝑋(𝜔𝜔)
𝐹𝐹(𝜔𝜔)
=
1
𝑘𝑘−𝜔𝜔2 𝑚𝑚+𝑗𝑗𝑗𝑗𝑗𝑗
1.7
𝑋𝑋̈(𝜔𝜔)
𝐹𝐹(𝜔𝜔)
=
𝜔𝜔2
𝑘𝑘−𝜔𝜔2 𝑚𝑚+𝑗𝑗𝑗𝑗𝑗𝑗
1.8
APPARATUS
For this experiment a test stand was used to represent the washing machine. The imbalance in the
washing machine was measured using an accelerometer. A known mass was used during a pluck
test to confirm the system parameters. A voltage supply was used to control the RPM imbalance
of the system. The DAQ system schematic of how the data was collected is shown in the figure
below.
Washer Accelerometer NI Module 9234 NI Chassis Computer
Figure 1: Block diagram of how acceleration was recorded
EXPERIMENTAL PROCEDURES
1. Open the MEEM 3000 labview daq config.vi file and ensure that one channel is turned on.
2. Run the MEEM 3000 labviw Dyn Scope.vi file and set the following parameters
a. Sample Rate at 500
b. Period to 1
c. Bits to 16
d. Range to auto scale
e. Low Pass Filter to 30 Hz
3. Calibrate the accelerometer with the one gee calibrated shaker as previously completed in
Lab 1.
4. Measure the free vibration of the washing machine by performing a pluck test to determine
the mass, stiffness and damping of the system.
5. Measure the free response of the system with a known mass added to validate the
parameters determined in step 4.
6. Produce an overlay plot of the measured and theoretical displacement of the washing
machine.
7. Attach a damper to the system and recalculate the mass, stiffness and damping.
8. Using the provided MASTECH DC power supply provide the washer motor with an output
voltage of 3.0 V and collect a data sample that includes 10-20 peaks.
9. Repeat step 8 with the following output voltages: 3.6, 4.2, 4.8, 5.4, and 6.0 volts.
10. Remove the damper from the washing machine and repeat step 10 to determine the baseline
2
for the washing machine.
MEASUREMENT/DATA SUMMARY
The initial measurements included the acceleration from the pluck test of the system. This test was
conducted twice, one as a baseline for the system and the other with a change in mass to confirm
the findings. The unbalanced mass was removed for the second test. This allowed for the system
parameters of mass, stiffness, and damping to be determined. The figure below shows both tests
plotted.
Figure 2: free response of the system
It is apparent that the change in mass was not significant, but there was a slight change in frequency
which will still allow for substitutions in the calculations to be made.
The next test conducted measured the acceleration due the imbalance of the washing machine. A
mass of 0.022 kg with an eccentricity of 0.0076 m was turned at varying frequencies to find its
impact on the displacement of the system. The figure below shows the plot of the system with 3
volts turning the unbalanced mass.
Figure 3: Steady state response of the system with 3 volts.
-40
-20
0
20
40
0.25 0.45 0.65 0.85 1.05 1.25 1.45 1.65 1.85
Acceleration(m/s^2)
Time (s)
Pluck test
Original system Mass Removed
-6
-4
-2
0
2
4
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
3 volt w/ damper
3
As expected, the system reached a sinusoidal acceleration at steady state. This test was
conducted with and without a damper for the following output voltage settings; 3.0, 3.6, 4.2, 4.8,
5.4 and 6.0 volts, changing the frequency. The additional test plots can be found in the
Appendix.
INTERPRETATION AND ANALYSIS
The initial pluck test allowed the system parameters to be determined. These values were then
confirmed by adding a known mass and using a theoretical overlay plot. The values for the system
parameters are shown in the table below. Detailed calculations can be found in the appendix.
Table 1: Calculated system parameters
Parameters Values
Mass [kg] .495
Stiffness [N/m] 1530.22
Damping [Ns/m] 1.32
Damping ratio .024
Natural frequency [rad/s] 55.60
Using equations 1.6 through 1.7 and the calculated parameters, the accelerance and compliance
for the undamped system was calculated and plotted against frequency. Tests were conducted by
rotating the unbalanced mass at various frequencies and measuring the acceleration. The
acceleration was divided by the force and overlaid on the accelerance plot. The displacement was
divided by the force and overlaid on the compliance plot. These were plotted in the figures below.
These calculations were completed in excel but sample calculations can be found in the appendix.
Figure 4: Theoretical and measured accelerance of the undamped system
0.001
0.01
0.1
1
10
100
1000
0 5 10 15 20 25
Accelerance(1/kg)
Frequency (Hz)
Accelerance vs frequency without damper
Theoretical
Experimental
4
Figure 5: Theoretical and measured compliance of the undamped system
As shown from the plots, the experimental results are extremely close to the theoretical curves.
This gives confirmation that the experiment was ran correctly and the parameters were calculated
correctly. This allowed for an accurate estimate of the spin speed range.
To find the spin speed range that corresponds with the max displacement, the undamped
displacement curve was plotted using the system parameters. This was done by multiplying the
compliance by the force. A maximum displacement line at 5 mm was overlaid to find the spin
speed range.
Figure 6: Displacement curve of the undamped system.
As seen in the plot, the displacement exceeds the maximum allowable at resonance. The spin speed
range would need to be outside 8.79 to 10.68 Hz or 498-641 RPM with the way the system is
designed right now. To ensure the resonance peak does not pass the 5 mm max displacement, an
increase in mass or stiffness should be considered.
A damper was added to the system to investigate how it could change the displacement. To do this
the same pluck experiment was conducted to find the new parameters, but keeping mass and
0.00001
0.0001
0.001
0.01
0.1
1
0 5 10 15 20 25
Compliance(m/N)
Frequency (Hz)
Compliance vs frequency without damper
Theoretical Experimental
0.00001
0.0001
0.001
0.01
0.1
1
0 5 10 15 20 25
Displacement(m)
Frequency (Hz)
Undamped displcement
Displacement Max displancement
5
stiffness constant. The damped pluck test and new parameters can be found in the appendix. The
repetition of the previous undamped system is shown in the following plots.
Figure 7: Theoretical and measured accelerance of the damped system
Figure 8: Theoretical and measured compliance of the damped system
The experimental data does not match as close to the original data, but still follows the trend as
expected. This could be because the damper increases internal stiffness and mass in the system.
The displacement curve is plotted the same way as before to find the spin speed range for the new
system.
0.001
0.01
0.1
1
10
100
1000
0 5 10 15 20 25
Accelrance(1/Kg)
Frequency (Hz)
Accelerance vs frequency with damper
Theoretical
Experimental
0.00001
0.0001
0.001
0.01
0.1
1
0 5 10 15 20 25
Compliance(m/N)
Frequency (Hz)
Compliance vs frequency with damper
Theoretical Experimental
6
Figure 9: Displacement curve of the damped system.
As seen in the plot, the displacement still spikes a little passed the maximum at resonance but is
severely less than before. The new range is smaller than before rendering the damper having a
positive effect on displacement. The new operating range now only excludes 8.9 to 9.1 Hz or 534
to 546 RPM. The same actions as before could improve the displacement or an addition of more
damping could limit the displacement to under 5 mm.
CONCLUSIONS
Initial measurements of a pluck test on a surrogate washing machine was conducted to find the
system parameters. The mass, damping, and stiffness were found.
The frequency of the imbalance mass was changed and acceleration was measured for an
undamped system. From this the acclerance and compliance were made vs the change in
frequency. This allowed for the displacement plot for the system to be made and examined to
determine is changes to the parameters need to be made. It was found that the undamped system
operated under the max displacement when the forcing frequency was less than 498 RPM or
more than 641 RPM. A suggested addition of mass and or decrease stiffness will lower the
amount of displacement the system will experience when near resonance.
A damper was then added to the system and the test was conducted again. It was found that the
increase in damping reduced the amount displacement in the system but still exceeded max near
resonance. The system could now operate below 534 or above 546 RPM. The same suggestions
as before could be made to reduce the displacement.
0.00001
0.0001
0.001
0.01
0.1
1
10
0 5 10 15 20 25
Displacement(m)
Frequency (Hz)
Damped displacement
Theoretical Max Displacement
7
REFERENCES
[1] M. T. University, "Dynamic Systems Lecture 2," Forced Response, 2014.
8
APPENDIX
A) Imbalance plots with no damper
-8
-6
-4
-2
0
2
4
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
3 volt no damper
-8
-6
-4
-2
0
2
4
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
3.6 volt no damper
-8
-6
-4
-2
0
2
4
6
8
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
4.2 volt no damper
9
-10
-8
-6
-4
-2
0
2
4
6
8
10
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
4.8 volt no damper
-15
-10
-5
0
5
10
15
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
5.4 volt no damper
-15
-10
-5
0
5
10
15
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
6 volt no damper
10
B) Imbalance plots with damper
4.37533497 3.81716466
-6
-4
-2
0
2
4
6
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
3 volt w/ damper
-10
-5
0
5
10
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
3.6 volt w/ damper
-8
-6
-4
-2
0
2
4
6
8
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
4.2 volt w/ damper
11
-10
-5
0
5
10
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
4.8 volt w/ damper
-15
-10
-5
0
5
10
15
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
5.4 volt w/ damper
-15
-10
-5
0
5
10
15
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Acceleration(m/s^2)
Time (s)
6 volt w/ damper
12
C) Sample Calculations
13
D) Pluck test for damped system
-40
-30
-20
-10
0
10
20
30
0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9
Acceleration(m/s^2)
Time (s)
Acceleration for damped system
14
72 | P a g e
OBJECTIVE 7:
Understand and appreciate professional and ethical responsibilities.
Objective seven evidence
Order of the Engineer
Dr. William Predebon
Spring 2015
Description:
This submittal is the certificate from an event at the culmination of my engineering
career. The order of the engineer event was a banquet for graduating Mechanical
Engineering seniors to be inducted into the Order. At the event there were awards
given out to students and teacher who exemplified the department and the
mechanical engineering profession.
Criterion Reached:
This certificate shows that I take the responsibility of being an engineer seriously
and understand the integrity that is needed to hold up the profession. There were
faculty and professional speakers that helped us reflect on the obligation we have
in society. This certificate is my commitment to act with integrity in all my
engineering ventures.
74 | P a g e
OBJECTIVE 8:
An ability to communicate effectively.
Objective eight evidence
MacLean-Fogg Fastening Challenge
Formula SAE Enterprise
James DeClerck
Spring 2015
Description:
The submittal is a submission to a third party side-competition at the annual
Formula SAE Michigan competition. The competition was put on by MacLean-
Fogg, a world renowned fastener manufacturer. They asked competitors to submit
a presentation in whatever media necessary to communicate a problem that was
solved using a unique fastener solution. This is the presentation I created for the
Michigan Tech FSAE team that won first place for the MacLean-Fogg Fastening
Challenge. It is worth noting I was not involved in the actual project this
presentation is about, that was the work a senior design team in 2014, but rather I
made a presentation of their work. To do this I had to understand what they did by
reading their reports and dissecting the project on the car and presenting it clearly.
Criterion Reached:
This submittal covers the criteria by showing that I have the ability to
communicate complex ideas and projects in an organized, logical, and aesthetically
pleasing manner. I have the capacity to present information familiar and unfamiliar
to me in a rationale and comprehensive way for all viewers to understand.
2015 Formula SAE
Fastening Challenge!
THE PROBLEM
• 2015 car implements a Continuously Variable Transmission (CVT) into existing space frame chassis design.
• Engine placement restricts packaging options for the CVT’s primary clutch
• Removal of primary clutch is not possible with current frame design due to a tube interference
• Removal of the clutch is needed for general maintenance/inspection and ease of engine removal
• The removal of the clutch is required to install custom flyweights for different dynamic events
Fig 1: Iso view of left rear quarter of model
Fig 2: Top view of model
Primary clutch
Engine
Primary clutch Engine
Interference tube
THE SOLUTION
• Create a removable tube section to allow for easy removal of the primary clutch
• Allows clutch to be pulled directly off of the output shaft
• Tube-end inserts were designed using:
• A “ruffle chip” connection
• 3/8” bolts fasten both sides through a tapped hole
Fig 4: Ruffle chip tube insert design
Fig 3: Assembled ruffle chip tube inserts
THE SOLUTION
Fig 5: Primary clutch in relation to engine and
removable tube (view: front looking back)
Engine
Ruffle Chip Tube inserts
Primary clutch
Removable Tube
Additional Final Assembly Pictures
Fig 6: Side view of final removable tube and primary clutch
Removable Tube
Primary clutch
Ruffle Chip
Tube inserts
VALIDATION
• A tensile test was conducted to ensure structural equivalency when compared with standard
fixed tube.
• As expected, failure occurred at the stress concentrator of the ruffle chip valleys and in line
with the bolt hole
• The inserts failed with a 1.5 safety factor above the required force per the rules proving
equivalent performance
Fig 7: Inserts force-displacement curve
Fig 8: Failed insert
LESSONS LEARNED
• Creative use of fasteners can add modularity to previously fixed components while attaining
superior performance
• Fasteners should be utilized to ease maintenance and assembly/disassembly
• Fasteners can make tightly packaged components accessible.
