NONLINEAR DYNAMICS OF A FGM PLATE WITH TWO CLAMPED OPPOSITE EDGES AND TWO FREE EDGES  

作　　者：Y.X.Hao W.Zhang J.Yang 

机构地区：[1]College of Mechanical Engineering, Beijing Information Science and Technology University [2]College of Mechanical Engineering Beijing University of Technology [3]School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, PO Box 71,Bundoora, VIC 3083, Australia

出　　处：《Acta Mechanica Solida Sinica》2014年第4期394-406,共13页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(NNSFC)(Nos.10972026,11272063,11072008 and 11290152);the Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality(PHRIHLB);the Science Foundation of Beijing Municipal Education Commission(No.cit&tcd201304112)

摘　　要：This paper deals with the nonlinear forced vibration of FGM rectangular plate with a boundary of two edges clamped opposite and the other two free. The plate is subjected to transversal and in-plane excitations. The present research treats the material properties of the FGM plates as temperature-dependent and graded continuously throughout the thickness direction, following the volume fraction of the constituent materials according to the power law. The temperature is assumed to be constant in the plane and varied only in the thickness direction of the plate. In the framework of geometrical nonlinearity the plate is modeled and the equations of motion are obtained on Hamilton＇s principle. With the help of Galerkin discretization, the nonlinear ordinary differential equations describing transverse vibration of the plate are proposed. By the numerical method, the nonlinear dynamical responses of the FGM plate with two clamped opposite and two free edges are analyzed.This paper deals with the nonlinear forced vibration of FGM rectangular plate with a boundary of two edges clamped opposite and the other two free. The plate is subjected to transversal and in-plane excitations. The present research treats the material properties of the FGM plates as temperature-dependent and graded continuously throughout the thickness direction, following the volume fraction of the constituent materials according to the power law. The temperature is assumed to be constant in the plane and varied only in the thickness direction of the plate. In the framework of geometrical nonlinearity the plate is modeled and the equations of motion are obtained on Hamilton＇s principle. With the help of Galerkin discretization, the nonlinear ordinary differential equations describing transverse vibration of the plate are proposed. By the numerical method, the nonlinear dynamical responses of the FGM plate with two clamped opposite and two free edges are analyzed.

关 键 词：functionally graded materials PLATE CLAMPED BIFURCATION 

分 类 号：TB34[一般工业技术—材料科学与工程]