Question

(40pts) The suspension system for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle distributed on this wheel is mi and the mass of the wheel is m2. The suspension spring has a spring constant kı and the tire has a spring constant of k2. The damping constant of the shock absorber is b. Assume the truck's vertical displacement yi(t) is the output and the road surface profile x(t) is the input. a. (10pts) Obtain the transfer function Yı(s)/X(s) of the system. Note: you can use the equations already derived in the lecture slides b. (30pts) Using MATLAB, generate plots of y1(t) for the following set of systenm parameters, one plot for each set. Comment on how the damping constant of the shock absorber affect the truck's vertical displacement when the truck goes through a pothole of depth 0.1m. An example MATLAB code "ExampleMatlabCodeSimuatingSvstemResponses.m" has been uploaded on Canvas under "Homework". Set 1: m1 300 kg, m2 60 kg, kı 16,000 N/m, k2 200,000 N/m, b 1,000 N/m/s Set 2: m1 300 kg, m2 60 kg, kı 16,000 N/m, k2 200,000 N/m, b 100 N/m/s Set 3: m1 300 kg, m2 60 kg, kı 16,000 N/m, k2 200,000 N/m, b 10,000 N/m/s Shock absorher Profile of road

Answer 1

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