• Correct fastener use decreases the complexity of advanced assemblies
THANK YOU!
Contact:
Dan Burg, Business Team Lead
dburg@mtu.edu
(651) 707-4182
Involved Members:
Karl Evenson, President
Alex Wells, Chief Engineer
Kyle Ekstrum, Team Member
Cody Kippenhan, Team Member
Jordan Tobey, Team Member
Craig Thole, Team Member
82 | P a g e
OBJECTIVE 9:
The broad education necessary to understand the impact of
engineering solutions in a global, economic, environmental, and
societal context.
Objective nine evidence
Urban Farming Paper
Global Issues
Dr. Ryan Cook
Fall 2013
Description:
This submittal is a paper I wrote about urban farming for an opinion editorial for
my Global Issues class. I was assigned to create an argument on a global trend and
provide cited evidence to back my claim. This is a five paragraph MLA format
paper.
Criterion Reached:
Even though I had studied abroad at my community college, those courses didn’t
transfer as my Global Issues credit. So, my first semester at Tech, I took this class.
I was not too upset because I enjoyed the class and looking into anthropology and
modern issues. I chose urban farming because of the benefits I see over the current
land use model. I used my two years of engineering schooling to dissect urban
farming and how it is impacting society.
Dan Burg
Global Issues UN1025
Ryan Cook
12/12/13
Realities of Urban Farming.
Agriculture is the one innovation that has allowed humans to settle in cities and still
provide food for the growing populous. Agriculture has always been located near the population
hubs due to the ease of providing the goods. In the past century, agriculture has be strategically
separated from the urban areas in the attempt to maximize production. Today, a grass root
movement promoting the return of urban agriculture is happening in cities around the world.
Some believe this new occurrence of urban farming is imposing on other urban development
plans. In this paper, I will explain why I think urban agriculture is appearing, why it will
continue, and what global reasons may be the cause for this.
Prior to the industrial revolution, agriculture was a central focus of urban economies
simply because the food source needed to be nearby for the city to survive (Hodgson 2011). The
new technologies and ease of transportation that came with globalization allowed for farms to be
larger and farther away from population centers. This provided yields unseen before and allowed
the world’s population to grow exponentially. This brings up the question, why is urban
agriculture now being considered again as a means of production? I believe this is because urban
residents see the benefits of farming increasing the vitality of the city. Urban agriculture can
offer health, environmental and economic advantages that make it an appealing movement
(Hendrickson 2012). Urban farming can produce the following benefits. It provides healthy,
cheap produce to the local community. Also, the act of farming in an urban environment limits
the use of large machinery, requiring exercise for those involved. It helps reduce the pollution
created by a monoculture system that has to use large machinery to harvest and transport their
crops long distances. Plants also naturally reduce carbon dioxide that is concentrated in city
centers producing cleaner air. The economic impact is the most disputed benefit to urban
agriculture. Urban agriculture has always flourished in economic crisis because it is recession
proof industry but will this recent movement disappear in a strong future economy. Does urban
farming give a continuous economic boost in the long term?
I think agriculture will continue to rise in urban centers regardless of extenuating
circumstances. The argument that the land could be used for other urban development is
becoming invalid as more innovative ways to integrate urban farming with old and new
development is discovered. Green roofs are a great example of how this is expanding. Green
roofs have been around for centuries (Whittinghill 2012), but the integration they have now with
a modern urban buildings and infrastructure is now relevant. Green roofs have shown to be
benefits to city buildings because their ability to manage storm water, conserve energy and
reduce urban heating by providing insulation to the buildings, increase urban biodiversity by
providing habitat for wildlife, and provide space for urban agriculture, along with others (Rowe
2013). All of these benefits will happen indefinitely if kept up. According to the video clip about
Adolfo the farmer, a variety of crops provides longevity to the soil allowing this process to
continue forever. Urban farms are smaller and provide more variety creating an overall better
environment.
So what global events and processes caused the tipping point that will keep urban
farming from going anywhere? Immanuel Wallerstein points out a world system that essentially
says commodities are produced a far distance from their eventual consumption. I believe people
realize that this world system theory cannot apply to food production. Agricultural products are
perishable by nature and it takes a lot of energy and effort to use a system like the world system
theory in this case. It makes more sense to have these limited time commodities near the final
market. A consequence of globalization is a disconnectedness to the origins of products people
consume. I think people can overlook this when it comes to nonessential products, but when it
comes to food, people like knowing where it comes from. Urban agriculture provides socio-
cultural significance and reconnect consumers with their food and the environment (Cambridge
2010) which has been lost many places due to globalization.
Urban populations benefit with a healthier diet, environment, and economy when urban
agriculture is implemented into development. They are provided with cheap, fresh produce, and a
city spotted with green areas. Urban farms conserve energy and reduce urban heating making
the city cheaper and more livable. Growing in an urban setting provides a sense of community
which is being lost in a globalized world. The urban community become more connected to the
environment. More integration of urban agriculture with old and new development will barrage
the ever more populated cities with benefits for many years to come.
References
To find my argument, I needed to find sources that asked the question of why this was
happening and get a different perspectives. I also wanted to know where this is occurring and
what demographics exists there. This helps me understand more about possible reasons why this
is happening. I then looked for sources that pointed out benefits and problems with urban
farming to determine if it will continue. This lead to my argument that urban farming is the way
of the future and is a necessity for the vitality of cities around the world.
Cambridge J Regions. (2010) Why farm the city? Theorizing urban agriculture through a lens of
metabolic rift. 3 (2): 191-207.doi: 10.1093/cjres/rsq005
http://cjres.oxfordjournals.org/content/3/2/191.full#content-block
I found this article by searching google scholar for the subject. This article explains the
theoretical benefits to urban farming and causes for it happening. This is a peer reviewed
article and the author is in the Department of Geography at the University of California,
Berkeley. This was published in 2009.
Hendrickson Mary K. Porth M. (2012) Urban Agriculture — Best Practices and Possibilities
http://5728452006d458e3e74c-
2f6bef8b2d7e04086879310a43d837d9.r29.cf1.rackcdn.com/Report_UrbanAg_USDN_Oct2012.
pdf
I found this article by googling the subject. The purpose of this paper is to inform the
state of Missouri what works best when it comes to urban agriculture. This report was put
together by the urban sustainability directors, and was conducted by a university of
Missouri extension. This was a report written in 2012.
Hodgson, K., Campbell, M. C., & Bailkey, M. (2011). What is urban agriculture? Planning
Advisory Service Report, (563), 9-34. Retrieved from
http://search.proquest.com/docview/860137217?accountid=28041
I found this source on the database ProQuest by searching “what is urban agriculture.”
The purpose of this article is to inform the reader of the past, present and future of urban
farming. It also provides strategies used to improve modern urban farms. This article was
written as a planning advisory service report for the department of agriculture. It was
published in 2011 making it very timely to the subject.
Wallerstein, I. (2010). The modern World-System: theoretical reprise.
This was an article read in class. The purpose of the article was to explain a theoretical
system of how the world operates. There is not much information on the author, it is only
known to be published in 2010.
Whittinghill, L. J., & Rowe, D. B. (2012). The role of green roof technology in urban
agriculture. Renewable Agriculture and Food Systems, 27(4), 314-322.
doi:http://dx.doi.org/10.1017/S174217051100038X
I found this article by researching green roofs on the database Proquest. The purpose of
this article is to give both the pros and cons of urban agriculture and point out the ability
of green roofs to fit in. The author works at the Department of Horticulture at Michigan
State University and this is a peer reviewed article making this a strong authority. This
article was published in 2012 making it recent.
Green.tv (2013) ADOLFO THE FARMER PRESERVES BIODIVERSITY
http://on.aol.com/video/adolfo-the-farmer-preserves-biodiversity-517826187
This was a video watched in class. The purpose of this video was to show how a small
time farmer can have a more reliable crops by keeping a variety of species. The author is
unknown, only the website is originally was found. This was first posted in 2013.
Rowe, Brad (2013). Green Roof Research. Michigan State University Board of Trustees.
http://www.hrt.msu.edu/greenroof/index.html
This source was found by googling green roofs. The purpose of this website is to provide
the information found in the research of Michigan State on green roofs available to the
public. This is not published work but is an ongoing research project by 7 professors at
Michigan State University. The assignment started in 2000 but has continued to this day.
This source is relatively reliable because it is information presented of university research
but is susceptible to change because it is not published.
92 | P a g e
OBJECTIVE 10:
Display recognition of the need for, and an ability to engage in
life-long learning.
Objective ten evidence
Personal Action Plan
7 Habits of Highly Effective People
Mary Raber
Spring 2015
Description:
This submittal is the conclusion to the 7 Habits of Highly Effective People
enterprise module. This paper is both a reflection of my abilities of the habits and
my actions I will take to continue to be a more effective person. It is directed at my
post grad life.
Criterion Reached:
The reason I chose this paper is because it lays out a continued plan of action I am
doing after graduation. I think continued learning is a staple of any profession, but
with the rate things change in engineering it takes more effort. It takes a plan of
action to know what is needed to stay at the cutting edge an. This paper is a self-
evaluation and presents actions I will take to continue learning.
Dan Burg
7 Habits
4/20/15
Personal Action Plan
After taking the personal assessment provided, I believe it is very accurate for what habits I am
strong and which ones I am working to improve. An important thing I noticed while taking this class was
the habits I was inherently doing in my life but did not realize it. But that being said, I also noticed habits
that would improve my life balance and productiveness.
My strongest habit I noticed was my ability to synergize with people and work with people to
collectively gain together. Habits 4 and 6 were my strongest, and I can definitely see that now that I
know it is considered a habit. This has been something I have felt strongly about for a long time but
never connected it to a habit or something I was actively doing. I attribute this to how I was raised and
the values my parents instilled in me.
I frequently consider how others will feel or the outcomes of my actions have on them. This is
why I am already strong in habits 4 and 6 and in the public victory in general. I believe this is why I have
held various leadership roles and have a lot of friends. I think considerate and compassionate behavior is
a extremely important character attribute, and one that I think is missing from many people's outlook.
I apply public victory habits and specifically habit 4 all the time when I am coaching in the
engineering learning center. When I am coaching, I am very focused on ensuring the student, along with
myself gain the most out of the session. I want them to learn as much about the technical skills and
problem solving as I can teach them, but I also gain a lot about explaining myself and thinking about
problems differently. It is rare that the first time I explain a problem, the student understands it
completely, so I have to think about how another way to look at the problem to correctly solve them.
This usually results in both me and the student growing from solving the problem.
Typically, the outcome is very positive, and both the student and myself feel more confident
about the school work and engineering as a profession. I find it very rewarding to pass the knowledge I
have learned from the hard work I have put in to students who have chosen the same path. This
experience has made me aware of the potential for me to come back to academia after a few years in
industry.
I am working towards building my weaker habits up as well. Two habits I am extremely trying to
build are habit 2 and 3, and not surprisingly I ranked them the worst during my personal assessment. I
have been aware of these weaknesses for a while, but this course has gotten me to start seriously think
about how we can change them.
These have been very difficult to change during this semester because I have been very busy
and with the lack of preparation and poor habits for how to deal with a lot of work in place, it is hard to
change. There were a few times when I really buckled down to start important tasks early and know
what I wanted to do. But as was discussed, habits are easy to make but hard to break and I would slowly
slip back to procrastination.
As the semester ends and I make plans and look forward to starting my career I plan to focus on
my private victory habits. These are not only the weakest habits I have but I think will the most
beneficial I can make for myself to live happily. As the program states that we must conquer private
victory before moving on, I want to work on those. Although I think I have a good grasp on public victory
habits, he states that in order to have a fulfilling life the private victory has to be a priority.
In the next 30 days as I transition from a college student to a professional, I want to work on
habit 3 and start putting first things first. This will help me put things in perspective and I feel like that is
the most important to have a successful career. This habit will also help me have an ideal work life
balance. Putting first things first is a strong desire for me because I struggle with doing the things I love
because I didn't finish the small things that I don't enjoy. During college there is always an end date that
can be worked towards but then a fresh start is right around the corner with a new semester or
summer. As I transition to a full time employee, I have to stay on top of things because if they pile up
there is no end of semester that provides a fresh start.
I have started writing down what activities and things I find most enjoyable in life and I know
what I want to work towards, and this will help me know what to put first in my life. I will seek guidance
from my parents that have always been champions of what is important in life. I know I am a hard
worker, and dedicate a lot of time to things I am passionate about, and improving myself is one of those
things. This course has giving me direction and provided definition to habits I have been working
towards, but just could pinpoint what I needed to change. I know that if I want to change what I put first
I will have to utilize organization tools and have a more structured life. Although I strive off new
experiences, I think I can still plan things while being spontaneous.
I have been working since my first year in college to break some of these habits but they have
been lingering as I have not known or had the skills to break them. I now know I have time and drive to
change these before I start my career. I know I can start this over the summer because I have a lot of
time off before I start and am planning a road trip by myself to work on self-improvement and to get in
touch with myself. This will give me time to work on putting important things in life first and making
sure I have things lined up when I start my job.
