Resonance analysis of the finite-damping nonlinear vibration system under random disturbances

DOI10.1016/S0997-7538(02)01237-8zbMath1027.74032OpenAlexW2008578120MaRDI QIDQ1870716

Yunbo Duan, Rubin Wang, Zhikang Zhang

Publication date: 14 May 2003

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(02)01237-8

zbMATH Keywords

resonancerandom disturbancesoff-resonanceapproximate probability densitydeterministic excitationfinite-dampling nonlinear vibration system

Mathematics Subject Classification ID

Random vibrations in dynamical problems in solid mechanics (74H50)

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Cites Work

• A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations
• Response statistics of nonlinear systems to combined deterministic and random excitations
• Stochastic averaging: An approximate method of solving random vibration problems
• Response of a non-linear system with strong damping to multifrequency excitations
• ASYMPTOTIC SOLUTION OF A CLASS OF NON-LINEAR NON-AUTONOMOUS SYSTEMS WITH LARGE DAMPING UNDER MULTIPLE EXTERNAL PERIODIC FORCES
• Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
• Stochastic Averaging of Quasi-Integrable Hamiltonian Systems
• Exact stationary solutions of the Fokker-Planck equation for nonlinear oscillators under stochastic parametric and external excitations

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