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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4832
DESIGN AND ANALYSIS OF 3-AXIS SCARA ROBOT TO SUSTAIN 60 N-m
TORQUE BY NUTRUNNER
VARAD AVCHAT1, RASIKA KALE2, JATEEN KODAM3, RUSHABH KOKATE4
1,2,3,4Student, Dept. of Mechanical Engineering, P.E.S’s Modern College of Engineering, Pune, Maharashtra, India
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract – This paper focuses on design and analysis of 3-
Axis SCARA Manipulator to sustain 60 N-m Torque Tooling.
Nowadays the use of robots on production lines has increased
to reduce the production time and increase the productivity.
As we go for more specialized robotic machining operations,
the cost of robot increases. The basic objective is to design low
cost and compact robotic arm which will handle Electric
Nutrunner imposing 60 N-m torque during operation. The
SCARA robot can be used in various tooling applications like
screw driver, Nutrunner, riveting machines etc. The main
advantage is that the robot is designed to operate by Servo
motors so it is light weight as compared to hydraulic and
pneumatic actuation.
Key Words: SCARA ROBOT, KINEMATICS OF SCARA
ROBOT, INVERSE KINEMATICS, STRUCTURALANALYSIS.
1. INTRODUCTION
The robotic arms used forassemblyandproductionoperations
help to reduce errors and human effort with more production
rate. The main feature of SCARA configuration is high speed,
less maintenance, high repeatability and robust in design.
SCARA ROBOTS are mostly used for pick and place operations
but we have designed it for machining operations. SCARA
stands for Selective Compliance Assembly Robot Arm which
has 3-Dof with one linear motion and two rotational motions.
This case study is concern with design ofSCARARobotwhichis
servo motor driven. Configuration used for SCARA Robot is
PRR configuration. It is difficult to provide prismatic joint for
tooling as tool is very heavy for linear motion in vertical
direction .Hence ball screw is used to provide vertical motion.
The desired height for operation can be achievedwiththehelp
of ball screw for nut running operation. The servo motor with
reducer controls the linear and rotational motionoftherobot.
Ball screw is used to achieve the linear motion. Thispaperalso
describes the calculations of link lengthsandforcesonjointsof
robotic arm. The structural analysis is performed on the links
to validate and improve the design.
2. LITERATURE REVIEW
1. Design, Manufacturing and analysis of Robotic Arm with
SCARA Configuration by Kaushik Phasale, Praveen Kumar,
Akshay Raut, Ravi ranjan Singh, Amit Nichat.
This paper deals with design of 4-Axis SCARA Robot. The
analysis is also performed in Ansys. For experimental setup,
the robot with cardboard material is made by author. The
experimental model is used to analyzethelocationofmotors,
length of links and its movements. The designing of robotic
arm is done in creo software. The animation is done with
various constraints in the software. This research study also
includes the manufacturing and assemblyprocessesofrobot.
2. Modeling, Simulation And Analysis of SCARA Robot for
Deburring of circular components by PVS Subhashini, N.V.S
Raju and G. Venkata Rao.
This research study describes the study of SCARA Robot for
deburring operation of circular profiles. The SCARA Robot
with four degrees of freedom is modeled in CAD Software.
The Kinematics of Robot is also explained in simplest way.
The results of joint positions and joint velocities calculated
from CAD Software are compared with resultsobtainedfrom
MATLAB. The mathematical modeling and its results in
MATLAB is best explained through this paper.
3. Design and Fabrication of SCARA Robot with 5 Degrees of
Freedom by Banoth Bhadru, D. Narendar, B. Kiran.
This paper deals with design and fabrication of SCARARobot
of 5 degrees of Freedom which is driven by stepper motor
and servo motor. The authorhasdevelopedanewwaytogive
motions in 5- Axis with the help of stepper and servo motors.
Arm motion isachieved usingservo motorswhiletheinverse
kinematics algorithm is implemented by using stepper
motors for position control. Author has given details of
fabrication of robot in this paper. The paper also describes
the programming of robot with the help of microcontroller.
4. Modelling and Analysis of Robotic Arm using Ansys by
Jeevan, Dr. Amar Nageshwar Rao.
This paper deals with study of different cross-sections of
robotic arm and its analysis in ansys. The cross-sections
considered are hollow square, Solid Square, hollow circular
and solid circular. All four different cross-sections are
designed in CAD software. The results of stress and
deformation are compared and conclusion is derived. The
deformation is less in hollow square link cross-section and
the stresses are less in hollow circular cross-section.
