Dual approach to local mean square error criterion for stochastic equivalent linearization

DOI10.1007/s00707-012-0751-8zbMath1356.70035OpenAlexW2083025762MaRDI QIDQ359485

L. D. Viet, Le Xuan Hung, Nguyen Dong Anh

Publication date: 12 August 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-012-0751-8

zbMATH Keywords

Gaussian equivalent linearization (GEL)local mean square error criterion (LOMSEC)

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Random operators and equations (aspects of stochastic analysis) (60H25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Global-local mean square error criterion for equivalent linearization of nonlinear systems under random excitation ⋮ Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses ⋮ A weighted dual criterion of the equivalent linearization method for nonlinear systems subjected to random excitation ⋮ An equivalent linearization method for nonlinear Van der Pol oscillator subjected to random vibration using orthogonal functions

Cites Work

• Application and extension of the stochastic linearization by Anh and di Paola
• Higher order linearization in nonlinear random vibration
• A new stationary PDF approximation for nonlinear oscillators
• A dual criterion of equivalent linearization method for nonlinear systems subjected to random excitation
• Linearization methods for stochastic dynamic systems.
• On the response of the Van der Pol oscillator to white noise excitation
• An improved criterion of Gaussian equivalent linearization for analysis of non-linear stochastic systems
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