Nonstationary Response Analysis of a Duffing Oscillator by the Wiener-Hermite Expansion Method

DOI10.1115/1.3173033zbMath0615.73106OpenAlexW1972303876MaRDI QIDQ4723451

Goodarz Ahmadi, Ismail I. Orabi

Publication date: 1987

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3173033

zbMATH Keywords

Duffing oscillatorGaussian white noisenonlinear structuresWiener-Hermite functional series expansion methodnonstationary responserandom excitationscoupled integrodifferential equationsnonstationary mean-square responses

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Random vibrations in dynamical problems in solid mechanics (74H50) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Probabilistic methods, stochastic differential equations (65C99)

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