5. Kinematic Analysis of Various Robot Configurations by
GameR.U. , Davkhare A.A. , Pakhale S.S.,EkhandeS.B.,Shinde
V.B.
This paper deals with study of forward and inverse
kinematics of robotmanipulators.Variousmodelssuchas2R,
3R, 3R-1P, 5R, 6R are used by author to study D-H
parameters of directandinversekinematics.Theauthorused
roboanalyzer and MATLAB software to obtain results of
inverse and direct kinematics. The author compared the
results obtained from roboanalyzer and MATLAB along with
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4833
algebraic method. This researchstudyconcludesthatinverse
kinematicanalysisiscomplexandchallengingascomparedto
forward kinematics. Forwardkinematicanalysisofanyrobot
configuration is easy to calculate joint angles along with
positions. The study aims to analyze the results of inverse
kinematics in roboanalyzer, MATLAB and algebraic method.
3. PROBLEM STATEMENT
To design 3-Dof SCARA Robot for workspace dimensions of
1200×500 mm. The objectiveistodesignaroboticarmwhich
will sustain 60 N-m tooling torque at the end of gripper.
4. METHODOLOGY
Fig-1: Methodology Flow for design and analysis
5. ANALYTICAL CALCULATIONS
5.1 WORKSPACE DEFINITION OF SCARA ROBOT
The SCARA Robot is designed for 1200×500 mm
workspace dimension. The assumptions made are: SCARA
Robot is placed between center of workspace and it is kept
away by 100 mm distance from the workspace.
Fig-2: Predefined workspace for SCARA robot
First of all the lengths of the links are optimized by drawing
a line diagram analytically and tracing it over the workspace
for maximum and minimum distancecoverage. Thelengthof
links 2 and 3 should be such that tool covers every point on
the work-piece.
By using this method the when second and third links are
fully outstretched, the total length of links can also be
calculated analytically using Pythagoras Theorem,
i.e.: addition of lengths of 2 links outstretched
(6002 +6002)1/2 = 848.5281 mm
6. KINEMATICS OF SCARA ROBOT
Denavit and Hartenberg (DH) proposed a systematic
notation for assigning right handed orthogonal frames, one
to each link in an open kinematic chain of links.Oncethelink
is attached coordinate frames are assigned, transformations
between adjacent coordinate framesthatcanberepresented
by 4X4 homogeneoustransformationmatrix.Followingisthe
description of DH parameters of SCARA Robot:
Table-1: Description parameters of DH Method
Table-2: DH Parameter Table for SCARA Robot
There are two types of Kinematics methods:
1. Forward Kinematics
2. Inverse Kinematics
As we know the workspace dimensions i.e. we know the end
effector positions. Hence we know the link lengths but not
joint angles. To determine the joint angles we have used
Inverse Kinematics method.
6.1. INVERSE KINEMATICS
 Inverse Kinematics means using kinematics
equations of robot for determining the joint angles
from known values of end effector positions. For
determining the joint angles considerthe motionof
two links with revolute joint from given below
diagram.
Arm Parameter Symbol Revolute Joint Prismatic joint
Joint Angle Θ Variable Fixed
Joint Distance D Fixed Variable
Link Length A Fixed Fixed
Link Twist
Angle
α Fixed Fixed
Link αi ai di θi
1 0 l1 q1 0
2 π l2 0 q2
3 π l3 0 q3
500
1200
100
600
ROUGH DESIGNING AND
MODELING ON PAPER.
ASSEMBLY AND STUDY
OF WORKING USING
SOLIDEDGE
ANALYSIS USING ANSYS
SOFTWARE
ACTUAL DESIGNING OF
DIFFERENT PARTS USING
SOLIDEDGE
CALCULATION OF LINK
LENGTHS, JOINT ANGLES
AND EXPECTED FORCES
MODIFICATIONS IF ANY
REQUIRED FOR
IMPROVEMENT
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4834
 Initially the position of link is assumed at (0,600) :
(x, y). The joint angles at this position are:
L1= Link 1 and L2= Link 2
x=0 and y= 600 (all dimensions are in mm)
θ1= joint angle moved by link 1
θ2= joint angle moved by link 2
Cos θ2 = (x2+y2-L12-L22) / (2*L1*L2)
Tanθ1=[y(L1+L2*cosθ2)– x*L2*sin θ2]/[x (L1+L2*cosθ2)
+ y*L2*sin θ2]
Calculations lead us to the initial angular positions of links
as,
θ1 = 44.90 and θ2 = 90.1980
Fig-3: Initial Position of Link 2 and Link3
7. Selection of cross-section of links:
Mostly for SCARA Robots, links with rectangular cross
section are considered. With reference of previous research
papers and analyzed data the rectangular cross section for
links of SCARA Robot is considered. Section Modulus is also
considered for selecting the cross section. Basically section
modulus is the property which indicates strength of beams
based on their cross section.‘S=I/y’ where, ‘I’ is the moment
of inertia and ‘y’ is the distance from the neutral axis .Hence,
rectangular cross section is considered for obtaining high
strength as compared to other cross sections.
