Analytical Methods for the Determination of Correlations and Spectra of Nonlinear System Response

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by R. Valéry Roy, Univ of Delaware, Newark, United States,
Pol D. Spanos, Univ of Delaware, Newark, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability:

Abstract: Three analytical methods are described for the prediction of response correlation functions and spectra of nonlinear dynamic systems under white noise excitation. The associated FPK equation is used in such a way as to permit the derivation of perturbation expansions, continued fraction representations, or spectral moments.

Subject Headings: Correlation | Nonlinear analysis | Nonlinear response | Dynamic analysis | Excitation (physics) | Permits |

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