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

研究成果: Conference article同行評審

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 is 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 method for analyzing spectral response is further supported by some analytical solutions and by the fast Fourier transform (FFT) technique through Monte Carlo simulations.

原文English
頁(從 - 到)1402-1408
頁數7
期刊Proceedings of the American Control Conference
出版狀態Published - 1990 十二月 1
事件Proceedings of the 1990 American Control Conference - San Diego, CA, USA
持續時間: 1990 五月 231990 五月 25

All Science Journal Classification (ASJC) codes

  • 電氣與電子工程

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