8. Selection of Ball Screw:
Ball screw is used to convert the rotary motion into linear
motion. Considering the travel of 300 mm and other
parameters such as mounting of motors and mounting of
supports, the length of screw shaft is considered. The shaft
length of 800 mm is considered from standard catalogue.
The ball screw is selected by referring tostandardcatalogue.
The lead of screw shaft indicatesthelineardistancetravelled
by nut per one revolution of screw. From the possible
combinations of shaft length, diameter of screw shaft and
lead, the ball screw of 5mm lead with 20 mm diameter is
selected.
9. Selection of Motors:
The link has to trace circular path while achieving the
desired position. The torque is very high, hence motor with
reducer is considered. Reducer reduces the rpm and
increases the torque so that the weight of the links can be
moved using this hightorque.Themaximumtimeconsidered
for movement of π radian is 0.5 sec. So,
ω = π/0.5 = 2π
Thus, N=(ω×60)/(2π)= 60 rpm.
From standard motors, a motor with reducer is selected.
Following are the characteristics of motors:
Reducer Specifications:
Motor Specifications:
10. CALCULATIONS OF FORCES:
The forces are calculated on each link. The free body
diagram of each link is considered to calculate the forces.
Initially the robot links move to reach the desired position
Ratio 50
Backlash 5 arc-min
Allowable nominal torque 75 N-m
Allowable maximum torque 125 N-m
Allowable average input
speed
3000 rpm
Allowable maximum input
speed
6000 rpm
Allowable radial load
(Applied to the output shaft
center)
2100 N
Capacity 0.4 kW
Nominal torque 1.3 N-m
Maximum torque 3.8 N-m
Nominal speed 3000 rpm
Maximum speed 4500 rpm
500
100
600
Fixed support (0,600)
L1
L2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4835
and when the nutrunner is in operation the links are
stationary. The nutrunner imposes 60 N-m torque on the
gripper of link3 and then it is transmitted to previous links.
The following is figure of Link 3 along with gripper. The
weight of standard Nutrunner is 4kg. So it exerts 40 N force
vertically downward. The nutrunner is considered to be
clamped 60 mm above from its lowest point. So force
imposed due to 60 N-m torque is, F=60/0.15 where 0.15 is
the radius of nut runner where it is to be clamped.
F=400N
Fig-4: Design of Link 3 with gripper attached in solid edge
The links impose their self-weight on previous links. For
Link2, the weight of link3 along with nutrunner weight is
considered. The weight of Link 3 is obtained by assigning
material in solid edge and calculating its value.
So total force acting on the link2 is,
F=40+75+80=195N
Fig-5: Design of Link2 in Solid Edge
Due to link2 and link3 bending moments are imposedon the
vertical link. Hence supports are designed for ball screw to
sustain such large bending moments. A block is designed for
mounting of Link2 and Link3 on the ball screw. The nut of
ball screw is assembled inside the block. As the nut moves it
provides linear motion to the whole assembly with travel of
300 mm.
Fig-6: Design of vertical link in solid edge
Fig-7: Assembly of SCARA ROBOT in Solid Edge
11. STRUCTURAL ANALYSIS OF SCARA ROBOT:
Finite Element Analysis is used to optimize the design by
performing analysis. The above calculatedforcesareapplied
on the each link and analysis is performedinAnsyssoftware.
Without loss of generality, the material consideredfor whole
assembly is structural steel. For analysis two conditions
were considered:
Case1: When the nut runner is in operation and links are
stationary.
Case2: When the links are moving to desired position
carrying the nut runner.
11.1 Case 1:
During this case it is considered that links are stationaryand
Nut runner is in operation. The analysis is performed to
obtain results of Von-mises stresses (equivalent stresses)
and Total deformation. The analysis is performed by fixing
one end of link and applying calculated forces.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4836
Fig-8: Von-Mises Stress Analysis of Link 3
The above analysis results show that link is safe to sustain
stresses imposed due to nut running operation.
Fig-9: Deformation analysis of Link3
The above deformation results show that link is safe in
deformation. The critical area is gripper to whichnutrunner
is clamped. The deformation is negligible and link can
sustain high forces due to nut runner operation.
