Response Distribution of an Asymmetric Nonlinear Stiffness System to Non-Gaussian Random Excitation for a Wide Range of Bandwidth

概要

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Response distribution of an asymmetric nonlinear stiffness system to non-Gaussian random excitation is investigated. The excitation is a stationary stochastic process characterized by the non-Gaussian probability density and the power spectrum with a wide range of bandwidth. Both bimodal and Laplace distributions are considered as the non-Gaussianity of the excitation. A non-Gaussian stochastic process is generated by calculating an Ito stochastic differential equation in which the drift and diffusion coefficients are determined according to the given probability density and spectral density of the process. Monte Carlo simulations are carried out to obtain the stationary response distributions of linear system, Duffing system, and asymmetric stiffness system subjected to the non-Gaussian excitation. It is shown that the response distribution varies markedly depending on the bandwidth and non-Gaussianity of the excitation, and furthermore, the effect of the asymmetry of the system appears clearly in the response distribution.