A dual criterion of equivalent linearization method for nonlinear systems subjected to random excitation

DOI10.1007/s00707-011-0582-zzbMath1332.70028OpenAlexW2067087831MaRDI QIDQ2392280

N. N. Linh, Nguyen Dong Anh, Nguyen Ngoc Hieu

Publication date: 1 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00707-011-0582-z

zbMATH Keywords

mean-square response

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05)

Related Items (9)

Nonlinear random vibration of functionally graded nanobeams based on the nonlocal strain gradient theory ⋮ A dual criterion of stochastic linearization method for multi-degree-of-freedom systems subjected to random excitation ⋮ Dual approach to local mean square error criterion for stochastic equivalent linearization ⋮ Dynamic reliability analysis of nonlinear structures using a Duffing-system-based equivalent nonlinear system method ⋮ 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 ⋮ Improving the accuracy of SOD for modal parameters estimation of damped systems

Cites Work

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• Application and extension of the stochastic linearization by Anh and di Paola
• Generalization of the equivalent linearization method for nonlinear random vibration problems
• A technique for obtaining approximate solutions in Gaussian equivalent linearization
• Linearization methods for stochastic dynamic systems.
• An improved criterion of Gaussian equivalent linearization for analysis of non-linear stochastic systems
• Semilinear Random Vibrations in Discrete Systems

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