Fig-10: Von-Mises Stress Analysis of Link2
Fig-11: Deformation Analysis of Link2
The above results of stress and deformationanalysisoflink2
show that link2 is safe and can sustain forces transmitted
from link3 during nut running operation.
Fig-12: Von-Mises Stress Analysis of Link1
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4837
Fig-13: Deformation Analysis of Link1
The above results of analysis for vertical link shows that the
link is safe against the bending moments imposed due to
link2 and link3.
The following result table shows the results for each link
with maximum and minimum deformation and stresses.
Link
no.
Von-MisesStress(MPa) Deformation(mm)
Max Min Max Min
1 91.62 8.28×10-16 0.337 0
2 19.29 0 0.18 0
3 358.43 0.005 1.04 0
Table-3: Result Table for Case 1
11.2 Case 2
During this case, the robot motion is considered to reach to
desired position. Servo motor is considered to drive the
mechanism. Hence, while tracing the points of workspace
various radial forces and joint torques are considered. The
analysis of full robot assembly is performed in ansys. The
results are obtained fordeformationandequivalentstresses.
There are chances of buckling of ball screw while achieving
the desired position. Hence analysisisperformedtoimprove
the design and optimize the material.
The following figure shows analysis results for stresses on
full model.
Fig-14: Von-Mises Stress Analysis on full model
Fig-15: Deformation Analysis of full model
The following result table shows the results for the robot
with maximum and minimum deformation and stresses.
Von-Mises Stress(MPa) Deformation(mm)
Max Min Max Min
41.52 2.47×10-11 0.167 0
Table4: Result Table for Case 2
11. CONCLUSION
Thus, from analysis results we can conclude that the
designed configuration of SCARA Robot for Nut tightening
and loosening application is perfect for manufacturing. The
motion study performed in solid edge shows that the robot
satisfies locus of all points presentontheworkspace.Results
obtained from analysis on Ansys software, we can conclude
that the links of the robotic arm can sustain the forces
imposed on it due to Nut running operation. The robot
designed is of PRR configuration which is a new
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4838
development for this type of robot in nutrunner application.
A small workspace is considered in this design of robotic
arm. Similarly this robotic arm can be designed for larger
workspace and can be manufactured.
REFERENCES
[1] KSM Sahari and Hong Weng Khor, “Design and
Development of A 4-Dof SCARA Robot For Educational
Purposes ” , Article in Jurnal Teknologi- January 2011.
[2] Aliriza Kaleli,Ahmet Dumlu, M. Fatih Corapsiz and
Koksal Erenturk, “ Detailed Analysis of SCARA-Type
Serial Manipulator on a Moving Base with LabView,
Article in International Journal of Advanced Robotic
Systems- 19th Feb 2013
[3] Kurt E. Clothier and Ying Shang, “A Geometric Approach
for Robotic Arm Kinematics with Hardware Design,
Electrical Design, and Implementation,” Journal of
Robotics- 18th August 2010.
[4] Bernhard Mohl and Oskar Von Stryk, “Design and
Application of a 3DOF Bionic RobotArm,”-January2005.
[5] Dr. Amar Nageshwar Rao, Jeevan ,“ Modelling and
Analysis of Robotic Arm using Ansys ”, International
Journal Of Scientific Engineering and Technology
Research, Vol.04,Issue.33, August-2015.
[6] Banoth Bhadru, D. Narendar, B. Kiran, “Design and
Fabrication of SCARA Robot with 5 DegreesofFreedom”,
International Journal of Scientific Research and
Development, Vol.3, Issue 03, 2015.
[7] Nagy M.Abu-Elella,SaidM.Megahed,MohamedE.Elarabi,
“ Force Analysis Of Robot Arms”- Jan 1996
[8] Claudio Urrea, Juan Cortes, Jose Pascal, “ Design,
Construction and Control of a SCARA manipulatorwith6
degrees of freedom”, Journal of Applied Research and
Technology- 28 September 2016.
[9] Tarun Pratap Singh, Dr. p. Suresh, Dr. Swet Chandan, “
Forward and Inverse Kinematic Analysis of Robotic
Manipulators”, International Research Journal of
Engineering and Technology,Vol:04, Issue:02,Feb-2017
[10] John Faber Archilla Diaz, Max Suell Dutra,Claudia Johana
Diaz, “ Design and Construction of a Manipulator Type
SCARA Implementing a Control System”, International
Congress of Mechanical Engineering, November 2007.
BIOGRAPHIES
VARAD AVCHAT
Student at P.E.S’s Modern College
Of Engineering, Pune.