I will have a fresh start with my new job. A new location, new friends, and new hobbies I plan to
start, and I also plan to live life to fullest by prioritizing the things in my life. Putting first things first is a
the start of living this life.
Work-life balance is something I find extremely important, and I am concerned with how a lot of
American Society does not prioritize it like I think it should be. I think my job has a good atmosphere
that ensures its employees are not overworked. But I think I can make sure of this if I put first things
first.
95 | P a g e
OBJECTIVE 11:
A knowledge of contemporary issues.
Objective eleven evidence
2015 Post-grad summer road trip
Independent
Summer 2015
Description:
This submittal is unique compared to the others being that it didn’t take place in a
class room setting, or associated with Michigan Tech at all. This is a slide show of
my 6 week road trip between graduation and my start date at my job. When I
accepted my position with the US Navy, I was given a start date of July 27th
. This
was perfect for me because of my desire to complete extended trip after
graduation. I decided a road trip from the Twin Cities through the Southwest, up to
the Pacific Northwest and back would be the most reasonable. I like showing off
pictures and talking about my trip.
Criterion Reached:
The reason I chose this as my submittal for this objective is because it shows my
desire, and how I am actively searching to understand the world around me. I think
in order to actually understand contemporary issues, you have to be exposed to
them and seek diverse information about them. This trip was as much about
visiting the natural wonders of the world through hiking and biking as it was about
meeting people, hearing their stories and experiencing life around the US of A.

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MTU ABET Final

  • 2. ABSTRACT The goal of Michigan Technological University’s Mechanical Engineering program is to prepare students to become world class engineers. Michigan Tech’s Mechanical Engineering Program achieves this by adhering to the eleven objectives stated by the ABET accreditation criterion. Those eleven objectives are that graduates of the MTU Mechanical Engineering program will have the capacity to demonstrate: 1. An ability to apply knowledge of mathematics, science, and engineering 2. An ability to design and conduct experiments, as well as to analyze and interpret data 3. An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability 4. An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. 5. An ability to function on multidisciplinary teams 6. An ability to identify, formulate, and solve engineering problems 7. An understanding of professional and ethical responsibility 8. An ability to communicate effectively 9. The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context 10.A recognition of the need for, and an ability to engage in life-long learning 11. A knowledge of contemporary issues This is my portfolio of work that I completed at Michigan Technological University from the dates of September 2013 to May 2015. This body of work demonstrates my completion of Michigan Tech’s Mechanical Engineering program’s and ABET’s eleven objectives.
  • 3. Table of Contents: I. Objective one Page 1  Materials Homework 5 II. Objective two Page 11  Solid Mechanics Torsion Test III. Objective three Page 32  Enterprise Design Expo Poster IV. Objective four Page 34  Controls Lab 5 V. Objective five Page 44  Formula SAE Newsletter VI. Objective six Page 56  Dynamics Forced Response Test VII. Objective seven Page 72  Order of the Engineer VIII. Objective eight Page 74  FSAE Maclean-Fogg Fastening Challenge IX. Objective nine Page 82  Urban Farming Paper X. Objective ten Page 89  Personal Action Plan XI. Objective eleven Page 95  2015 Post-grad summer road trip
  • 4. 1 | P a g e OBJECTIVE 1: Apply knowledge of mathematics, science, and engineering. Objective one evidence Homework 5 Material and Process Selection Dr. Bruce Pletka Spring 2015 Description: This submittal is the 5th of six homework assignments in MY4800. This class focused on the Ashby Approach to material and process selection utilizing CES material database software. The Ashby Approach uses the variables of a particular problem to find a relationship between constraints and objectives. This assignment consisted of hypothetical real life optimization problems. Criterion Reached: The criterions for objective one are demonstrated throughout this multi-faceted assignment. The assignment takes fundamental and proficient engineering knowledge to solve the problems presented.
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  • 14. 11| P a g e OBJECTIVE 2: An ability to design and conduct experiments, as well as to analyze and interpret data. Objective two evidence Solid Mechanics Torsion Test Mechanical Engineering Lab Dr. Ibrahim Miskioglu Fall 2014 Description: This submittal is the second MEEM 3000 lab report for the solid mechanics section of the course. This assignment was to analyze the differences of material properties in both brittle and ductile materials when subjected to pure shear stress. This laboratory consisted of two different experiments. Experiment 1 consisted of a torsion test to obtain material properties while staying within the elastic region of the material. Experiment 2 loaded the specimens until failure. Criterion Reached: This submittal demonstrates a high level of engineering analysis that covers the criteria for this objective. Step by step, the experiment was designed and conducted to obtain the correct results and interpretation of the data.
  • 15. Mechanical Engineering Lab MEEM 3000 Solid Mechanics Lab 2 Torsion Test Dr. Ibrahim Miskioglu TA: Udit Shrivastava Due 10/13/14 By. Dan Burg Lab Partners: Sean Kuchta, Ethan Klaski, Jeremy Hoffman
  • 16. ABSTRACT The purpose of this lab was to perform a simple torsion test and determine material properties related to the ductility or brittleness of the sample. A Tinius Olsen torsion test machine and a computer, along with a strain gauge for one experiment, were used to collect data. Two tests were done, one turned the specimen to failure, and the other with strain gauges only applied a predetermined load. A few anomalies were found in the data but was decided they would have little effect on the final calculations. Shear stress-strain curves were plotted to obtain material properties. The material properties were compared to published values to determine the accuracy of the calculations. The strain gauge test shear modulus was identical to the published but both were twice that found during the failure test. The other material properties correlated to the published values. The difference in a brittle and ductile torsion failure was observed. Ductile materials failed under shear stress while brittle failed at a 45o under tensile stress. BACKGROUND AND OBJECTIVE(S) Material properties are important factors to consider in engineering. They can help determine when a material is appropriate to use, when maintenance is needed, or the life of a part or component, along with many other uses. The purpose of this test is to conduct a torsion test on aluminum and cast iron samples and determine important material properties of each, and compare them. A torsion test is conducted to determine the shear stress properties of the material. This is important because these stresses are typically lower values than tension and compression stresses, and may be a cause of failure. To calculate theses material properties, a torque is applied and measured with its angle of twist. The shear stress (𝜏𝜏) is calculated using equation 1.1, the Torque (T) and the diameter (d). 𝜏𝜏 = 16𝑇𝑇 𝜋𝜋𝑑𝑑3 1.1 To find the strain (𝛾𝛾) equation 1.2, the angle of twist (𝜃𝜃), the radius (r), and the length (L) of the member are needed. 𝛾𝛾 = 𝜃𝜃𝜃𝜃 𝐿𝐿 1.2 Plotting the stress and strain against each other allows various material properties to be obtained. The Shear Modulus (S) (also known as the Modulus of Rigidity) is the slope of the elastic region of the curve. The proportional limit be found using the Shear modulus, and is considered the stress at which the deformation becomes plastic. The modulus of Rupture is the maximum stress the material can have before failure. The Modulus of Resilience and Modulus of Toughness are also found from the stress-strain curve. Both are a measure of energy absorbed by the material, where the resilience is the energy absorbed during the elastic deformation, and the toughness it the energy absorbed up to fracture. [1] The materials under inspection are aluminum 2024-T4 and Cast Iron. Aluminum 2024-T4 means it is limited to 0.20 percent alloy and is the 24 series, T-4 means it is solution treated and naturally aged. It is typically used in the aerospace industry. [2] 1
  • 17. APPARATUS A Tinius Olsen Test machine was used to conduct the torsion tests in this lab. Both ends of each specimen were secured by jaws in the machine, then the machine turned at a specified rate to apply the force to the piece. The machine was connected to a computer that recorded the force applied and the movement of the machine. The setup is pictured below. Figure 1: Tinius Olsen Torsion Test Machine and Computer DAQ system. A strain gauge was also used for one of the experiments. Below is the schematic of how that DAQ system was configured. EXPERIMENTAL PROCEDURES 1. Non-gaged specimen. a. Record the diameter and length of the necked region b. Position the specimen into the grips of the machine c. Measure the length between the grips d. Zero and balance the machine e. Begin running the test f. Begin with the load rate at 20 degrees per min until the specimen has turned 20 degrees. g. Slowly increase the load rate to 200 degrees per min for the aluminum and 150 degrees per min for the cast iron, until failure. 2. Strain gage specimen a. Record the diameter of the necked down region Chuck Controls Strain gauge Signal conditioner Computer/software Figure 2: Strain gauge DAQ system layout 2
  • 18. b. Appropriately load the specimen into the machine and attach strain gauges. c. Connect the strain gauges to the control box. d. Torque the specimen from 0 to 800 in-lb then to -800 in-lb and then back to 0 lb e. Record the strain every 200 in-lb of torque MEASUREMENT/DATA SUMMARY Initial and final measurements were recorded for each of the specimens for the fracture test. Only the initial diameter for the test was recorded because it did not deform enough under the applied load. Table 1: Initial measurements for the specimens Material Initial Diameter [in] Final Diameter [in] Initial Length [in] Final Length [in] Chuck length [in] Aluminum 0.379 0.371 3.702 3.808 4.119 Cast Iron 0.376 0.374 3.638 3.675 4.155 Aluminum 0.751 - - - - Minor abnormalities were experienced during the start of the experiment for the aluminum. This was because of operator error. When the cast iron neared 250 in-lbs of torque a small interruption in the data appears, this could be because of a slip in the grips or operator error. Both are determined to not have a substantial effect in the calculations. Figure 3: Raw fracture plot for both materials -100 0 100 200 300 400 500 600 700 800 -100 0 100 200 300 400 500 600 Torque[in-lb] Angle of twist [Degree] Aluminum and Cast Iron Cast Iron Aluminum 3
  • 19. The strain gauge data is plotted in the figure below. It shows a linear trend that is expected in the elastic region. Figure 4: Raw strain vs twist plot All data plotted and recorded seemed logical with no serious anomalies, making the data reasonable to interpret and analyze. INTERPRETATION AND ANALYSIS Plotted below is the shear stress vs. shear strain of the strain gauge experiment. The strain gauges were placed 90 degrees apart at 45o off the axis of the specimen, so as the specimen twisted the stresses are pure tensile because a strain gage cannot measure shear. The shear Modulus can also be determined from this data by finding the slope. Figure 5: Aluminum torsional stress as a function of shear strain -1000 -800 -600 -400 -200 0 200 400 600 800 1000 -0.003 -0.002 -0.001 0 0.001 0.002 0.003 Torque[in-lb] Strain [in/in] Aluminum strain gauge y = 3,953,722.61x - 41.83 -15000 -10000 -5000 0 5000 10000 15000 -0.003 -0.002 -0.001 0 0.001 0.002 0.003 Stress[psi] Strain [in/in] Aluminum Stress Strain 4
  • 20. The shear modulus of the specimen was found to be 3,953,722 psi. This is undistinguishable to the accepted shear modulus found on MatWeb of Aluminum 2024 that is 3,950,000 psi [3]. The shear stress-strain curves for both the aluminum and cast iron specimens were plotted using both the length of the necked region and the distance between the grips. From this, shear modulus was determined, and then referenced to the published data shown in the table below. Table 2: experimental and published Shear moduli for Aluminum and Cast Iron Material Neck Shear Mod. [psi] Chuck Shear Mod. [psi] Published Shear Mod. [psi] Aluminum 1,600,000 1,777,000 3,950,000 Cast Iron 2,319,000 2,650,000 5,900,000 This was done to determine which length is more accurate to use. The plots to determine this can be found in the appendix in their respective sections. As the table shows, neither were close to the published data but the chuck to chuck length was closer. This measurement was then used to find the material properties using the figure below. Figure 6: Stress-strain for both materials using chuck length From this figure, all the material properties were found and populated the table below. The modulus of rigidity is shown by the black line for the cast iron and the green line for aluminum. The proportional limit is where that line no longer is the trend line to the curve. The rupture value is the highest peak value. The toughness and resilience was the estimated calculated area under the curve. 0 10000 20000 30000 40000 50000 60000 70000 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Stress[psi] Strain [in/in] stress- strain (chuck) Aluminum Cast Iron Y=1,777,000x Y=2,650,000x 5
