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ANALYSIS ON NONLINEAR DYNAMICS OF FUNCTIONALLY GRADED MATERIAL pLATES WITH THE BOUNDARY CONDITIONS OF SFSF

ANALYSIS ON NONLINEAR DYNAMICS OF FUNCTIONALLY GRADED MATERI...

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The Third International Conference on Dynamics, Vibration and Control

作者： Y.X.Hao~1 W.Zhang~2 and J.Yang~3 1 College of Mechanical Engineering Beijing Information Science and Technology University Beijing 100192 p.R.China 2 College of Mechanical Engineering Beijing University of Technology Beijing 100142 p.R.China 3 School of Aerospace Mechanical and Manufacturing Engineering RMIT University pO Box 71 Bundoora VIC 3083 Australia.

＜正＞Functionally graded materials（FGMs） are considered to be advanced composite materials in high temperature and vibration *** the increasing use of FGMs,it is important to understand the nonlinear vibration behavior of FGM *** a few studies in this area have been *** and reddy analyzed the nonlinear static and dynamic response of functionally graded ceramic-metal plates in a steady temperature field based on first order shear deformation plate *** et *** out finite element analysis of nonlinear free vibration of both rectangular and skew FGM *** et *** the large amplitude vibration of pre-stressed FGM plates composed of a functionally graded layer and two surface-mounted piezoelectric actuator *** and Shen obtained the nonlinear frequencies and dynamic responses of FGM plates using an improved perturbation ***,Fung and Chen derived the governing differential equations for an imperfect functionally graded plate by the average stress method to account for the effect of arbitrary initial stresses on the nonlinear vibration behavior of imperfect FGM *** parametric resonance of functionally graded rectangular plates under harmonic in-plane loading was investigated by Ng et al..Using a higher-order shear and normal deformable plate theory（HOSNDpT） and a meshless local petrov-Galerkin（MLpG） method,Qian et *** the static deformation,and free and forced vibrations of a thick rectangular functionally graded *** and Batra gave a three-dimensional exact solution for the linear free and forced vibration of simply supported FGM rectangular *** et *** a nonlinear dynamic analysis of a simply supported FGM rectangular plate subjected to transversal and in-plane *** resonant case considered in their work is 1:1 internal resonance and principal parametric *** asymptotic perturbation method is used to obtain four-d

关键词： Functionally graded materials Rectangular plates asymptotic perturbation method chaotic motion Higher-order theory

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