Abstract
A method is developed for estimating the response distribution of a nonlinear system subjected to nonwhite random excitation. The method consists of the non-Gaussian equivalent linearization technique and the use of the moment equations approach. The non-Gaussian probability density for the response distribution is expressed in terms of the potential of the system and employed for determining the equivalent linear coefficients. Numerical examples are given for a single degree-of freedom system with nonsymmetric nonlinearities. The rms and mean responses and the probability density of stochastic responses are obtained and compared with the corresponding digital simulation results.
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