  • 21. Table 3: Calculated material properties of both specimens Property Aluminum Cast Iron Modulus of Rigidity (Psi) 1,780,000 2,650,000 Proportional Limit (Psi) 30,000 45,000 Modulus of Rupture (Psi) 61,000 64,000 Modulus of Resilience (lbf*in/in3) 186 360 Modulus of Toughness (lbf*in/in3) 29,000 2,275 Besides the shear modulus, the values found from the experiment was close to the publish data. The way the specimens failed was expected. Aluminum is a ductile metal and failed under max shear stress. This is shown from the clean straight cut of the specimen in the figure below. The brittle cast iron failed, it was due to the max tensile stress. During a torsion, this appears at a 45o angle and is shown by the helix shape in the figure below. Figure 7: Aluminum (left) and Cast iron (right) specimens after failure More images of the failures for both the aluminum and cast iron specimens can be found in their respective appendices. CONCLUSIONS A torsion test of an aluminum rod with strain gauges applied 90o apart on the specimen and 45o off axis to ensure pure tensile strain data was collected. From this data the stress-strain curve was plotted to determine the shear modulus. It was found to be exactly the same as accepted published data. 6
  • 22. Using data from a torsion test on the cast iron and aluminum, a shear stress-strain curve was created to determine material properties of the specimens. A curve was made for a length equal to the necked region of the sample and the chuck to chuck measurement. It was found the chuck length yielded a closer shear modulus result than the other. This curve was then used to find the other material properties. It was also concluded, ductile materials fail with a clean cut perpendicular to the specimen due to reaching max shear stress. While brittle materials fail due to mas tensile stress, resulting in a 45o fracture. 7
  • 23. REFERENCES [1] D. Burg, "Solid Mechanics Lab 1: Tensile Test," Michigan Tech, Houghton, 10/6/14. [2] Alcoa, "Alloy 2024," [Online]. Available: http://www.alcoa.com/mill_products/catalog/pdf/alloy2024techsheet.pdf. [Accessed 10 10 2014]. [3] MatWeb, "Aluminum 2024-T4; 2024-T351," 2014. [Online]. Available: http://www.matweb.com/search/DataSheet.aspx?MatGUID=67d8cd7c00a04ba29b618484f7ff7524&ckck=1. [Accessed 10 10 2014]. [4] M. T. University, "Laboratory 3: Digital Data Acquisition," 2012. [5] MatWeb, "ASTM class 40 Standard gray iron test bars, as cast," 2014. [Online]. Available: http://www.matweb.com/search/DataSheet.aspx?MatGUID=0ddc4db90ca3474d8ee1aa021896f281. [Accessed 11 10 2014]. 8
  • 24. APPENDIX A) General Test Material Initial Diameter [in] Final Diameter [in] Initial Length [in] Final Length [in] Chuck length [in] Aluminum 0.379 0.371 3.702 3.808 4.119 Cast Iron 0.376 0.374 3.638 3.675 4.155 Material Neck Shear Mod. Chuck Shear Mod. Published Shear Mod. Aluminum 1,600,000 1,777,000 3,950,000 Cast Iron 2,319,000 2,650,000 5,900,000 -100 0 100 200 300 400 500 600 700 800 -100 0 100 200 300 400 500 600 Torque[in-lb] Angle of twist [Degree] Aluminum and Cast Iron Cast Iron Aluminum 9
  • 25. Property Aluminum Cast Iron Modulus of Rigidity (Psi) 1,780,000 2,650,000 Proportional Limit (Psi) 30,000 45,000 Modulus of Rupture (Psi) 61,000 64,000 Modulus of Resilience (lbf*in/in3) 186 360 Modulus of Toughness (lbf*in/in3) 29,000 2,275 -10000 0 10000 20000 30000 40000 50000 60000 70000 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Stress[psi] Strain [in/in] stress- chuck strain Aluminum Cast Iron 10
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  • 28. B) Aluminum Test -100 0 100 200 300 400 500 600 700 -100 0 100 200 300 400 500 600 Torque[in-lb] Angle of Twist [degree] Aluminum 13
  • 29. -10000 0 10000 20000 30000 40000 50000 60000 70000 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Stress[psi] Strain [in/in] Aluminum stress- chuck strain -10000 0 10000 20000 30000 40000 50000 60000 70000 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 Stress[psi] Strain [in/in] Aluminum stress- neck strain 14
  • 30. y = 1,597,350.06x R² = 0.98 0 5000 10000 15000 20000 25000 30000 35000 40000 0 0.005 0.01 0.015 0.02 0.025 Stress[psi] Strain [in/in] Aluminum elastic region (neck) y = 1,777,278.47x R² = 0.98 0 5000 10000 15000 20000 25000 30000 35000 40000 0 0.005 0.01 0.015 0.02 Stress[psi] Strain [in/in] Aluminum elastic region (Chuck) 15
  • 31. C) Cast Iron Test -100 0 100 200 300 400 500 600 700 800 0 10 20 30 40 50 60 70 80 90 Torque[in-lb] Angle of twist [Degree] Cast Iron 0 10000 20000 30000 40000 50000 60000 70000 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 Stress[psi] Strain [in/in] Cast Iron Stress - neck strain 16
  • 32. 0 10000 20000 30000 40000 50000 60000 70000 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 Stress[psi] Strain [in/in] Cast Iron Stress - chuck strain y = 2,318,889.97x R² = 0.94 0 5000 10000 15000 20000 25000 30000 35000 40000 45000 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Stress[psi] Strain [in/in] Cast Iron elastic (neck) y = 2,648,429.86x R² = 0.94 0 5000 10000 15000 20000 25000 30000 35000 40000 45000 0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 Stress[psi] Strain [in/in] Cast Iron elastic (chuck) 17
  • 33. D) Aluminum Strain gauge test -1000 -800 -600 -400 -200 0 200 400 600 800 1000 -0.003 -0.002 -0.001 0 0.001 0.002 0.003 Torque[in-lb] Strain [in/in] Al strain gauge y = 3,953,722.61x - 41.83 -15000 -10000 -5000 0 5000 10000 15000 -0.003 -0.002 -0.001 0 0.001 0.002 0.003 Stress[psi] Strain [in/in] Aluminum Stress Strain 18
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  • 35. 32 | P a g e OBJECTIVE 3: An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability. Objective three evidence Enterprise Design Expo Poster Formula SAE enterprise James DeClerck Spring 2015 Description: I created this poster for the Enterprise and Senior Design Expo. This is an annual event held at Michigan Tech to allow each enterprise and senior design team to present their projects and what they have been working on. Each team has to present a formal PowerPoint and a poster to judges looking for importance, Criterion Reached: I chose this poster for this objective because it shows the scope of what the MTU Formula SAE enterprise encompasses, an enterprise I was enormously involved in. The first year I was on the team I focused on the chassis, structure, and component design of the vehicle. While my second year I was the Business and Marketing Team Lead. At some point of time during my tenure at MTU FSAE I encountered every criterion in this objective.
  • 36. Controls features: ● Driver mounted LCD display ● Adjustable brake bias ● Modular ergonomic cockpit ● CAN bus communication ● “Plug and play” deutsch pin wire harness What is Formula SAE all about? Formula SAE is an international student competition whereby teams establish a fictional company to develop a formula-style race car. Students produce a business and marketing strategy to examine the feasibility of a production prototype for their vehicle. Teams design, build, and validate the prototype vehicle and compete in a series of events. Formula SAE Enterprise promotes the development of its members by exposing them to all aspects of the automotive industry, including research, design, manufacturing, testing, developing, marketing and finances of a production vehicle. Formula SAE allows students to apply textbook theories and promote clever problem solving in real world applications. Competition events Static Events ● Cost and Manufacturing - 100 pts ○ To consider cost and budget in engineering exercises ● Business and Marketing Presentation - 75 pts ○ Develop a viable business case ● Design Judging - 150 pts ○ The engineering effort to meet demands of other events ● Technical Inspection - 0 pts ○ Required to pass to continue to dynamic events Dynamic Events ● Skid Pad - 50 pts ○ Measures cornering in a figure 8 course ● Acceleration - 75 pts ○ 75m straight line ● Autocross - 150 pts ○ maneuverability and handling over one lap ● Endurance/Efficiency - 400 pts ○ Evaluate the car’s overall performance and test durability and reliability during 20 laps with zero maintenance Current Car: F-194 Business and Marketing Event ● High Bridge Autosport is a startup design company ● The team used the Lean Launchpad methodology to investigate the viability of a ready-to-race amateur track car. ○ Analyzed customer segment and value propositions ○ Discovered a target market and customer workflow ○ Revenue model analysis ○ Potential return on investment 2016 Competition Car Key Features: F-315 Production Cost Analysis Event • Yamaha 499cc Genesis Engine • Improved CVT Transmission • Return to 13” Wheel assembly • Steel tube space frame chassis • Wind tunnel validated composite body A total cost and bill of materials for the F-194 was determined for a hypothetical 1000 units. Engineering design decisions were made to examine the trade off between performance and cost of each part and assembly. Cost of production was reduced by 13.1% from last year’s vehicle. 2014 Competition Results 61st out of 120 teams Static Events ● Design - 74th ● Presentation - 57th ● Cost - 57th Dynamic Events ● Acceleration - 40th ● Skidpad - 64th ● Autocross - 59th ● Endurance - 43rd Capstone Projects Engine/Drivetrain Specifications Horsepower 67 hp @ 11,500 rpm Torque 38 ft-lb @ 9,000 rpm Red line 12,500 rpm Comp. Ratio 12.4:1 Intake Side Entry Cluster Exhaust SS 2-1 Transmission CVT Drive Chain Differential Cam and Pawl General Vehicle Specifications Weight 450 lb. CG 11.2 in. Engine 499cc Two Cyl. Forward acceleration 1.0g Braking acceleration 1.55g Lateral acceleration 1.35g Controls/Composites Specifications Master cylinders 5/8” bore pivot type Proportioning valve 70/30 (dry), 55/45 (wet) Rotors 7.35” (187 mm) Body Carbon Fiber Chassis/Suspension Specifications Chassis Alloy 1020 Wheel base 60” Track width 46” (front), 44.5” (rear) Chassis weight 73 lb. Torsional Rigidity 1100 ft-lb/deg Suspension Type Front Linear Push/ Rear Pull Rod Static Camber -1° (front) 0° (rear) Toe settings +/- 0.4° Formula SAE Enterprise 3 Year Build Cycle Our team operates on a 3 year cycle from conception to competition. The Formula SAE Enterprise is focused on continuous improvement through iterations of design. In order to produce a new vehicle every year the enterprise develops three vehicles simultaneously, each in a different year of development. Vehicle Production Cost $12,277.32 Target Selling Price $22,000.00 Average Target Production Volume per year 150 Average Target Annual Profit $1,458,402.00 Cost reductions were significant in: ● Frame and body by 23.4% by returning to a fully steel tube chassis and eliminating expensive composite structural components ● Wheel Assembly by 30.2% by switching to a 10” from a 13” wheel Powertrain features: • Yamaha 499cc Genesis Engine Calibration • 3D Printed Intake Manifold • Continuously Variable Transmission with student developed complex helix angle • Cam and Pawl differential Chassis features: • 6061 aluminum uprights • 4130 alloy steel hubs • Front pull/rear push linkage actuated suspension • Removable tubes for CVT serviceability Team History Design Event Since 1994, Michigan Tech has designed, fabricated and competed a performance vehicle at Michigan International Speedway. Our team continues to use previous years of experience to conceive future technologies and to build a faster, safer, more affordable race car. E85 Development - Designed and implemented fuel system capable of utilizing 85% ethanol fuel blend. Completed full recalibration of engine to account for fuel properties and mandated 19mm restrictor. Exhaust Design - Developed and tested full engine exhaust system to find compromise between overall engine performance and competition sound requirements. Intake Manifold Design - Optimized air flow through the engine given competition restrictions with a newly designed intake using simulation software then validated with flow benching. Competition Vehicle Support - Designed and fabricated a pit cart and push bar to encompass the entire team’s demands and increase efficiency during competition. Modeling and Validation Process - Developed a modeling process for a space frame tube chassis and documentation on how to validate it for future iterations.
  • 37. 34 | P a g e OBJECTIVE 4: An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. Objective four evidence Controls Lab 5 Dynamic Controls Dr. Mohammad Rastigarr Spring 2015 Description: This submittal is lab 5 from the Controls Lab. The objective of this lab was to develop and validate a dynamic model for a two degree of freedom system. In this lab the system was two carts connected with a spring on a rack and pinion system. Criterion Reached: In this lab, I used hand calculation and FBD modeling to understand the system. Then used control design techniques and software to simulate the model. My partner and I used MATlab/Simulink code to create a theoretical control design for the system, with given parameters, to simulate the carts movements. Then in the code we operated the cart and tracked its motion.
