A new stationary PDF approximation for nonlinear oscillators

DOI10.1016/S0020-7462(99)00048-7zbMath1006.70023WikidataQ59760603 ScholiaQ59760603MaRDI QIDQ1609331

Costas Papadimitriou, James L. Beck, David C. Polidori

Publication date: 15 August 2002

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

zbMATH Keywords

momentsDuffing oscillatorrandom vibrationnonlinear dampingweighted normstationary probability density functionadditive stochastic white noise excitationbest probability density functionFokker-Planck-Kolmogorov equation errormean outcrossing ratesnonlinear single-degree-of-freedom dynamical systemsrolling motion of ship

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05)

Related Items (4)

Dual approach to local mean square error criterion for stochastic equivalent linearization ⋮ Nonlinear damping and quasi-linear modelling ⋮ Global-local mean square error criterion for equivalent linearization of nonlinear systems under random excitation ⋮ On the determination of nonlinear response distributions for oscillators with combined harmonic and random excitation

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