Analytical Results for Optimum Actively Damped Suspensions Under Random Excitation

A single degree-of-freedom system under white noise base velocity excitation is optimized using analytical expressions for mean square response quantities. In addition to a parallel spring and passive damper combination, a force generator is assumed to provide an active damping force proportional to the isolated mass absolute velocity. Several optimal and sub-optimal boundary curves are found and the corresponding optimal parameters are also presented. The results show trends which may be useful in designing variable parameter and semiactive vehicle suspensions.