Answer to Question #263300 in Electrical Engineering for sandhya

Question

A single DOF model of a vehicle suspension system is shown in Fig. 1. The vehicle is

travelling over a rough road with a horizontal velocity of 𝒗 m/sec. The road contour is

approximated by a sinusoid with a wavelength of 2 m and an amplitude of 3 mm. The

mass of the vehicle is 1500 kg. The equivalent spring constant of the suspension

system is 3 × 107 N/m and the system has a frictional coefficient of 1.5 × 105 N-s/m.

a. Write an expression for ‘y’ as a function of 𝒗 and time.

b. If 𝒗 = 𝟐𝟎 𝒎/𝒔, what is the maximum displacement and acceleration of the

body of the vehicle? Also add a matlab plot for this condition (input

displacement ‘y’ vs time and output displacement ‘x’ vs time on a single plot

with legend)

c. For what values of 𝒗 in m/s will the maximum displacement of the body be

limited to 4.5 mm?

d. For what value of 𝒗 the maximum displacement will be maximum? Find the

maximum displacement for that 𝑣.

Answer 1

The answer to your question is provided in the image: