An equivalent polynomial approximation technique in nonlinear structural dynamics

DOI10.1007/BF00835658zbMath0856.70016OpenAlexW2015070245MaRDI QIDQ1904922

Sho-Ichiro Kusumoto, Zhikang Zhang, Rubin Wang

Publication date: 14 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf00835658

zbMATH Keywords

approximate solutionsGaussian white noisenonlinear stochastic differential equationjoint density function

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05)

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A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations

Cites Work

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• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• On exact stationary solutions of equivalent nonlinear stochastic systems
• On the response of the Van der Pol oscillator to white noise excitation
• A Statistical Non-linearization Technique In Structural Dynamics