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A technique for obtaining approximate solutions in Gaussian equivalent linearization

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Publication:1965198
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DOI10.1016/S0045-7825(98)00136-4zbMath0941.70020MaRDI QIDQ1965198

Nguyen Dong Anh, Werner O. Schiehlen

Publication date: 7 August 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)


zbMATH Keywords

Duffing oscillatorvan der Pol oscillatorGaussian equivalent linearizationmean square criterionerror sample functionzero mean Gaussian random excitation


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in mechanics of particles and systems (70L05)


Related Items

A dual criterion of equivalent linearization method for nonlinear systems subjected to random excitation ⋮ A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation



Cites Work

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  • Higher order linearization in nonlinear random vibration
  • On loss of accuracy and non-uniqueness of solutions generated by equivalent linearization and cumulant-neglect methods
  • Approximate analysis of non-linear stochastic systems
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