Comparison between equivalent linearization and Gaussian closure for random vibration analysis of several nonlinear systems

DOI10.1016/0020-7225(90)90039-LzbMath0721.70019OpenAlexW2021024983WikidataQ57447531 ScholiaQ57447531MaRDI QIDQ2641126

H. Davoodi, Mohammad Noori

Publication date: 1990

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90039-l

zbMATH Keywords

Monte Carlo simulationexact solutionsDuffing oscillatorrandom vibration analysiscovariance matrix equationscumulant-neglect closure schemegeneral hysteretic systemMethod of equivalent linearizationResponse statisticsset-up spring

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Random vibrations in mechanics of particles and systems (70L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

An approach to the problem of closure in nonlinear stochastic mechanics ⋮ A new fractional moment equation method for the response prediction of nonlinear stochastic systems

Cites Work

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• A comparison between non-gaussian closure and statistical linearization techniques for random vibration of a nonlinear oscillator

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