  • 38. Lab 5: Two Cart System: Dynamic Model Validation 1 Goal Develop and experimentally validate a dynamic model of the two cart system. 2 Equipment List Table 1: Equipment Item Quantity Description 1 1 Quanser UPM-2405 Power Supply 2 1 Two Cart System (connected by a flexible joint) 3 1 Metal ruler 4 1 Dell PC with MultiIO and connector panel 5 2 Encoder cable 6 1 Power cable (6 pin DIN to 4 pin DIN, “1”) 7 1 D/A cable (phono to 5 pin DIN) 3 Introduction In lab 4, we developed the dynamic model of a single motor-cart system and experimentally validated it. In this lab you will develop the dynamic equation of a 2 DoF system, where two motor carts are connected together with a single linear flexible joint (spring). Then, you will simulate the system in simulink and validate it by performing hardware experiments. Cart 1 is powered with the help of a DC motor, while cart 2 moves passively and is coupled to cart 1 through a linear spring. These carts move on a linear track with the help of a rack and pinion mechanism. When the DC motor rotates, it transmits a linear force to the pinion of cart 1 and moves it horizontally on the track. This eventually moves cart 2. The positions of both the carts are recorded with the help of encoders, which are calibrated to measure the distance travelled in centimeters. 4 Simulation Configuration Prior to constructing the Simulink block diagram there are a few modeling parameters and configuration settings that should be set to ensure proper data management and model construction. 1
  • 39. MATLAB Working Path Directory Throughout the duration of this course you will be responsible for constructing multiple Simulink models and scripts. After each experiment has been executed, you will most likely be charged with constructing plots from logged data and answering questions pertaining to each experiment. In order to ensure you can construct plots as needed from logged data, you must ensure your working path directory is properly defined at the beginning of each experiment as follows: 1. Prior to opening MATLAB create a new folder in your local directory named “Lab N” where N is the current lab number (i.e. 1,2,3...). Once complete you may open MATLAB. 2. Once MATLAB has finished opening, locate the “Browse For Folder” icon ( ), once located click the icon to open the browse for folder dialog box. 3. After the dialog box has opened, use the navigational fields to locate and select the newly created folder within your network directory, once located, click the newly constructed folder (“Lab N”) to select the folder, and then click the “Select Folder” button to make this folder the MATLAB working path directory. 4. After completing these steps, any files located within this folder are now part of the working path directory. During the remainder of a lab, as long as you do not alter the working path directory, any time you use a load, save, or open command, MATLAB should have no issues opening any required files or models which you will be required to construct and execute. Solver Configuration Prior to simulating any Simulink model you should ensure a couple of key parameters are defined, these key parameters can be altered as follows: 1. In order to change the model solver parameters, you must access the simulations configuration parameters, this can be done by locating and selecting the model configuration parameters icon ( ). 2. Once the configuration parameter dialog box has opened, locate and click the “Solver” option. 3. Next locate the “Type:” field located under the “Solver Options”, and modify the contents of the drop down menu such that the Fixed-Step option has been selected. 4. Next locate the “Solver:” field also located under the “Solver Options”, and modify the contents of the drop down menu such that “ode4 (Runge-Kutta)” solver is specified. 5. Finally locate the “Fixed-Step Size (Fundamental Sample Time):” input field and input 0.002 for the sample time. 6. With the fields modified, click apply, to apply all changes, and click ok, to accept all changes to apply the modified model configuration parameters. MATLAB Data Logging There are three separate Simulink parameters that control the amount of data recorded during an experiment or simulation, please follow the directions to alter the data logging parameters: 1. Model Configuration Parameter Data Logging 2
  • 40. (a) In order to change this data logging parameter, you must access the simulations configuration parameters, this can be done by locating and selecting the model configuration parameters icon ( ). (b) Once the configuration parameter dialog box has opened, locate and click the “Data Im- port/Export” option. (c) Next locate the “Limit data points to last:” option, and uncheck the checked box. (d) With this option unchecked, click apply, to apply all changes, and click ok, to accept all changes. It is very important that you select both apply and ok, failure to select either or both of the specified options may cause Simulink to issue an error when the user attempts to execute the simulation. 2. External Mode Control Data Logging (a) In order to change this data logging parameter, you must access the “external mode control panel”, this can be done by locating and clicking the “Code” file menu, and selecting the “external mode control panel” option. (b) Once the “external mode control panel” dialog box has opened, locate and select the “Signal & Triggering...” option to open the Signal & Triggering dialog box. (c) Next locate the “Duration:” input field and tack on a few (4) more zeros. (d) With this field modified, click apply, to apply all changes, and click ok, to accept all changes to close out of the Signal & Triggering dialog box. Once the external mode control panel is again displayed, click the ok button to accept and apply all changes. 3. Scope Data Logging (a) In order to change this data logging parameter, you must locate any scope which has been included within your Simulink model, and double click the scope to open the graphical display for the corresponding scope. (b) If it is already open locate and click the scope configuration parameter icon ( ). (c) The “Scope Parameters” dialog box will then be displayed, locate and click the “History” tab to navigate to the scope data logging parameters tab. (d) Next locate the “Limit data points to last:” option, and uncheck the checked box. (e) With this option unchecked, click apply, to apply all changes, and click ok, to accept all changes. You may also close the scops display. (f) Any time you add a scope from the Simulink library, the data logging parameter will be checked, ensure this parameter is unchecked, this will enable you to view the entire signal for the duration of an experiment. Simulink Model for Hardware in the Loop 1. Throughout the duration of this course you will be responsible for constructing multiple Simulink models, which utilize physical hardware (cart, water tanks, gear boxes). 2. Prior to building any model which uses physical hardware, locate the “MultiIO Connector Board”, and count the number of analog input or outputs. 3. The number of input or outputs corresponds to the board type, a q4 board will have four inputs and outputs and a q8 board will have eight inputs and outputs. Make note of this value. 3
  • 41. Table 2: Two Cart System Parameters Parameter Symbol Units Value Cart 1 mass Mc1 kg 5.42 × 10−1 Cart 2 mass Mc2 kg 4.519 × 10−1 Pinion gear radius rp mm 6.35 Gearhead ratio N n.d. 3.71 Gearhead efficiency ηg n.d. 8.80 × 10−1 Effective Motor armature inertia, includes gear head and pinion Jm kg.m2 5.00 × 10−6 Rolling resistance in bearings under cart 1 B1 N/m/s 4.5 Rolling resistance in bearings under cart 2 B2 N/m/s to be determined Effective motor damping, includes gear head Bm N/m/s 1.00 × 10−6 Spring Constant Ks N/m to be determined Motor torque constant Kt N.m A 7.69 × 10−3 Motor back emf constant Kb V.s rad 7.69 × 10−3 Motor armature resistance Ra ohms 2.60 Motor armature inductance La Henrys ≈ 0 8
  • 42.
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  • 45. 1 Table of Contents Lab 5 ................................................................................................................................ 1 Part 1 ................................................................................................................................ 1 Simulation .......................................................................................................................... 2 Plot ................................................................................................................................... 3 Questions ........................................................................................................................... 3 Lab 5 %Dan Burg %Troy Foster Part 1 O1=6.7667; O2=5.0278; t1=3.719; t2=4.116; Tosc=t2-t1 zeta=log(O1/O2)/(sqrt(4*pi()^2+log(O1/O2)^2)) omegad=2*pi()/Tosc naturalfrequency=omegad/sqrt(1-zeta^2) Mc2=.4519; %kg Mc1=.542; %kg Jm=.000005; n=.88; N=3.71; Kt=.00796; Kb=.00769; B1=4.5; Bm=.000001; Ra=2.6; %Ohms rp=.00635; %m M=Mc1+Jm/rp^2 Ks=naturalfrequency^2*Mc2 %N/cm B2=zeta*2*sqrt(Ks*Mc2); %N*cm*s B=B1+Bm/rp^2+n*N^2*Kt*Kb/(Ra*rp^2) Tosc = 0.3970 zeta = 0.0472
  • 46. 2 omegad = 15.8267 naturalfrequency = 15.8443 M = 0.6660 Ks = 113.4464 B = 11.5969 Simulation A=[0 0 1 0;0 0 0 1;-Ks/M Ks/M -B/M 0;Ks/Mc2 -Ks/Mc2 0 -B2/Mc2] B=[0;0;n*N*Kt/(Ra*rp*M);0] C=[0 1 0 0] D=[0] A = 0 0 1.0000 0 0 0 0 1.0000 -170.3398 170.3398 -17.4128 0 251.0431 -251.0431 0 -1.4964 B = 0 0 2.3635 0 C = 0 1 0 0
  • 47. 3 D = 0 Plot figure(1); plot(displacement2.time,displacement2.signals.values,SimDisplacement.time,SimDispla title('Cart Displacement'); xlabel('Time (sec)'); ylabel('Displacement (cm)'); grid; legend('Theoretical','Experimental'); Questions %The plots do not match exactly because there are energy losses due to %power consumption in the resistor of the motor, friction on the track, the %cart pulling the wires, and the friction in the gears. Published with MATLAB® R2014a
  • 48. 44 | P a g e OBJECTIVE 5: An ability to function on multidisciplinary teams. Objective five evidence Formula SAE Fall Newsletter Formula SAE enterprise James DeClerck Fall 2014 Description: This submittal is the Fall 2014 Newsletter I wrote to update the sponsors, alumni, and all interested in knowing what the Michigan Tech Formula SAE Team did since Spring semester. My intention was to show the accomplishments each sub- team made and what goals each are working towards. I also intended to show how appreciative the team was of the sponsors who contributed to our enterprise. Criterion Reached: This Newsletter is broken down by each sub-team we had in order to build a Formula SAE car. Even though, I was on the chassis/structures team my first year, I had to work with powertrain to discuss packaging and performance. Then, being the Business Team Lead, I had to coordinate and work with other team leaders to balance each team’s goals. In a formula SAE team, it is essential to function as a single team and have the ability to work together with the range of projects it takes to compete.
  • 49. Fall 2014 Newssletter The M would Michigan Te like to than echnologic nk our spo Spo cal Univers onsors for onsor sity Formu their gene rs ula SAE Tea erous supp   am port. 1 | P a g e     e  
  • 50. Fall Alum Form This the team exci Mich May thro reac of re com This the whe tests dow befo valid The com susp jigs. Gen Tran work We new it! A stop com on p The sem dona 2014 News mni and mula SAE s fall has be Formula S m started tement and higan Inte y. This fue ughout the ch our dead eturning to mpete. s year’s com Yamaha G eel assemb s and valid wn for fina ore reasse dation and e F-315, w mpetition ca pension is c This car nesis power nsmission ( k notching t have a lot w engine pa All team me p to make mpleted by t pace to reac team has mester by i ations to pr sletter Sponsors Team, een an exc SAE team a this sem d enthusia rnational S eled the pa office and dlines and m MIS better mpetition ca Genesis en bly has be dations. Th al fabricati embly for eventual co which is ar’s 13 inch currently be r will con r plant and CVT). Team tubes and f of challeng ackage and embers ha sure that their deadli ch our com added an e investing a rovide a saf of Michig citing time t at Michigan mester still sm from c Speedway assion we d shop this move close prepared a ar, the F-19 gine and n een put th he F-194 on and m spring t ompetition. based off h wheel as eing constr tinue usin d Continuou m members fabricating ges with de CVT but w ave been w t the proje nes and in petition goa emphasis o and receivi fe work env gan Tech’ to be part o n Tech. Ou riding th competing a (MIS) la have see semester t er to our go and ready t 94, featurin new 10 inc rough initi is now tor modification testing an f the 201 ssembly an ucted on th ng the ne usly Variab s are hard a mounts. eveloping th we are up fo working non ects will b time to sta als. of safety th ng graciou vironment. ’s of ur he at st en to al to ng ch al rn ns nd 14 nd he w le at he or n- be ay is us We w contin our s would like nued supp success this to thank y port and loo s year with you all aga ok forward you! 2 | P a g e ain for you to sharing   e   r g
  • 51. Fall Pow The com Gen the twin A la only but Tran drive optim drive The mee team CVT runn suffi exch 2014 News wertrain Sub Powertrai mplete a lon nesis engin first year w engine. arge step fo y the imple also a nsmission etrain will a mum speed er being in project is p eting or exc m is worki T, durability ning in iciently coo hanger use sletter b-Team Upd in team is ng to-do li ne ready fo we are run orward with mentation new C (CVT). In allow the e d and redu the right ge progressing ceeding dea ng to ove y of the r hot summ oling the en d on the sto date s currently st to get t or competit nning the 4 h the powe of the Gen Continuousl ncorporating engine to o uce the con ear. g rapidly an adlines. Ch ercome are ubber CVT mer cond ngine witho ock Phazer working t the Yamah tion. This 499 cc inlin ertrain is no nesis engin y Variab g this ne perate at it ncern of th nd constant hallenges th e tuning th T belt whe itions, an out the hea r. to ha is ne ot ne le w ts he tly he he en nd at One seme Engin to us two e time the d of our g ester has b nes: one fo se for the d engines ha spent switc yno, an iss greatest a been having or dyno cali dynamic ca s greatly re ching the e sue that app accomplish g two runni ibration, an ar testing. educed the engine from peared ofte 3 | P a g e ments this ng Genesis nd the othe The use o e amount o m the car to en last year   e   s s r of of o .
