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Equivalent linearization for systems subjected to non-stationary random excitation

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Publication:1137441
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DOI10.1016/0020-7462(80)90001-3zbMath0428.73084OpenAlexW2065188298MaRDI QIDQ1137441

A. B. Mason jun., Wilfred D. Iwan

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0020-7462(80)90001-3


zbMATH Keywords

method of equivalent linearizationconditions for minimum equation differencedeterministic non- linear ordinary differential equationresponse of non-linear discrete systems


Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Random vibrations in dynamical problems in solid mechanics (74H50)


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Some reduction methods of problems of nonlinear stochastic dynamics ⋮ A variational approach to stochastic nonlinear problems ⋮ Stochastic equivalent linearization algorithms and their applicability to hysteretic systems ⋮ Nonstationary probability densities of system response of strongly nonlinear single-degree-of-freedom system subject to modulated white noise excitation ⋮ Methods of nonlinear random vibration analysis. ⋮ Approximate Gaussian representation of evolution equations. I: Single degree of freedom nonlinear equations



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