System Dynamics
System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 13, Problem 13.2P

A quarter-car representation of a certain car has a stiffness k = 2000 lb/ft. which is the series combination of the tire stiffness and suspension stiffness, and a damping constant of c = 360 Ib-sec/ft. The car weighs 2000 lb. Suppose the road profile is given (in feet) by y(f) = 0.03 sin a)t, where the amplitude of variation of the road surface is 0.03 ft, and the frequency a>depends on the vehicle’s speed and the road profile’s period. Suppose the period of the road surface is 20 ft. Compute the steady-state motion amplitude and the force transmitted to the chassis, if the car is traveling at speeds of 20 and 50 mi/hr.

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