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

18 引文 斯高帕斯(Scopus)

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 oscillators 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
頁(從 - 到)179-185
頁數7
期刊Journal of Applied Mechanics, Transactions ASME
56
發行號1
DOIs
出版狀態Published - 1989 一月 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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