Abstract:Response of nonlinear systems subjected to harmonic, parametric, and random excitation is of importance in the field of structural dynamics. The transitional probability density function (PDF) of the random response of nonlinear systems under white or coloured noise excitation (delta-correlated) is governed by both the forward Fokker-Planck (FP) and the backward Kolmogorov equations. This article presents a new approach for efficient numerical implementation of the path integral (PI) method in the solution of … Show more
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