The equations of motion for a two-mass, quarter-car model of a suspension s stem are m 1
Question:
The equations of motion for a two-mass, quarter-car model of a suspension s\ stem are
m1ẍ1 = c1(ẋ2 – ẋ1) +k1(x2 –x1)
m2ẍ2 = -c1(ẋ2 – ẋ1) – k1(x2 – x1) + k2(y - x2)
Suppose the coefficient values are: m1 = 240 kg, m2 = 36 kg, k1 = 1.6 x 104 N/m, k2 = 1.6 x 105 N/m, c1 = 98 N .s/m.
a. Use MATLAB to create a state model. The input is y(t); the outputs are x1 and x2.
b. Use MATLAB to compute and plot the response of x1 and x2 if the input y(t) is a unit impulse and the initial conditions are zero.
c. Use MATLAB to find the characteristic polynomial and the characteristic roots.
d. Use MATLAB to obtain the transfer functions X1(s)/Y(s) and X2(s)/Y(s).
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Step by Step Answer:
a The following script file creates the state model m1 36m2 240k1 16e5k2 16e4c1 98 A 0 1 0 0 k1m1 c ...View the full answer
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Sinmon Warui Kamau
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