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Polynomial Chaos for Nonlinear Random Vibration

by R. Ghanem, State Univ of New York at Buffalo, Buffalo, United States,
P. D. Spanos, State Univ of New York at Buffalo, Buffalo, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability

Abstract:

A new technique is presented for the solution of nonlinear random vibration problems. The technique is based on a spectral expansion of the random excitation and of the random response using the Karhunen-Loeve and the Polynomial Chaos representations, respectively. The analytical results are found in good agreement with pertinent Monte Carlo simulation data over a wide range of nonlinearities.

Subject Headings: Vibration | Polynomials | Nonlinear analysis | Monte Carlo method | Excitation (physics) | Data analysis | Probability

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