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RESEARCH PAPERS

Non-Gaussian Linearization Method for Stochastic Parametrically and Externally Excited Nonlinear Systems

[+] Author and Article Information
R. J. Chang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101

J. Dyn. Sys., Meas., Control 114(1), 20-26 (Mar 01, 1992) (7 pages) doi:10.1115/1.2896503 History: Received January 20, 1990; Revised February 01, 1991; Online March 17, 2008

Abstract

A new practical non-Gaussian linearization method is developed for the problem of the dynamic response of a stable nonlinear system under both stochastic parametric and external excitations. The non-Gaussian linearization system is derived through a non-Gaussian density that is constructed as the weighted sum of undetermined Gaussian densities. The undetermined Gaussian parameters are then derived through solving a set of nonlinear algebraic moment relations. The method is illustrated by a Duffing-type stochastic system with/without parametric noise excited term. The accuracy in predicting the stationary and nonstationary variances by the present approach is compared with some exact solutions and Monte Carlo simulations.

Copyright © 1992 by The American Society of Mechanical Engineers
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