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.
|頁（從 - 到）||1402-1408|
|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 23 → 1990 五月 25
All Science Journal Classification (ASJC) codes