Branch: Mechanical Engineering
RASIKA KALE
Student at P.E.S’s Modern College
Of Engineering, Pune.
Branch: Mechanical Engineering
JATEEN KODAM
Student at P.E.S’s Modern College
Of Engineering, Pune.
Branch: Mechanical Engineering
RUSHABH KOKATE
Student at P.E.S’s Modern College
Of Engineering, Pune.
Branch: Mechanical Engineering

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IRJET- Design and Analysis of 3-Axis Scara Robot to Sustain 60 N-M Torque by Nutrunner

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4832 DESIGN AND ANALYSIS OF 3-AXIS SCARA ROBOT TO SUSTAIN 60 N-m TORQUE BY NUTRUNNER VARAD AVCHAT1, RASIKA KALE2, JATEEN KODAM3, RUSHABH KOKATE4 1,2,3,4Student, Dept. of Mechanical Engineering, P.E.S’s Modern College of Engineering, Pune, Maharashtra, India ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – This paper focuses on design and analysis of 3- Axis SCARA Manipulator to sustain 60 N-m Torque Tooling. Nowadays the use of robots on production lines has increased to reduce the production time and increase the productivity. As we go for more specialized robotic machining operations, the cost of robot increases. The basic objective is to design low cost and compact robotic arm which will handle Electric Nutrunner imposing 60 N-m torque during operation. The SCARA robot can be used in various tooling applications like screw driver, Nutrunner, riveting machines etc. The main advantage is that the robot is designed to operate by Servo motors so it is light weight as compared to hydraulic and pneumatic actuation. Key Words: SCARA ROBOT, KINEMATICS OF SCARA ROBOT, INVERSE KINEMATICS, STRUCTURALANALYSIS. 1. INTRODUCTION The robotic arms used forassemblyandproductionoperations help to reduce errors and human effort with more production rate. The main feature of SCARA configuration is high speed, less maintenance, high repeatability and robust in design. SCARA ROBOTS are mostly used for pick and place operations but we have designed it for machining operations. SCARA stands for Selective Compliance Assembly Robot Arm which has 3-Dof with one linear motion and two rotational motions. This case study is concern with design ofSCARARobotwhichis servo motor driven. Configuration used for SCARA Robot is PRR configuration. It is difficult to provide prismatic joint for tooling as tool is very heavy for linear motion in vertical direction .Hence ball screw is used to provide vertical motion. The desired height for operation can be achievedwiththehelp of ball screw for nut running operation. The servo motor with reducer controls the linear and rotational motionoftherobot. Ball screw is used to achieve the linear motion. Thispaperalso describes the calculations of link lengthsandforcesonjointsof robotic arm. The structural analysis is performed on the links to validate and improve the design. 2. LITERATURE REVIEW 1. Design, Manufacturing and analysis of Robotic Arm with SCARA Configuration by Kaushik Phasale, Praveen Kumar, Akshay Raut, Ravi ranjan Singh, Amit Nichat. This paper deals with design of 4-Axis SCARA Robot. The analysis is also performed in Ansys. For experimental setup, the robot with cardboard material is made by author. The experimental model is used to analyzethelocationofmotors, length of links and its movements. The designing of robotic arm is done in creo software. The animation is done with various constraints in the software. This research study also includes the manufacturing and assemblyprocessesofrobot. 2. Modeling, Simulation And Analysis of SCARA Robot for Deburring of circular components by PVS Subhashini, N.V.S Raju and G. Venkata Rao. This research study describes the study of SCARA Robot for deburring operation of circular profiles. The SCARA Robot with four degrees of freedom is modeled in CAD Software. The Kinematics of Robot is also explained in simplest way. The results of joint positions and joint velocities calculated from CAD Software are compared with resultsobtainedfrom MATLAB. The mathematical modeling and its results in MATLAB is best explained through this paper. 3. Design and Fabrication of SCARA Robot with 5 Degrees of Freedom by Banoth Bhadru, D. Narendar, B. Kiran. This paper deals with design and fabrication of SCARARobot of 5 degrees of Freedom which is driven by stepper motor and servo motor. The authorhasdevelopedanewwaytogive motions in 5- Axis with the help of stepper and servo motors. Arm motion isachieved usingservo motorswhiletheinverse kinematics algorithm is implemented by using stepper motors for position control. Author has given details of fabrication of robot in this paper. The paper also describes the programming of robot with the help of microcontroller. 