TRANSIENT MEAN SQUARE RESPONSE OF RANDOMLY DAMPED LINEAR SYSTEMS.
Transient responses of a randomly damped one-degree-of-freedom linear system subjected to white noise excitation is discussed. The time varying damping coefficient is considered either as Gaussian white noise or filtered white noise. Perturbation approximations for mean square responses are obtained. The approximation for the white noise damping case is compared with the exact solution obtained by the moment method. It is found that they agree well within the requirement of engineering analysis. Transient responses for both the random damping cases are compared through an example.