Methods and Gaussian criterion for statistical linearization of stochastic parametrically and externally excited nonlinear systems

Ren-Jung Chang, G. E. Young

研究成果: Article同行評審

摘要

The methods of Gaussian linearization along with a new Gaussian criterion used in the prediction of the stationary output variances of stable nonlinear oscillator subjected to both stochastic parametric and external excitations are presented. The techniques of Gaussian linearization are first derived and the accuracy in the prediction of the stationary output variances is illustrated. The justification of using Gaussian linearization a priori is further investigated by establishing a Gaussian criterion. The non-Gaussian effects due to system nonlinearities and/or large noise intensities in a Duffing oscillator are also illustrated. The validity of employing the Gaussian criterion test for assuring accuracy of Gaussian linearization is supported by performing the chi-square Gaussian goodness-of-fit test.

原文English
期刊American Society of Mechanical Engineers (Paper)
出版狀態Published - 1988

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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