Optimum design of dynamic absorbers for a system subject to random excitation.

Abstract

This paper proposes an optimum method of design of dynamic vibration absorbers for a system subject to stationary random excitation with ideal white noise. The optimization criterion is to minimize a performance measure defined by the mean square acceleration response of the primary system to unit input acceleration. Optimum design parameters of the dynamic absorbers can be formulated if the primary system has no damping. If there is damping in the primary system, the optimum parameters are obtained from the solution of simultaneous equations. The optimum parameters obtained here are different from the former ones evaluated by the so-called Den Hartog's theory. This comes from the difference in the performance measure in these theories. The optimum parameters are tested on a vibratory model. The experiment makes, it clear that our theory is very useful for protecting the system from vibration induced by random excitation.