VVIP Pune Call Girls Karve Nagar (7001035870) Pune Escorts Nearby with Comple...
Project Presentation.pptx
1. Recliner Chair Mechanism
ENME 473 - Winter 2021 - Group 21
Leena Tanakoor, Levi Roberts, Liam Hunter, Lisa Cai, Long Tran, Long Tran
1
2. Research Questions
● What is the minimum force required on the handle (link 2) to activate the mechanism?
● What duration of time does it take for the mechanism to fully extend?
● What is the maximum extended length of the recliner?
● Did the design and simulation replicate the real life model?
[1]
2
3. Simplifying Assumptions
● All the components are assumed to be rigid, without any bending of the parts.
● It is also assumed that all components were manufactured using proper design
specifications and that they are in perfect working condition.
● Effects of friction are assumed to be negligible.
● Constant load is assumed for the recliner chair.
3
4. Mobility
m = 3(links-1) - 2(j1 joins) - (j2
joint) - (redundant constraints)
m = 3(8-1) - 2(10)-0-0
m = 21 - 20
m = 1
4
Link # Length (m) Width (m) Thickness (m)
1 0.1524 0.009525 0.00635
3 0.2286 0.009525 0.00635
4 0.127 0.009525 0.00635
5 0.127 0.009525 0.00635
6 0.2286 0.009525 0.00635
7 0.1778 0.009525 0.00635
8 0.0508 0.009525 0.00635
Figure #1: Kinematic Diagram of Recliner Chair Mechanism
Table 1: Dimensions of the Links
5. Loops
Loop 1 - Orange
Loop 2 - Green
Loop 3 - Pink
Loop 4 - Blue
5
Figure #2: Posture Analysis and Loop Displaying Entire Mechanism
7. Loop Analysis - Position
Analysis was focus on link 7
● Maximum horizontal length: 0.575 m
● Maximum vertical length: 0.1 m
Literature value for fully extended length of the
mechanism:0.53m
The obtained figured verified our expected motion
of link 7.
7
Figure #3: Path motion of the leg cushion.
Figure #4: Fully Dimensioned Model of Recliner Chair in Meters
8. Loop Analysis - Velocity
Again the analysis will be focused on link 7
● Max speed: ~0.48 m/s
● The speed oscillate around 0.48 m/s
8
Figure #5: Absolute velocity of the leg cushion
9. Kinetic Analysis - Torque
The graph shown represents the output torque of Joint
2 found using simulink.
● The torque graph will be used to determine the
output force acting on the reclining chair handle
as the torque can be represented as a moment
which has a moment arm (Link 2) and a force
which is the input force.
9
Figure #6: Partial Kinematic Diagram of
Recliner Chair Mechanism
Figure #7: Output Torque Acting on Joint A
10. Kinetic Analysis - Force
● Joint A on Link 2 represents the recliner
handle.
● Using the output torque graph on simulink, a
force versus time plot is generated.
● The minimum and maximum force to operate
the mechanism can be noted as (6.45N-38.35N)
10
Figure #8: Required Input Force on Link 2 vs Time
11. Answer Research Question 1
● What is the minimum force required on the handle (link 2) to activate the mechanism?
Table 2: Comparison of Results for minimum activation force
Recliner Model
Mechanism Result
Experimental Result Literature Value
6.45-38.35 N 8.34 N N/A
11
Figure #7: Output Torque Acting on Joint A
12. Answer Research Question 2
● What duration of time does it take for the mechanism to fully extend?
Recliner Model
Mechanism Result
Experimental Result Literature Value
1 s 0.77 s 4.0 s [2]
12
Figure #10: Position on the end of link 2
Table 3: Comparison of total extended time
13. Answer Research Question 3
● What is the maximum extended length of the recliner?
Table 4: Comparison of results for the maximum extended length
Recliner Model
Mechanism Result
Experimental
Result
Literature Value
0.57 m 0.61 m 0.53-0.66 m [3]
13
Figure #3: Path motion of the leg cushion.
14. Answer Research Question 4
Did the design and simulation replicate the real life model?
● Our model gives a good representation of the real life model.
● Some differences were seen when comparing our results to the experimental and literature values.
● Can be accounted for by the following 3 main reasons:
1. Spring Assistance
2. Load on the recliner during motion
3. Friction in the experimental recliners
14
15. Key Findings
● We were successful in creating a model to simulate the moving mechanism of a recliner
chair.
