Reliability function determination of nonlinear oscillators under evolutionary stochastic excitation via a Galerkin projection technique

DOI10.1007/s11071-018-4564-8zbMath1439.35594OpenAlexW2800518374MaRDI QIDQ785296

H. Vanvinckenroye, Vincent Denoël, Ioannis A. Kougioumtzoglou

Publication date: 6 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4564-8

zbMATH Keywords

Galerkin schemenonlinear oscillatorfirst-passage timebackward Kolmogorov equationreliability assessmentevolutionary excitation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

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Path integral approach via Laplace's method of integration for nonstationary response of nonlinear systems ⋮ System reliability analyses of static and dynamic structures via direct probability integral method

Cites Work

• Responses of Duffing oscillator with fractional damping and random phase
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• Stochastic Dynamics of Structures
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