Estimation of Non-Gaussian Response Distribution of a Nonlinear System Subjected to Random Excitation. Application to Nonwhite Excitation with Nonrational Spectrum.

Koji Kimura · Toshiyasu MORIMOTO

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Probabilistic and Robust Engineering Design Vibration and Dynamic Analysis stochastic dynamics and bifurcation

Abstract

The non-Gaussian response distribution of a single degree-of-freedom system with nonsymmetric nonlinearities subjected to nonwhite random excitation with nonrational spectra is investigated. The nonstationary and stationary probability densities of stochastic responses are calculated by employing the method which consists of the non-Gaussian equivalent linearization technique and the use of the moment equations approach. The non-Gaussian probability density function for the response distribution is expressed in terms of the potential of the system and employed for determining the equivalent linear coefficients. The results are compared with the corresponding digital simulation results.

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