● Found the minimum force and time taken for mechanism activation, as well as the fully
extended length, hence answering our research questions.
● These factors are important for both manufacturers and clients so that they can make better
choices according to their preferences.
15
16. References
[1] 2019 Posted by cttsonline On June 7, “Questions To Ask For Success: IT Support Georgetown, TX,” CTTS, Inc. [Online].
Available: https://www.cttsonline.com/2019/06/07/questions-entrepreneurs-need-to-ask-to-succeed/. [Accessed: 12-Apr-2021].
[2]S. H. Freier, “The effect of office chair backrest design on the body’s metabolic response to office work,” Marquette.edu. [Online].
Available: https://epublications.marquette.edu/cgi/viewcontent.cgi?article=1014&context=theses_open. [Accessed: 12-Apr-2021].
[3] “Recliner Fit,” La-z-boy.com. [Online]. Available: https://www.la-z-boy.com/content/recliner-fit. [Accessed: 12-Apr-2021].
[4] “How to Measure Your Space for a Recliner,” Livingspaces.com, 07-Sep-2018.
16
Lisa
Here is the kinetic diagram of the recliner chair mechanism. It has a total of 8 links and 10 joints which allowed us to calculate the mobility of the mechanism to be 1.
The dimensions of each link was fairly challenging for us to determine as the literature sources varied in answers as the recliner chairs on the market vary in size. In the end we ended up going with the following lengths as it provided us with a reasonable length and height for the fully extended mechanism. The numbers for the link look really random but this is because most recliner chair dimensions are given in inches which was converted to SI units Please note that the kinetic diagram is not drawn to scale.
Lisa
Here are the four loops that we used for for the closed form solutions of the posture, velocity and acceleration analysis. Loop 1 is shown in orange, loop 2 is shown in green, loop 3 is shown in pink and the final loop, loop 4 is shown in blue.
Liam: Solidworks video. Shown above is the continuous loop of the solidworks video.
Long 1
Our analysis will be focused on link 7 in our kinematic diagram because link 7 will simulate the leg cushion of a recliner chair. We were able to plot the motion of link 7 with respect to time in both directions as shown in figure 3.
The fully extended dimension of the mechanism was also plotted in figure 4 using Solidworks, we were able to obtain the maximum length of the recliner mechanism to be 0.57 m comparing to 0.53m.
Long 1
Link 7 has a maximum absolute speed of 0.48 m/s and the total time for the mechanism to fully extend was found to be 1 second. By using Simulink, we were able to plot the absolute velocity of the link 7 as a function of time.
The total time for one cycle of motion to complete was considerably short only around 1s, thus, it is reasonable to say that the mechanism is fast enough to comfort the users without being a hazard for anyone.
Liam - Kinetic Analysis - Torque. Shown on the right is the output torque acting on Joint 2 vs time. Joint A is grounded and represents the point at which the handle pivots and reclines the mechanism. The graph was generated using simulink and matlab
Liam - force analysis. Shown on the right is the input force on link 2 or the handle vs time. It can be noted that this graph displays a similar trend to the output torque as linear manipulation was done to generate this plot. It can be noted that a minimum of 6.45N is needed to activate the mechanism up to a maximum of 38.35N. Therefore we can say at a maximum the user needs to input 8.62lbs for 1 second. This value however can change depending on the user as the input force was determined using the weight of an average cushion plus the weight of an human acting on link 7.
Leena : The minimum force of activation for our model ranged from 6.45N to 38.35N, depending on the position of the handle. Although we were not able to find any literature value for the activation force for a similar real-life recliner model, these values make sense because it’s around the typical force that an adult would exert on a handle. Our experimental value also lies in the same range, which makes our results look more reliable.
Long 1: The amount of time for our our mechanism to extend fully was found to be 1s using our recliner model. The literature value we obtain was 4 seconds. The value is quite off from the literature values obtained because they were based on a few different recliners models, that were quite bulkier than the model that we created. However, the experimental value agrees with the model results, which means that our results are acceptable.
Leena: The maximum extended length obtained from our model was 0.57 m. This is a very important factor to consider, especially from the client’s perspectives.
This value agrees with both our experimental results and literature value as shown in the table. There is just slight differences, which are completely acceptable