4. Modelling and Analysis of Robotic Arm using Ansys by Jeevan, Dr. Amar Nageshwar Rao. This paper deals with study of different cross-sections of robotic arm and its analysis in ansys. The cross-sections considered are hollow square, Solid Square, hollow circular and solid circular. All four different cross-sections are designed in CAD software. The results of stress and deformation are compared and conclusion is derived. The deformation is less in hollow square link cross-section and the stresses are less in hollow circular cross-section. 5. Kinematic Analysis of Various Robot Configurations by GameR.U. , Davkhare A.A. , Pakhale S.S.,EkhandeS.B.,Shinde V.B. This paper deals with study of forward and inverse kinematics of robotmanipulators.Variousmodelssuchas2R, 3R, 3R-1P, 5R, 6R are used by author to study D-H parameters of directandinversekinematics.Theauthorused roboanalyzer and MATLAB software to obtain results of inverse and direct kinematics. The author compared the results obtained from roboanalyzer and MATLAB along with
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4833 algebraic method. This researchstudyconcludesthatinverse kinematicanalysisiscomplexandchallengingascomparedto forward kinematics. Forwardkinematicanalysisofanyrobot configuration is easy to calculate joint angles along with positions. The study aims to analyze the results of inverse kinematics in roboanalyzer, MATLAB and algebraic method. 3. PROBLEM STATEMENT To design 3-Dof SCARA Robot for workspace dimensions of 1200×500 mm. The objectiveistodesignaroboticarmwhich will sustain 60 N-m tooling torque at the end of gripper. 4. METHODOLOGY Fig-1: Methodology Flow for design and analysis 5. ANALYTICAL CALCULATIONS 5.1 WORKSPACE DEFINITION OF SCARA ROBOT The SCARA Robot is designed for 1200×500 mm workspace dimension. The assumptions made are: SCARA Robot is placed between center of workspace and it is kept away by 100 mm distance from the workspace. Fig-2: Predefined workspace for SCARA robot First of all the lengths of the links are optimized by drawing a line diagram analytically and tracing it over the workspace for maximum and minimum distancecoverage. Thelengthof links 2 and 3 should be such that tool covers every point on the work-piece. By using this method the when second and third links are fully outstretched, the total length of links can also be calculated analytically using Pythagoras Theorem, i.e.: addition of lengths of 2 links outstretched (6002 +6002)1/2 = 848.5281 mm 6. KINEMATICS OF SCARA ROBOT Denavit and Hartenberg (DH) proposed a systematic notation for assigning right handed orthogonal frames, one to each link in an open kinematic chain of links.Oncethelink is attached coordinate frames are assigned, transformations between adjacent coordinate framesthatcanberepresented by 4X4 homogeneoustransformationmatrix.Followingisthe description of DH parameters of SCARA Robot: Table-1: Description parameters of DH Method Table-2: DH Parameter Table for SCARA Robot There are two types of Kinematics methods: 1. Forward Kinematics 2. Inverse Kinematics As we know the workspace dimensions i.e. we know the end effector positions. Hence we know the link lengths but not joint angles. To determine the joint angles we have used Inverse Kinematics method. 6.1. INVERSE KINEMATICS  Inverse Kinematics means using kinematics equations of robot for determining the joint angles from known values of end effector positions. For determining the joint angles considerthe motionof two links with revolute joint from given below diagram. Arm Parameter Symbol Revolute Joint Prismatic joint Joint Angle Θ Variable Fixed Joint Distance D Fixed Variable Link Length A Fixed Fixed Link Twist Angle α Fixed Fixed Link αi ai di θi 1 0 l1 q1 0 2 π l2 0 q2 3 π l3 0 q3 500 1200 100 600 ROUGH DESIGNING AND MODELING ON PAPER. ASSEMBLY AND STUDY OF WORKING USING SOLIDEDGE ANALYSIS USING ANSYS SOFTWARE ACTUAL DESIGNING OF DIFFERENT PARTS USING SOLIDEDGE CALCULATION OF LINK LENGTHS, JOINT ANGLES AND EXPECTED FORCES MODIFICATIONS IF ANY REQUIRED FOR IMPROVEMENT
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4834  Initially the position of link is assumed at (0,600) : (x, y). The joint angles at this position are: L1= Link 1 and L2= Link 2 x=0 and y= 600 (all dimensions are in mm) θ1= joint angle moved by link 1 θ2= joint angle moved by link 2 Cos θ2 = (x2+y2-L12-L22) / (2*L1*L2) Tanθ1=[y(L1+L2*cosθ2)– x*L2*sin θ2]/[x (L1+L2*cosθ2) + y*L2*sin θ2] Calculations lead us to the initial angular positions of links as, θ1 = 44.90 and θ2 = 90.1980 Fig-3: Initial Position of Link 2 and Link3 7. Selection of cross-section of links: Mostly for SCARA Robots, links with rectangular cross section are considered. With reference of previous research papers and analyzed data the rectangular cross section for links of SCARA Robot is considered. Section Modulus is also considered for selecting the cross section. Basically section modulus is the property which indicates strength of beams based on their cross section.