  • 52. Fall The curr stoc Elec fuel with exha Cap intak print The offse for a both Ano been use mea with dyno Com - - - - Impr - - - 2014 News calibration ently unde ck ECM ctronics EC base-map. FSAE reg aust. Both pstone proje ke has alre ted by McL intake fac et cranksha an intake t h cylinders. ther focus n to improv to the d asuring, ser the inform o safely, wi mpleted dyn - Servo co - Measure - Water le - System rovements - Refinish - Refinish - Servo co sletter n of the G erway. Aft to the CM, calibrati . Other mo ulation incl h of which a ects this ye eady been Laren Perfo ces a spe aft angle w hat will giv for the te ve safety, dynamomet rvos, and w mation and th high pre no improvem ontrolled lo ed water dis evel control kill switch to look forw hed bed pla hed wiring h ontrolled th Genesis en ter switchin team’s P ion began b odifications udes a new are Senior ear. A proto made, an ormance Te cial challe will necessi ve adequate eam this se reliability, a ter set up wiring provi control to cision. ments inclu ad valve scharge tem valve ward to: te harness rottle gine is als ng from th Performanc by building that comp w intake an Engineerin otype for th nd has bee echnologie nge, as th itate a nee e air flow t emester ha and ease o p. Upgrade de the team operate th ude: mperature so he ce a ly nd ng he en s. he ed to as of ed m he 4 | P a g e   e  
  • 53. Fall Chas At th F-15 befo year furth testi acqu the t The indiv prof its reas fitted whe The F-19 Acq is be team acce 2014 News ssis Sub-Te he start of 51 has bee ore winter s r is not com her improv ing differen uisition sys team F-194 vidual com fessionally return with ssembled w d with new eel assembl most innov 94 car is uisition (DA eing tested m to rece eleration an sletter eam Update the semes en undergo set in. Whi mpeting, we ve future d nt tuning pa tem is prov is curren mponents a painted ov h a fresh with new co parts. This ly Tech is b vative task the imple AQ) system d on the F- eive real- nd wheel tra e ster, the F- oing testing ile the F-15 e have bee designs th ackages. Th ving to be a tly disass and the fr ver winter b paint job omponents s will be the bringing to c that is ongo ementation m. This sy -151 car, w time data avel. The n 194 and th g and tunin 51 from la en using it t hrough trac he new dat a vital tool fo sembled t rame to b break. Upo b it will b and will b e first 10 inc competition oing with th of a Dat ystem, whic will allow th a, such a new DAQ he ng st to ck ta or to be on be be ch n. he ta ch he as syste comp Two F-194 will a and t other from While vehic buildi comp em will be a petition. removable 4 in two key allow the pr tuned with r will allow the vehicle e the F-1 cle, the te ing the F-3 petition. an asset wh e tubes are y locations rimary CVT the engine the engine e. 94 is the eam is al 15; a brand hen tuning t e being utili . One remo T clutch to b e still in the e to be eas e current ready har d new car f 5 | P a g e the CVT fo ized on the ovable tube be removed e car. The ily removed competition rd at work for the 2016   e   r e e d e d n k 6
  • 54. Fall Sim the This 80F The and bein the and full t The early havi In a seni of m inclu syst whe This desi 2014 News ilar to the 13 inch w s vehicle wi I/CVT drive F-315 star fabrication ng notched space fram notching t throttle all s team is lo y next se ing a rolling addition to ior design t modeling udes an e tem used i en compone s will allow ign iteration sletter F-151, the wheel asse ll also utiliz etrain packa rted this se n of the jig and tacke me chassis. tubes for th semester a ooking to h mester to g chassis co the cars p team is do and valida entire outli n modeling ent designs w for future n with great F315 is an mbly and ze the Yama age. emester wit gs. 1.0” OD ed in the jig The proce he vehicle and nearing have this pr achieve o ome spring reviously m cumenting ating a ve ne map o g and a tim s should be e members ter efficienc n iteration o suspension aha Genes h the desig D tubes ar gs to creat ess of cuttin has been g completion rocess don our goal o . mentioned, the proces ehicle. Th of the filin me frame o e completed s to condu cy. of n. is gn re te ng in n. ne of a ss is ng of d. ct 6 | P a g e   e  
  • 55. Fall Elec The docu qual inclu harn refe into The also post trou A s inco This car. drive the syst acqu engi The and The requ elec insta 2014 News ctrical and electrica umentation lity and c udes a 2D ness in th renced to b the F-315. Genesis o being doc ted in the bleshooting enior desig orporate a C s system w The initial er display engine co tem could uisition sys ine data. team has building a brake lig uirements ctronic com alled in a 3D sletter Controls S al sub-tea to create consistency D AutoCAD he F-151. build the ne dynamome umented. A e dyno ce g. gn capston CAN bus s ill act as a goal of th which rece ntrol modu be ingra stem to c also been customized ght was d of the co ponents of D printed h Sub-Team am is w standards y. This do D layout of This harn ew wiring ha eter wiring A wiring dia ell to allow ne team is system into central net his will be t eives infor ule. In the atiated with collect all n working o d brake ligh designed to ompetition f the brake ousing. Update working o that ensur ocumentatio f the wirin ess will b arness goin harness agram will b w for eas s working t the vehicle twork for th to operate mation from e future, th h the dat vehicle an on designin ht for the ca o meet th rules. Th light will b on re on ng be ng is be sy to e. he a m is ta nd ng ar. he he be 7 | P a g e   e  
  • 56. Fall Com The rees as a betw reso With than busy not p New 194 surro repo also off fl Neg curr will side Patt cons low The cons 315 whe and 2014 News mposites S composit stablished a a branch of ween sub ources to t h a much n prior year y with proa previously d w this year i car. This ounding th ort an impo o optimizes low pattern gative mold ently being be a two-p e pod comp terns in G structed the cost. composit structing co cars, inclu eel, impact seat mold. sletter Sub-Team U tes team as its own s the chassi b-teams h the develo larger com rs, the com active work done on the is an aero d report det he car’s sh ortant addit placement s, like the r ds have g prepped to piece, carb ponents. A Grand Rapi e molds for es team omponents ding a new attenuato Updates this year sub-team af s team. Th has alloc opment of mplement o posites tea and under e team. design repo tails the ae hape. Not tion for com t of compo radiator. been mad o layup the on fiber bo special tha ds, MI as r us at an e has also for the F- w carbon fi or, anti-intr has bee fter one yea is distinctio ated mor composite of member am has bee rtaking task ort for our F erodynamic only is th mpetitions, nents base de and ar e body. Th ody with tw anks to Van s they hav exceptional been bus -194 and F iber steerin usion plate en ar on re s. rs en ks F- cs is it ed re is wo ns ve ly sy F- ng e, 8 | P a g e   e  
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  • 58. Fall Spo The Tha com Curr the s by a oper towe We team      2014 News onsor invol FSAE team nks to 3M, mfort, and qu rently, the same room adding cind rators from er, improve would like m members  Oshkosh  McLaren and com  Chrysler techniqu  Ford ho topics th  General solving. sletter lvement m has strive our team uality when Formula E m for their dy erblock wa the runnin d lighting, a to thank sp s. h employee n Performa mponent de r engineers ues/general osted an on hat much of Motors pr ed for a saf is sporting n welding. nterprise, C yno cells. T alls between ng engine. O and new th ponsors tha es held a te ance Techn sign. s hosted a l tuning tips nline webin f the power rovided sof fer and mor new weldi Clean Snow Thanks to t n each cell. Other impro rottle contro at have hos echnical sem ologies has an online w s. ar for seve train sub-te ft skill build re productiv ing helmets w Enterpris the efforts b . A new pro ovements i ol. sted informa minar on ca s been inst webinar aim eral SAE te eam was ab ding semin ve workspa s and glove se, and Su by Denso th otective bar include: op ation sessio ampus abou trumental in med toward eams that w ble to attend nars on pro ace with the es that will per Mileag hese cells h rrier was co timized cel ons and tec ut suspens n many asp ds engine were geare d. oject mana e help of ou l help incre e Enterpris have been onstructed ll layout, wa chnical sup ion design pects of en calibration ed towards agement an 10 | P a g e ur sponsors ease safety se all share made safe to separate ater cooling pport for ou and tuning ngine tuning and tuning s powertrain nd problem   e   s. y, e r e g r . g g n m
  • 59. Fall The Mich com We repr succ How Whe the foun desi emp http 2014 News support fro higan Tech mpetition an look forwar resent your cess in futu w Can You ether you a team, we a nd online ignating th ployee’s ://sites.goo sletter om all of o hnological U d achieve o rd to contin r company. ure competi Help? re a past m are always at https://w e money f contributio gle.com/sit ur sponsor University F our goal of nuing our pa We hope tions. member of t looking fo www.banw for the Fo n! Find e/michigan rs is greatly FSAE team shaping the artnership i to continu the team, a or more hel web.mtu.edu ormula SAE a cop techracing/ y appreciate m will conti e best engi in the futur e to utilize a long time p. You can u/mtu/mtf/g E Enterpris py of / and find u ed. With th nue to lear neers in ind re. Michiga e your assis sponsor, o n donate th ift/give.xsql se. Some this new us on Faceb he help of s rn and suc dustry. an Tech Fo stance to h or someone hrough the l?desig=73 companies wsletter book and Li sponsors li cceed in ou rmula SAE help our tea e with a new Michigan T 00-Annual- s will even on our inkedin! 11 | P a g e ike you, the ur efforts a E is proud to am achieve w interest in Tech Fund -Fund, and n match an website   e   e at o e n , d n e:
  • 60. 56 | P a g e OBJECTIVE 6: An ability to identify, formulate, and solve engineering problems. Objective six evidence Dynamics Forced Response Test Mechanical Engineering Lab James DeClerck Fall 2014 Description: This submittal is a MEEM 3000 lab report for the second lab in the dynamics section of the course. Lab one conducted an experiment on the free response of a single degree of freedom system. This lab focused on the response of a SDOF system with external force acting on it. My group and I were tasked to analyze a washing machine’s spin cycle with the imbalance of a load and determine an acceptable operating speed. Criterion Reached: In order to complete the assignment, the criterions of this objective were completed. To identify the problem, we first had to understand how a forced response SDOF acted. We did this by calibrating our instruments and running a pluck test on a surrogate system to find the parameters of the system. Using these I calculated the theoretical response of the system, and then tested the system at various outputs to confirm theoretical calculations. This was used to determine the proper spin cycle speed we were looking for.
