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Repeat Example 6.5 when the step change in road elevation a is 4 cm and the vehicle speed is 100 km/h. Plot the results.
EXAMPLE 6.5
Vehicle response to step change in road profile
Consider a car modeled as shown in Figure 6.13 with a mass of 1100 kg, a suspension stiffness of 400 kN/m, and suspension damping coefficient of 15 kNs/m. The vehicle is traveling at a speed v = 64 km/h and the step change in road elevation a = 0.03 m is 160 m away from the vehicle at t = 0. We shall determine the vehicle displacement response. The governing equation for the vehicle is given by Eq. (3.28), which is
where x(t) is the displacement response of the vehicle and y(t) is the base motion. Noting that the vehicle encounters the step change in the road condition at to (160 m) x (3600 s/hr)/(64 x 10^{3} m/hr) 9 s, the base motion characterized by the step change is described by
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