‘S=I/y’ where, ‘I’ is the moment of inertia and ‘y’ is the distance from the neutral axis .Hence, rectangular cross section is considered for obtaining high strength as compared to other cross sections. 8. Selection of Ball Screw: Ball screw is used to convert the rotary motion into linear motion. Considering the travel of 300 mm and other parameters such as mounting of motors and mounting of supports, the length of screw shaft is considered. The shaft length of 800 mm is considered from standard catalogue. The ball screw is selected by referring tostandardcatalogue. The lead of screw shaft indicatesthelineardistancetravelled by nut per one revolution of screw. From the possible combinations of shaft length, diameter of screw shaft and lead, the ball screw of 5mm lead with 20 mm diameter is selected. 9. Selection of Motors: The link has to trace circular path while achieving the desired position. The torque is very high, hence motor with reducer is considered. Reducer reduces the rpm and increases the torque so that the weight of the links can be moved using this hightorque.Themaximumtimeconsidered for movement of π radian is 0.5 sec. So, ω = π/0.5 = 2π Thus, N=(ω×60)/(2π)= 60 rpm. From standard motors, a motor with reducer is selected. Following are the characteristics of motors: Reducer Specifications: Motor Specifications: 10. CALCULATIONS OF FORCES: The forces are calculated on each link. The free body diagram of each link is considered to calculate the forces. Initially the robot links move to reach the desired position Ratio 50 Backlash 5 arc-min Allowable nominal torque 75 N-m Allowable maximum torque 125 N-m Allowable average input speed 3000 rpm Allowable maximum input speed 6000 rpm Allowable radial load (Applied to the output shaft center) 2100 N Capacity 0.4 kW Nominal torque 1.3 N-m Maximum torque 3.8 N-m Nominal speed 3000 rpm Maximum speed 4500 rpm 500 100 600 Fixed support (0,600) L1 L2
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4835 and when the nutrunner is in operation the links are stationary. The nutrunner imposes 60 N-m torque on the gripper of link3 and then it is transmitted to previous links. The following is figure of Link 3 along with gripper. The weight of standard Nutrunner is 4kg. So it exerts 40 N force vertically downward. The nutrunner is considered to be clamped 60 mm above from its lowest point. So force imposed due to 60 N-m torque is, F=60/0.15 where 0.15 is the radius of nut runner where it is to be clamped. F=400N Fig-4: Design of Link 3 with gripper attached in solid edge The links impose their self-weight on previous links. For Link2, the weight of link3 along with nutrunner weight is considered. The weight of Link 3 is obtained by assigning material in solid edge and calculating its value. So total force acting on the link2 is, F=40+75+80=195N Fig-5: Design of Link2 in Solid Edge Due to link2 and link3 bending moments are imposedon the vertical link. Hence supports are designed for ball screw to sustain such large bending moments. A block is designed for mounting of Link2 and Link3 on the ball screw. The nut of ball screw is assembled inside the block. As the nut moves it provides linear motion to the whole assembly with travel of 300 mm. Fig-6: Design of vertical link in solid edge Fig-7: Assembly of SCARA ROBOT in Solid Edge 11. STRUCTURAL ANALYSIS OF SCARA ROBOT: Finite Element Analysis is used to optimize the design by performing analysis. The above calculatedforcesareapplied on the each link and analysis is performedinAnsyssoftware. Without loss of generality, the material consideredfor whole assembly is structural steel. For analysis two conditions were considered: Case1: When the nut runner is in operation and links are stationary. Case2: When the links are moving to desired position carrying the nut runner. 11.1 Case 1: During this case it is considered that links are stationaryand Nut runner is in operation. The analysis is performed to obtain results of Von-mises stresses (equivalent stresses) and Total deformation. The analysis is performed by fixing one end of link and applying calculated forces.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4836 Fig-8: Von-Mises Stress Analysis of Link 3 The above analysis results show that link is safe to sustain stresses imposed due to nut running operation. Fig-9: Deformation analysis of Link3 The above deformation results show that link is safe in deformation. The critical area is gripper to whichnutrunner is clamped. The deformation is negligible and link can sustain high forces due to nut runner operation. Fig-10: Von-Mises Stress Analysis of Link2 Fig-11: Deformation Analysis of Link2 The above results of stress and deformationanalysisoflink2 show that link2 is safe and can sustain forces transmitted from link3 during nut running operation. Fig-12: Von-Mises Stress Analysis of Link1