  • 61. Mechanical Engineering Lab MEEM 3000 Dynamics Lab 2 Forced Response Submitted to Dr. James DeClerck TA: Ming Cheng Conducted: November 17, 2014 By. Dan Burg Lab Partners: Ethan Klaski, Jeremy Hoffman
  • 62. ABSTRACT The purpose of this experiment was to determine the safe operating spin speed for a new washing machine, and determine and recommended changes to the system to improve the displacement. The maximum displacement the machine can experience during operation is 5 mm. A surrogate washing machine was set up to measure the acceleration of an unbalanced mass. A pluck test was first conducted to determine the system parameters. With the system parameters found the accelerance and compliance plots for the system were made. Then the unbalanced motor was turned on and recorded acceleration at varying frequencies. This allowed for an accurate displacement at varying frequency plot to be made and examined. It was found that operating speeds near resonance peaked passed the 5 mm maximum. It was found that the undamped system operated under the max displacement when the forcing frequency was less than 498 RPM or more than 641 RPM. A damper was added to the system and all the tests were repeated. The system could now operate below 534 or above 546 RPM and still not exceed max displacement. It was determined that an addition of mass or reduction in stiffness would reduce the displacement experienced by the system. BACKGROUND AND OBJECTIVE(S) The purpose of this experiment was to examine the specification spin speed range for a new model washing machine. The objective was to find the recommendations for changes to the mass and stiffness that would increase the acceptable range. The max displacement of the due to the imbalanced force must not exceed 5 mm for the new machines. To find the system parameters a pluck test was conducted. From this test, equations 1.1 and 1.2 were used to find the damped frequency (𝜔𝜔𝑑𝑑) and the damping ratio (𝜁𝜁). Log dec was used to find the damping ratio knowing the cycles (n) and the change in displacement. The damped frequency was found knowing the time (T) for one period. 𝜁𝜁 = 1 2𝜋𝜋𝜋𝜋 ln( 𝑥𝑥0 𝑥𝑥𝑛𝑛 ) 1.1 𝜔𝜔𝑑𝑑 = 2𝜋𝜋 𝑇𝑇 1.2 The natural frequency (𝜔𝜔𝑛𝑛) was determined using the damped frequency and damping ratio. 𝜔𝜔𝑑𝑑 = 𝜔𝜔𝑛𝑛�1 − 𝜁𝜁2 1.3 The natural frequency was then used in equation 1.4 to find the systems stiffness (K) and mass (m). The damping (c) is then found using equation 1.5. 𝜔𝜔𝑛𝑛 = � 𝑘𝑘 𝑚𝑚 1.4 𝜁𝜁 = 𝐶𝐶 2√𝑘𝑘𝑘𝑘 1.5 Knowing the system parameters, the force due to imbalance (F) is found using equation 1.6 and knowing the unbalanced mass (m), the eccentricity of the mass (e) and the frequency (𝜔𝜔). 1
  • 63. 𝐹𝐹 = 𝑚𝑚𝑚𝑚𝜔𝜔2 1.6 The following equation are then plotted with the known parameters vs frequency to find the compliance and accelerance of the system. 𝑋𝑋(𝜔𝜔) 𝐹𝐹(𝜔𝜔) = 1 𝑘𝑘−𝜔𝜔2 𝑚𝑚+𝑗𝑗𝑗𝑗𝑗𝑗 1.7 𝑋𝑋̈(𝜔𝜔) 𝐹𝐹(𝜔𝜔) = 𝜔𝜔2 𝑘𝑘−𝜔𝜔2 𝑚𝑚+𝑗𝑗𝑗𝑗𝑗𝑗 1.8 APPARATUS For this experiment a test stand was used to represent the washing machine. The imbalance in the washing machine was measured using an accelerometer. A known mass was used during a pluck test to confirm the system parameters. A voltage supply was used to control the RPM imbalance of the system. The DAQ system schematic of how the data was collected is shown in the figure below. Washer Accelerometer NI Module 9234 NI Chassis Computer Figure 1: Block diagram of how acceleration was recorded EXPERIMENTAL PROCEDURES 1. Open the MEEM 3000 labview daq config.vi file and ensure that one channel is turned on. 2. Run the MEEM 3000 labviw Dyn Scope.vi file and set the following parameters a. Sample Rate at 500 b. Period to 1 c. Bits to 16 d. Range to auto scale e. Low Pass Filter to 30 Hz 3. Calibrate the accelerometer with the one gee calibrated shaker as previously completed in Lab 1. 4. Measure the free vibration of the washing machine by performing a pluck test to determine the mass, stiffness and damping of the system. 5. Measure the free response of the system with a known mass added to validate the parameters determined in step 4. 6. Produce an overlay plot of the measured and theoretical displacement of the washing machine. 7. Attach a damper to the system and recalculate the mass, stiffness and damping. 8. Using the provided MASTECH DC power supply provide the washer motor with an output voltage of 3.0 V and collect a data sample that includes 10-20 peaks. 9. Repeat step 8 with the following output voltages: 3.6, 4.2, 4.8, 5.4, and 6.0 volts. 10. Remove the damper from the washing machine and repeat step 10 to determine the baseline 2
  • 64. for the washing machine. MEASUREMENT/DATA SUMMARY The initial measurements included the acceleration from the pluck test of the system. This test was conducted twice, one as a baseline for the system and the other with a change in mass to confirm the findings. The unbalanced mass was removed for the second test. This allowed for the system parameters of mass, stiffness, and damping to be determined. The figure below shows both tests plotted. Figure 2: free response of the system It is apparent that the change in mass was not significant, but there was a slight change in frequency which will still allow for substitutions in the calculations to be made. The next test conducted measured the acceleration due the imbalance of the washing machine. A mass of 0.022 kg with an eccentricity of 0.0076 m was turned at varying frequencies to find its impact on the displacement of the system. The figure below shows the plot of the system with 3 volts turning the unbalanced mass. Figure 3: Steady state response of the system with 3 volts. -40 -20 0 20 40 0.25 0.45 0.65 0.85 1.05 1.25 1.45 1.65 1.85 Acceleration(m/s^2) Time (s) Pluck test Original system Mass Removed -6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 3 volt w/ damper 3
  • 65. As expected, the system reached a sinusoidal acceleration at steady state. This test was conducted with and without a damper for the following output voltage settings; 3.0, 3.6, 4.2, 4.8, 5.4 and 6.0 volts, changing the frequency. The additional test plots can be found in the Appendix. INTERPRETATION AND ANALYSIS The initial pluck test allowed the system parameters to be determined. These values were then confirmed by adding a known mass and using a theoretical overlay plot. The values for the system parameters are shown in the table below. Detailed calculations can be found in the appendix. Table 1: Calculated system parameters Parameters Values Mass [kg] .495 Stiffness [N/m] 1530.22 Damping [Ns/m] 1.32 Damping ratio .024 Natural frequency [rad/s] 55.60 Using equations 1.6 through 1.7 and the calculated parameters, the accelerance and compliance for the undamped system was calculated and plotted against frequency. Tests were conducted by rotating the unbalanced mass at various frequencies and measuring the acceleration. The acceleration was divided by the force and overlaid on the accelerance plot. The displacement was divided by the force and overlaid on the compliance plot. These were plotted in the figures below. These calculations were completed in excel but sample calculations can be found in the appendix. Figure 4: Theoretical and measured accelerance of the undamped system 0.001 0.01 0.1 1 10 100 1000 0 5 10 15 20 25 Accelerance(1/kg) Frequency (Hz) Accelerance vs frequency without damper Theoretical Experimental 4
  • 66. Figure 5: Theoretical and measured compliance of the undamped system As shown from the plots, the experimental results are extremely close to the theoretical curves. This gives confirmation that the experiment was ran correctly and the parameters were calculated correctly. This allowed for an accurate estimate of the spin speed range. To find the spin speed range that corresponds with the max displacement, the undamped displacement curve was plotted using the system parameters. This was done by multiplying the compliance by the force. A maximum displacement line at 5 mm was overlaid to find the spin speed range. Figure 6: Displacement curve of the undamped system. As seen in the plot, the displacement exceeds the maximum allowable at resonance. The spin speed range would need to be outside 8.79 to 10.68 Hz or 498-641 RPM with the way the system is designed right now. To ensure the resonance peak does not pass the 5 mm max displacement, an increase in mass or stiffness should be considered. A damper was added to the system to investigate how it could change the displacement. To do this the same pluck experiment was conducted to find the new parameters, but keeping mass and 0.00001 0.0001 0.001 0.01 0.1 1 0 5 10 15 20 25 Compliance(m/N) Frequency (Hz) Compliance vs frequency without damper Theoretical Experimental 0.00001 0.0001 0.001 0.01 0.1 1 0 5 10 15 20 25 Displacement(m) Frequency (Hz) Undamped displcement Displacement Max displancement 5
  • 67. stiffness constant. The damped pluck test and new parameters can be found in the appendix. The repetition of the previous undamped system is shown in the following plots. Figure 7: Theoretical and measured accelerance of the damped system Figure 8: Theoretical and measured compliance of the damped system The experimental data does not match as close to the original data, but still follows the trend as expected. This could be because the damper increases internal stiffness and mass in the system. The displacement curve is plotted the same way as before to find the spin speed range for the new system. 0.001 0.01 0.1 1 10 100 1000 0 5 10 15 20 25 Accelrance(1/Kg) Frequency (Hz) Accelerance vs frequency with damper Theoretical Experimental 0.00001 0.0001 0.001 0.01 0.1 1 0 5 10 15 20 25 Compliance(m/N) Frequency (Hz) Compliance vs frequency with damper Theoretical Experimental 6
  • 68. Figure 9: Displacement curve of the damped system. As seen in the plot, the displacement still spikes a little passed the maximum at resonance but is severely less than before. The new range is smaller than before rendering the damper having a positive effect on displacement. The new operating range now only excludes 8.9 to 9.1 Hz or 534 to 546 RPM. The same actions as before could improve the displacement or an addition of more damping could limit the displacement to under 5 mm. CONCLUSIONS Initial measurements of a pluck test on a surrogate washing machine was conducted to find the system parameters. The mass, damping, and stiffness were found. The frequency of the imbalance mass was changed and acceleration was measured for an undamped system. From this the acclerance and compliance were made vs the change in frequency. This allowed for the displacement plot for the system to be made and examined to determine is changes to the parameters need to be made. It was found that the undamped system operated under the max displacement when the forcing frequency was less than 498 RPM or more than 641 RPM. A suggested addition of mass and or decrease stiffness will lower the amount of displacement the system will experience when near resonance. A damper was then added to the system and the test was conducted again. It was found that the increase in damping reduced the amount displacement in the system but still exceeded max near resonance. The system could now operate below 534 or above 546 RPM. The same suggestions as before could be made to reduce the displacement. 0.00001 0.0001 0.001 0.01 0.1 1 10 0 5 10 15 20 25 Displacement(m) Frequency (Hz) Damped displacement Theoretical Max Displacement 7
  • 69. REFERENCES [1] M. T. University, "Dynamic Systems Lecture 2," Forced Response, 2014. 8
  • 70. APPENDIX A) Imbalance plots with no damper -8 -6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 3 volt no damper -8 -6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 3.6 volt no damper -8 -6 -4 -2 0 2 4 6 8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 4.2 volt no damper 9
  • 71. -10 -8 -6 -4 -2 0 2 4 6 8 10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 4.8 volt no damper -15 -10 -5 0 5 10 15 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 5.4 volt no damper -15 -10 -5 0 5 10 15 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 6 volt no damper 10
  • 72. B) Imbalance plots with damper 4.37533497 3.81716466 -6 -4 -2 0 2 4 6 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 3 volt w/ damper -10 -5 0 5 10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 3.6 volt w/ damper -8 -6 -4 -2 0 2 4 6 8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 4.2 volt w/ damper 11
  • 73. -10 -5 0 5 10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 4.8 volt w/ damper -15 -10 -5 0 5 10 15 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 5.4 volt w/ damper -15 -10 -5 0 5 10 15 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Acceleration(m/s^2) Time (s) 6 volt w/ damper 12
  • 75. D) Pluck test for damped system -40 -30 -20 -10 0 10 20 30 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 Acceleration(m/s^2) Time (s) Acceleration for damped system 14
  • 76. 72 | P a g e OBJECTIVE 7: Understand and appreciate professional and ethical responsibilities. Objective seven evidence Order of the Engineer Dr. William Predebon Spring 2015 Description: This submittal is the certificate from an event at the culmination of my engineering career. The order of the engineer event was a banquet for graduating Mechanical Engineering seniors to be inducted into the Order. At the event there were awards given out to students and teacher who exemplified the department and the mechanical engineering profession. Criterion Reached: This certificate shows that I take the responsibility of being an engineer seriously and understand the integrity that is needed to hold up the profession. There were faculty and professional speakers that helped us reflect on the obligation we have in society. This certificate is my commitment to act with integrity in all my engineering ventures.
  • 77.
  • 78. 74 | P a g e OBJECTIVE 8: An ability to communicate effectively. Objective eight evidence MacLean-Fogg Fastening Challenge Formula SAE Enterprise James DeClerck Spring 2015 Description: The submittal is a submission to a third party side-competition at the annual Formula SAE Michigan competition. The competition was put on by MacLean- Fogg, a world renowned fastener manufacturer. They asked competitors to submit a presentation in whatever media necessary to communicate a problem that was solved using a unique fastener solution. This is the presentation I created for the Michigan Tech FSAE team that won first place for the MacLean-Fogg Fastening Challenge. It is worth noting I was not involved in the actual project this presentation is about, that was the work a senior design team in 2014, but rather I made a presentation of their work. To do this I had to understand what they did by reading their reports and dissecting the project on the car and presenting it clearly. Criterion Reached: This submittal covers the criteria by showing that I have the ability to communicate complex ideas and projects in an organized, logical, and aesthetically pleasing manner. I have the capacity to present information familiar and unfamiliar to me in a rationale and comprehensive way for all viewers to understand.
  • 80. THE PROBLEM • 2015 car implements a Continuously Variable Transmission (CVT) into existing space frame chassis design. • Engine placement restricts packaging options for the CVT’s primary clutch • Removal of primary clutch is not possible with current frame design due to a tube interference • Removal of the clutch is needed for general maintenance/inspection and ease of engine removal • The removal of the clutch is required to install custom flyweights for different dynamic events Fig 1: Iso view of left rear quarter of model Fig 2: Top view of model Primary clutch Engine Primary clutch Engine Interference tube
  • 81. THE SOLUTION • Create a removable tube section to allow for easy removal of the primary clutch • Allows clutch to be pulled directly off of the output shaft • Tube-end inserts were designed using: • A “ruffle chip” connection • 3/8” bolts fasten both sides through a tapped hole Fig 4: Ruffle chip tube insert design Fig 3: Assembled ruffle chip tube inserts
  • 82. THE SOLUTION Fig 5: Primary clutch in relation to engine and removable tube (view: front looking back) Engine Ruffle Chip Tube inserts Primary clutch Removable Tube Additional Final Assembly Pictures Fig 6: Side view of final removable tube and primary clutch Removable Tube Primary clutch Ruffle Chip Tube inserts
  • 83. VALIDATION • A tensile test was conducted to ensure structural equivalency when compared with standard fixed tube. • As expected, failure occurred at the stress concentrator of the ruffle chip valleys and in line with the bolt hole • The inserts failed with a 1.5 safety factor above the required force per the rules proving equivalent performance Fig 7: Inserts force-displacement curve Fig 8: Failed insert
  • 84. LESSONS LEARNED • Creative use of fasteners can add modularity to previously fixed components while attaining superior performance • Fasteners should be utilized to ease maintenance and assembly/disassembly • Fasteners can make tightly packaged components accessible. • Correct fastener use decreases the complexity of advanced assemblies
  • 85. THANK YOU! Contact: Dan Burg, Business Team Lead dburg@mtu.edu (651) 707-4182 Involved Members: Karl Evenson, President Alex Wells, Chief Engineer Kyle Ekstrum, Team Member Cody Kippenhan, Team Member Jordan Tobey, Team Member Craig Thole, Team Member
  • 86. 82 | P a g e OBJECTIVE 9: The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context. Objective nine evidence Urban Farming Paper Global Issues Dr. Ryan Cook Fall 2013 Description: This submittal is a paper I wrote about urban farming for an opinion editorial for my Global Issues class. I was assigned to create an argument on a global trend and provide cited evidence to back my claim. This is a five paragraph MLA format paper. Criterion Reached: Even though I had studied abroad at my community college, those courses didn’t transfer as my Global Issues credit. So, my first semester at Tech, I took this class. I was not too upset because I enjoyed the class and looking into anthropology and modern issues. I chose urban farming because of the benefits I see over the current land use model. I used my two years of engineering schooling to dissect urban farming and how it is impacting society.
