%0 Conference Proceedings
%T The probabilistic solution of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise
%A Er G.K.
%A Iu V.P.
%K Fokker-planck-kolmogorov equation
%K Probabilistic solution
%K State-space-split method
%K Von kármán plate
%X The 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.
%8 2015
%D 2015
%J Procedia IUTAM
%P 24-33
%V 13
%@ 22109838
%B Procedia IUTAM
%U http://repository.um.edu.mo/handle/10692/13029
%W UM