MAE+375+Lab+8+Fall+2023
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MAE 375: Kinematics and Dynamics of Mechanisms
Lab 8: Dynamic Force Analysis
Instructor Jeremy Bonifacio, Fall 2023
Show your work clearly. Illegible work will not be given full credit. Follow the submission instruction for the files carefully. Include your name as the first comment line in all program files. Staple your work (extra pages, printouts, etc.) to this handout for submission. You can work in a team up to 3 students
NAME:_______________________________________________________________________
Total Score: 10 pts
[10] Solve Problem 11-10 (pg 631). Write a MATLAB script, called YourLastName
Lab8, to output all the pin forces and torques needed to drive the crank at this position. Table B-1 (appendix B) gives the specific weight s
of different metals (in lb/in
3
).
All Dimensions in meters. 1 lb
f
= 4.45 N, 1m = 39.37 in
Crank and Rocker: Steel, 50 mm wide X 25 mm thick
Coupler: Aluminium, 25 mm thick
Input crank angle: θ
2
= 30
o
Input crank angular velocity: ω
2
= 15 rad/s
Input crank acceleration: α
2
= -10 rad/s
2
Force at point P: F = 500 N Write down your analysis work in the space below. Submit the m-file in the Dropbox, called Lab 7, on Beach board. Tips: Use array operation and built-in functions, such as zeros(), to optimize your code.
Setup a LNCS on each link as its CG. Follow the definitions of the variables shown in Figure 11-3 on pg. 590 to derive your kinematic and dynamic parameters. Show the steps (formula, equation, etc.) that you use and the final values of the listed parameters in the space below.
The actual computation can be carried out in your script. 1.
Find the mass in kg
of each link
m
2
= m
3
= m
4
= 2.
Find the location of the CGs of each link with respect to its own LRCS
located at the joint, i.e. find the GC of link 2,3, and 4 with respect to O
2
, A and O
4
, respectively. Give their coordinates below.
CG
2
= CG
3
= CG
4
=
3.
Give the position vector of the joint locations with respect to link’s LNCS
Link 2:
R
12
= R
32
= Link 3:
R
23
= R
43
= R
p
= Link 4:
R
43
= R
14
= 4.
Find the mass moments of inertia (I
z
0 about the CGs of each link).
I
G2
= I
G3
= I
G4
= 5.
Find the linear acceleration of the CG of each link with respect to its LNCS
a
G2
= a
G3
= a
G4
= 6.
Solve the unknown in MATLAB. Write down the final answers below.
F
12
= F
32
= F
43
= F
14
= T
12
=
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