Abstract
Non-Gaussian response characteristics of an asymmetric nonlinear system subjected to nonwhite random excitation are investigated. Applying a previously developed analytical method, which contains moment equations method and non-Gaussian equivalent linearization technique, stationary responses are numerically computed. Non-Gaussian indicators i.e. skewness, kurtosis and equivalent linear coefficients which are defined by the 3rd and 4th order moments are considered. Responses in a family of the asymmetric parameter of the system and the dominant frequency of the excitation are plotted onto a diagram as the map of non-Gaussianity. Numerical results demonstrate the effects of bandwidth and amplitude of the excitation, as well as the asymmetric properties of the system and the dominant frequencies of the excitation, upon the non-Gaussian response characteristics.