Response Distribution of a Nonlinear System Subjected to Non-Gaussian Random Excitation with Correlation Time

Abstract

Response distribution of a nonlinear system subjected to non-Gaussian excitation is investigated. The excitation is represented by its probability density and the auto-correlation function whose characteristic is governed by the correlation time. Both bimodal and Laplace distributions are considered as the non-Gaussianity of the excitation. In order to examine the influence of the non-Gaussianity and the length of correlation time of the excitation on the response, stationary response distributions of a Duffing system are simulated. It is shown that the response distribution is similar to the non-Gaussian distribution of the excitaiton when the correlation time is long.