A functional series expansion method for response analysis of nonlinear systems subjected to random excitations

DOI10.1016/0020-7462(87)90036-9zbMath0625.73103OpenAlexW1997296546MaRDI QIDQ580038

Goodarz Ahmadi, Ismail I. Orabi

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90036-9

zbMATH Keywords

iterative procedurenonlinear systemsautocorrelationdamped Duffing oscillatormean-square responsesnon-stationary responsesseveral modulated white noisesWiener-Hermite functional series expansion methodWiener-Hermite kernel functions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (3)

The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP) ⋮ Approximate solution of a mixed nonlinear stochastic oscillator ⋮ Methods of nonlinear random vibration analysis.

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