The Probabilistic solution of the plate with simple-supported and stretched boundary and uniform Load being Gaussian white noise

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	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.
	2015-06-01
Source Publication	Dynamical Analysis of Multibody Systems with Design Uncertainties
Publisher	Elsevier
Pages	24-33
Abstract	The nonlinear random vibration of the simply-supported rectangular isotropic von K´arm´an 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.
Keyword	Probabilistic solution von Karman plate Fokker-Planck-Kolmogorov equation State-space-split method
Language	英語English
ISBN	ISSN 22109838
The Source to Article	PB_Publication
PUB ID	14825
Document Type	Book chapter
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding Author	Er, G. K.
Recommended Citation 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[M]. Dynamical Analysis of Multibody Systems with Design Uncertainties:Elsevier, 2015, 24-33.
APA	Er, G. K.., & Iu, V. P. (2015). The Probabilistic solution of the plate with simple-supported and stretched boundary and uniform Load being Gaussian white noise. Dynamical Analysis of Multibody Systems with Design Uncertainties, 24-33.

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