Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space

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	Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space
	Er, G. K.; Iu, V. P.
	2017-09-01
Source Publication	International Journal of Structural Stability and Dynamics
ISSN	0219-4554; 1793-6764
Volume	17 Issue:9 Pages:1750097-1-1750097-18
Abstract	This paper addresses the nonlinear random vibration of a rectangular von K$\acute{a}$rm$\acute{a}$n plate excited by uniformly distributed Gaussian white noise which is fully correlated in space. The state-space-split method and exponential polynomial closure method are jointly utilized to analyze the probabilistic solutions of the plate. The computational efficiency and numerical accuracy of the methodology for analyzing the nonlinear random vibration of the plate are verified by comparing the computational effort and numerical results with those obtained by Monte Carlo simulation and equivalent linearization, respectively. Meanwhile, the convergence of the probabilistic solution in the sense of Galerkin's approximation is examined by analyzing the plate modeled as single-degree-of-freedom and multi-degree-of-freedom systems. Some phenomena are discussed after numerically studying the behaviors of probabilistic solutions of the deflection at different locations of the plate.
Keyword	Nonlinear Plate Fokker-planck-kolmogorov Equation Probabilistic Solution Mdof System
Indexed By	SCIE
Language	英語English
The Source to Article	PB_Publication
Document Type	Journal article
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding Author	Er, G. K.
Affiliation	University of Macau
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Er, G. K.,Iu, V. P.. Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space[J]. International Journal of Structural Stability and Dynamics, 2017, 17(9), 1750097-1-1750097-18.
APA	Er, G. K.., & Iu, V. P. (2017). Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space. International Journal of Structural Stability and Dynamics, 17(9), 1750097-1-1750097-18.
MLA	Er, G. K.,et al."Probabilistic solutions of simply-supported nonlinear plate excited by Gaussian white noise fully correlated in space".International Journal of Structural Stability and Dynamics 17.9(2017):1750097-1-1750097-18.

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