A practical technique for spectral analysis of nonlinear systems under stochastic parametric and external excitations

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

A practical approach is developed for analyzing the spectral response of a nonlinear system subjected to both parametric and external Gaussian white noise excitations. The technique is implemented through the combined methods of equivalent external excitation and equivalent linearization to derive an equivalent linear system under equivalent external noise excitation. The spectral response isthen obtained through utilizing the input/output spectral relation and covariance matching condition.A parametric noise excited linear system, Duffing oscillator, and nonlinear system with hysteretic nonlinearity are selected for investigation. The validity of the proposed method for analyzing spectralresponse is further supported by some analytical solutions and FFT technique through Monte Carlo simulations.

原文English
頁(從 - 到)516-522
頁數7
期刊Journal of Vibration and Acoustics, Transactions of the ASME
113
發行號4
DOIs
出版狀態Published - 1991 一月 1

All Science Journal Classification (ASJC) codes

  • 聲學與超音波
  • 材料力學
  • 機械工業

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