Parametric Random Vibrations under Non-Gaussian Delta-Correlated Processes

Abstract

This paper addresses parametric random vibrations subjected to non-Gaussian delta-correlated processes as well as combinations of delta-correlated Gaussian and non-Gaussian processes. The scheme employs a response-moment method, in which response moments are solved through a series of simultaneous equations. This approach requires that a general response moment equation suitable for non-Gaussian/Gaussian, parametric/external excitations be developed. Two problems related to second-order linear systems are explored and their closed-form solutions for response moments up to fourth order are obtained. The first problem considers systems subjected to “physical” Gaussian white-noise parametric excitations together with non-Gaussian delta-correlated external excitations. The second problem considers both parametric and external excitations that are non-Gaussian and delta-correlated.