UM
The probabilistic solution of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise
Er G.K.; Iu V.P.
2015
Source PublicationProcedia IUTAM
Volume13
Pages24-33
AbstractThe nonlinear random vibration of the simply-supported rectangular isotropic von Kármán plate with in-plane stretched edges and excited by uniformly distributed Gaussian white noise is analyzed. The equation of motion of the plate with large deflection is a nonlinear partial differential equation in space and time. The multi-degree-of-freedom nonlinear stochastic dynamical system can be formulated by applying the Galerkin's method to the nonlinear partial differential equation. The probabilistic solution of the multi-degree-of-freedom nonlinear stochastic dynamical system is governed by the Fokker-Planck-Kolmogorov equation. The state-space-split method is used to make the Fokker-Planck-Kolmogorov equation in high dimensional space reduced to the Fokker-Planck-Kolmogorov equations in 2-dimensional space. Then the exponential polynomial closure method is used to solve the reduced Fokker-Planck-Kolmogorov equations in 2-dimensional space for the probability density function of the responses of the plate with moderately large deflection.
KeywordFokker-planck-kolmogorov equation Probabilistic solution State-space-split method Von kármán plate
DOI10.1016/j.piutam.2015.01.008
URLView the original
Language英語
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Document TypeConference paper
CollectionUniversity of Macau
AffiliationUniversidade de Macau
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GB/T 7714
Er G.K.,Iu V.P.. The probabilistic solution of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise[C],2015:24-33.
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