  • 87. Dan Burg Global Issues UN1025 Ryan Cook 12/12/13 Realities of Urban Farming. Agriculture is the one innovation that has allowed humans to settle in cities and still provide food for the growing populous. Agriculture has always been located near the population hubs due to the ease of providing the goods. In the past century, agriculture has be strategically separated from the urban areas in the attempt to maximize production. Today, a grass root movement promoting the return of urban agriculture is happening in cities around the world. Some believe this new occurrence of urban farming is imposing on other urban development plans. In this paper, I will explain why I think urban agriculture is appearing, why it will continue, and what global reasons may be the cause for this. Prior to the industrial revolution, agriculture was a central focus of urban economies simply because the food source needed to be nearby for the city to survive (Hodgson 2011). The new technologies and ease of transportation that came with globalization allowed for farms to be larger and farther away from population centers. This provided yields unseen before and allowed the world’s population to grow exponentially. This brings up the question, why is urban agriculture now being considered again as a means of production? I believe this is because urban residents see the benefits of farming increasing the vitality of the city. Urban agriculture can offer health, environmental and economic advantages that make it an appealing movement (Hendrickson 2012). Urban farming can produce the following benefits. It provides healthy, cheap produce to the local community. Also, the act of farming in an urban environment limits
  • 88. the use of large machinery, requiring exercise for those involved. It helps reduce the pollution created by a monoculture system that has to use large machinery to harvest and transport their crops long distances. Plants also naturally reduce carbon dioxide that is concentrated in city centers producing cleaner air. The economic impact is the most disputed benefit to urban agriculture. Urban agriculture has always flourished in economic crisis because it is recession proof industry but will this recent movement disappear in a strong future economy. Does urban farming give a continuous economic boost in the long term? I think agriculture will continue to rise in urban centers regardless of extenuating circumstances. The argument that the land could be used for other urban development is becoming invalid as more innovative ways to integrate urban farming with old and new development is discovered. Green roofs are a great example of how this is expanding. Green roofs have been around for centuries (Whittinghill 2012), but the integration they have now with a modern urban buildings and infrastructure is now relevant. Green roofs have shown to be benefits to city buildings because their ability to manage storm water, conserve energy and reduce urban heating by providing insulation to the buildings, increase urban biodiversity by providing habitat for wildlife, and provide space for urban agriculture, along with others (Rowe 2013). All of these benefits will happen indefinitely if kept up. According to the video clip about Adolfo the farmer, a variety of crops provides longevity to the soil allowing this process to continue forever. Urban farms are smaller and provide more variety creating an overall better environment. So what global events and processes caused the tipping point that will keep urban farming from going anywhere? Immanuel Wallerstein points out a world system that essentially says commodities are produced a far distance from their eventual consumption. I believe people
  • 89. realize that this world system theory cannot apply to food production. Agricultural products are perishable by nature and it takes a lot of energy and effort to use a system like the world system theory in this case. It makes more sense to have these limited time commodities near the final market. A consequence of globalization is a disconnectedness to the origins of products people consume. I think people can overlook this when it comes to nonessential products, but when it comes to food, people like knowing where it comes from. Urban agriculture provides socio- cultural significance and reconnect consumers with their food and the environment (Cambridge 2010) which has been lost many places due to globalization. Urban populations benefit with a healthier diet, environment, and economy when urban agriculture is implemented into development. They are provided with cheap, fresh produce, and a city spotted with green areas. Urban farms conserve energy and reduce urban heating making the city cheaper and more livable. Growing in an urban setting provides a sense of community which is being lost in a globalized world. The urban community become more connected to the environment. More integration of urban agriculture with old and new development will barrage the ever more populated cities with benefits for many years to come.
  • 90. References To find my argument, I needed to find sources that asked the question of why this was happening and get a different perspectives. I also wanted to know where this is occurring and what demographics exists there. This helps me understand more about possible reasons why this is happening. I then looked for sources that pointed out benefits and problems with urban farming to determine if it will continue. This lead to my argument that urban farming is the way of the future and is a necessity for the vitality of cities around the world. Cambridge J Regions. (2010) Why farm the city? Theorizing urban agriculture through a lens of metabolic rift. 3 (2): 191-207.doi: 10.1093/cjres/rsq005 http://cjres.oxfordjournals.org/content/3/2/191.full#content-block I found this article by searching google scholar for the subject. This article explains the theoretical benefits to urban farming and causes for it happening. This is a peer reviewed article and the author is in the Department of Geography at the University of California, Berkeley. This was published in 2009. Hendrickson Mary K. Porth M. (2012) Urban Agriculture — Best Practices and Possibilities http://5728452006d458e3e74c- 2f6bef8b2d7e04086879310a43d837d9.r29.cf1.rackcdn.com/Report_UrbanAg_USDN_Oct2012. pdf I found this article by googling the subject. The purpose of this paper is to inform the state of Missouri what works best when it comes to urban agriculture. This report was put together by the urban sustainability directors, and was conducted by a university of Missouri extension. This was a report written in 2012.
  • 91. Hodgson, K., Campbell, M. C., & Bailkey, M. (2011). What is urban agriculture? Planning Advisory Service Report, (563), 9-34. Retrieved from http://search.proquest.com/docview/860137217?accountid=28041 I found this source on the database ProQuest by searching “what is urban agriculture.” The purpose of this article is to inform the reader of the past, present and future of urban farming. It also provides strategies used to improve modern urban farms. This article was written as a planning advisory service report for the department of agriculture. It was published in 2011 making it very timely to the subject. Wallerstein, I. (2010). The modern World-System: theoretical reprise. This was an article read in class. The purpose of the article was to explain a theoretical system of how the world operates. There is not much information on the author, it is only known to be published in 2010. Whittinghill, L. J., & Rowe, D. B. (2012). The role of green roof technology in urban agriculture. Renewable Agriculture and Food Systems, 27(4), 314-322. doi:http://dx.doi.org/10.1017/S174217051100038X I found this article by researching green roofs on the database Proquest. The purpose of this article is to give both the pros and cons of urban agriculture and point out the ability of green roofs to fit in. The author works at the Department of Horticulture at Michigan State University and this is a peer reviewed article making this a strong authority. This article was published in 2012 making it recent. Green.tv (2013) ADOLFO THE FARMER PRESERVES BIODIVERSITY http://on.aol.com/video/adolfo-the-farmer-preserves-biodiversity-517826187
  • 92. This was a video watched in class. The purpose of this video was to show how a small time farmer can have a more reliable crops by keeping a variety of species. The author is unknown, only the website is originally was found. This was first posted in 2013. Rowe, Brad (2013). Green Roof Research. Michigan State University Board of Trustees. http://www.hrt.msu.edu/greenroof/index.html This source was found by googling green roofs. The purpose of this website is to provide the information found in the research of Michigan State on green roofs available to the public. This is not published work but is an ongoing research project by 7 professors at Michigan State University. The assignment started in 2000 but has continued to this day. This source is relatively reliable because it is information presented of university research but is susceptible to change because it is not published.
  • 93. 92 | P a g e OBJECTIVE 10: Display recognition of the need for, and an ability to engage in life-long learning. Objective ten evidence Personal Action Plan 7 Habits of Highly Effective People Mary Raber Spring 2015 Description: This submittal is the conclusion to the 7 Habits of Highly Effective People enterprise module. This paper is both a reflection of my abilities of the habits and my actions I will take to continue to be a more effective person. It is directed at my post grad life. Criterion Reached: The reason I chose this paper is because it lays out a continued plan of action I am doing after graduation. I think continued learning is a staple of any profession, but with the rate things change in engineering it takes more effort. It takes a plan of action to know what is needed to stay at the cutting edge an. This paper is a self- evaluation and presents actions I will take to continue learning.
  • 94. Dan Burg 7 Habits 4/20/15 Personal Action Plan After taking the personal assessment provided, I believe it is very accurate for what habits I am strong and which ones I am working to improve. An important thing I noticed while taking this class was the habits I was inherently doing in my life but did not realize it. But that being said, I also noticed habits that would improve my life balance and productiveness. My strongest habit I noticed was my ability to synergize with people and work with people to collectively gain together. Habits 4 and 6 were my strongest, and I can definitely see that now that I know it is considered a habit. This has been something I have felt strongly about for a long time but never connected it to a habit or something I was actively doing. I attribute this to how I was raised and the values my parents instilled in me. I frequently consider how others will feel or the outcomes of my actions have on them. This is why I am already strong in habits 4 and 6 and in the public victory in general. I believe this is why I have held various leadership roles and have a lot of friends. I think considerate and compassionate behavior is a extremely important character attribute, and one that I think is missing from many people's outlook. I apply public victory habits and specifically habit 4 all the time when I am coaching in the engineering learning center. When I am coaching, I am very focused on ensuring the student, along with myself gain the most out of the session. I want them to learn as much about the technical skills and problem solving as I can teach them, but I also gain a lot about explaining myself and thinking about problems differently. It is rare that the first time I explain a problem, the student understands it completely, so I have to think about how another way to look at the problem to correctly solve them. This usually results in both me and the student growing from solving the problem. Typically, the outcome is very positive, and both the student and myself feel more confident about the school work and engineering as a profession. I find it very rewarding to pass the knowledge I have learned from the hard work I have put in to students who have chosen the same path. This experience has made me aware of the potential for me to come back to academia after a few years in industry. I am working towards building my weaker habits up as well. Two habits I am extremely trying to build are habit 2 and 3, and not surprisingly I ranked them the worst during my personal assessment. I have been aware of these weaknesses for a while, but this course has gotten me to start seriously think about how we can change them. These have been very difficult to change during this semester because I have been very busy and with the lack of preparation and poor habits for how to deal with a lot of work in place, it is hard to change. There were a few times when I really buckled down to start important tasks early and know what I wanted to do. But as was discussed, habits are easy to make but hard to break and I would slowly slip back to procrastination. As the semester ends and I make plans and look forward to starting my career I plan to focus on my private victory habits. These are not only the weakest habits I have but I think will the most beneficial I can make for myself to live happily. As the program states that we must conquer private
  • 95. victory before moving on, I want to work on those. Although I think I have a good grasp on public victory habits, he states that in order to have a fulfilling life the private victory has to be a priority. In the next 30 days as I transition from a college student to a professional, I want to work on habit 3 and start putting first things first. This will help me put things in perspective and I feel like that is the most important to have a successful career. This habit will also help me have an ideal work life balance. Putting first things first is a strong desire for me because I struggle with doing the things I love because I didn't finish the small things that I don't enjoy. During college there is always an end date that can be worked towards but then a fresh start is right around the corner with a new semester or summer. As I transition to a full time employee, I have to stay on top of things because if they pile up there is no end of semester that provides a fresh start. I have started writing down what activities and things I find most enjoyable in life and I know what I want to work towards, and this will help me know what to put first in my life. I will seek guidance from my parents that have always been champions of what is important in life. I know I am a hard worker, and dedicate a lot of time to things I am passionate about, and improving myself is one of those things. This course has giving me direction and provided definition to habits I have been working towards, but just could pinpoint what I needed to change. I know that if I want to change what I put first I will have to utilize organization tools and have a more structured life. Although I strive off new experiences, I think I can still plan things while being spontaneous. I have been working since my first year in college to break some of these habits but they have been lingering as I have not known or had the skills to break them. I now know I have time and drive to change these before I start my career. I know I can start this over the summer because I have a lot of time off before I start and am planning a road trip by myself to work on self-improvement and to get in touch with myself. This will give me time to work on putting important things in life first and making sure I have things lined up when I start my job. I will have a fresh start with my new job. A new location, new friends, and new hobbies I plan to start, and I also plan to live life to fullest by prioritizing the things in my life. Putting first things first is a the start of living this life. Work-life balance is something I find extremely important, and I am concerned with how a lot of American Society does not prioritize it like I think it should be. I think my job has a good atmosphere that ensures its employees are not overworked. But I think I can make sure of this if I put first things first.
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  • 99. 95 | P a g e OBJECTIVE 11: A knowledge of contemporary issues. Objective eleven evidence 2015 Post-grad summer road trip Independent Summer 2015 Description: This submittal is unique compared to the others being that it didn’t take place in a class room setting, or associated with Michigan Tech at all. This is a slide show of my 6 week road trip between graduation and my start date at my job. When I accepted my position with the US Navy, I was given a start date of July 27th . This was perfect for me because of my desire to complete extended trip after graduation. I decided a road trip from the Twin Cities through the Southwest, up to the Pacific Northwest and back would be the most reasonable. I like showing off pictures and talking about my trip. Criterion Reached: The reason I chose this as my submittal for this objective is because it shows my desire, and how I am actively searching to understand the world around me. I think in order to actually understand contemporary issues, you have to be exposed to them and seek diverse information about them. This trip was as much about visiting the natural wonders of the world through hiking and biking as it was about meeting people, hearing their stories and experiencing life around the US of A.