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4837 Fig-13: Deformation Analysis of Link1 The above results of analysis for vertical link shows that the link is safe against the bending moments imposed due to link2 and link3. The following result table shows the results for each link with maximum and minimum deformation and stresses. Link no. Von-MisesStress(MPa) Deformation(mm) Max Min Max Min 1 91.62 8.28×10-16 0.337 0 2 19.29 0 0.18 0 3 358.43 0.005 1.04 0 Table-3: Result Table for Case 1 11.2 Case 2 During this case, the robot motion is considered to reach to desired position. Servo motor is considered to drive the mechanism. Hence, while tracing the points of workspace various radial forces and joint torques are considered. The analysis of full robot assembly is performed in ansys. The results are obtained fordeformationandequivalentstresses. There are chances of buckling of ball screw while achieving the desired position. Hence analysisisperformedtoimprove the design and optimize the material. The following figure shows analysis results for stresses on full model. Fig-14: Von-Mises Stress Analysis on full model Fig-15: Deformation Analysis of full model The following result table shows the results for the robot with maximum and minimum deformation and stresses. Von-Mises Stress(MPa) Deformation(mm) Max Min Max Min 41.52 2.47×10-11 0.167 0 Table4: Result Table for Case 2 11. CONCLUSION Thus, from analysis results we can conclude that the designed configuration of SCARA Robot for Nut tightening and loosening application is perfect for manufacturing. The motion study performed in solid edge shows that the robot satisfies locus of all points presentontheworkspace.Results obtained from analysis on Ansys software, we can conclude that the links of the robotic arm can sustain the forces imposed on it due to Nut running operation. The robot designed is of PRR configuration which is a new
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4838 development for this type of robot in nutrunner application. A small workspace is considered in this design of robotic arm. Similarly this robotic arm can be designed for larger workspace and can be manufactured. REFERENCES [1] KSM Sahari and Hong Weng Khor, “Design and Development of A 4-Dof SCARA Robot For Educational Purposes ” , Article in Jurnal Teknologi- January 2011. [2] Aliriza Kaleli,Ahmet Dumlu, M. Fatih Corapsiz and Koksal Erenturk, “ Detailed Analysis of SCARA-Type Serial Manipulator on a Moving Base with LabView, Article in International Journal of Advanced Robotic Systems- 19th Feb 2013 [3] Kurt E. Clothier and Ying Shang, “A Geometric Approach for Robotic Arm Kinematics with Hardware Design, Electrical Design, and Implementation,” Journal of Robotics- 18th August 2010. [4] Bernhard Mohl and Oskar Von Stryk, “Design and Application of a 3DOF Bionic RobotArm,”-January2005. [5] Dr. Amar Nageshwar Rao, Jeevan ,“ Modelling and Analysis of Robotic Arm using Ansys ”, International Journal Of Scientific Engineering and Technology Research, Vol.04,Issue.33, August-2015. [6] Banoth Bhadru, D. Narendar, B. Kiran, “Design and Fabrication of SCARA Robot with 5 DegreesofFreedom”, International Journal of Scientific Research and Development, Vol.3, Issue 03, 2015. [7] Nagy M.Abu-Elella,SaidM.Megahed,MohamedE.Elarabi, “ Force Analysis Of Robot Arms”- Jan 1996 [8] Claudio Urrea, Juan Cortes, Jose Pascal, “ Design, Construction and Control of a SCARA manipulatorwith6 degrees of freedom”, Journal of Applied Research and Technology- 28 September 2016. [9] Tarun Pratap Singh, Dr. p. Suresh, Dr. Swet Chandan, “ Forward and Inverse Kinematic Analysis of Robotic Manipulators”, International Research Journal of Engineering and Technology,Vol:04, Issue:02,Feb-2017 [10] John Faber Archilla Diaz, Max Suell Dutra,Claudia Johana Diaz, “ Design and Construction of a Manipulator Type SCARA Implementing a Control System”, International Congress of Mechanical Engineering, November 2007. BIOGRAPHIES VARAD AVCHAT Student at P.E.S’s Modern College Of Engineering, Pune. Branch: Mechanical Engineering RASIKA KALE Student at P.E.S’s Modern College Of Engineering, Pune. Branch: Mechanical Engineering JATEEN KODAM Student at P.E.S’s Modern College Of Engineering, Pune. Branch: Mechanical Engineering RUSHABH KOKATE Student at P.E.S’s Modern College Of Engineering, Pune. Branch: Mechanical Engineering