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The probabilistic solutions of some nonlinear stretched beams excited by filtered white noise
Er G.K.
2013
Conference NameIUTAM Symposium on Multiscale Problems in Stochastic Mechanics
Source PublicationProcedia IUTAM
Volume6
Pages141-150
Conference DateJUN 25-29, 2012
Conference PlaceKarlsruhe Inst Technol, Karlsruhe, GERMANY
Abstract

The multi-degree-of-freedom system is formulated from the typical problem of the stretched nonlinear Euler-Bernoulli beam excited by filtered white noise. The probabilistic solution of the multi-degree-of-freedom nonlinear stochastic dynamic systems similar to that formulated from Euler-Bernoulli beam and excited by filtered white noise is obtained by the state-space-split method and exponential polynomial closure method. The way for selecting the sub-state vectors in the solution procedure with the state-space-split method is given for the discussed problem. The solution procedure with the state-space-split method is presented for the system excited by filtered white noise. Numerical results are presented. The results obtained with the state-space-split method and exponential polynomial closure method are compared with those obtained by Monte Carlo simulation and equivalent linearization method to verify the effectiveness of the state-space-split method and exponential polynomial closure method in analyzing the probabilistic solutions of the multi-degree-of-freedom nonlinear stochastic dynamic systems similar to that formulated from the stretched nonlinear Euler-Bernoulli beam.

KeywordFiltered White Noise Multi-degree-of-freedom System Nonlinear Stretched Beam Probabilistic Solution
DOI10.1016/j.piutam.2013.01.016
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMechanics
WOS SubjectMechanics
WOS IDWOS:000326281100016
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Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Er G.K.. The probabilistic solutions of some nonlinear stretched beams excited by filtered white noise[C],2013:141-150.
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