Nonlinear dynamics of FGM cantilever plate with piezoelectric layers

To solve problem of the nonlinear dynamics of FGM cantilever plate with piezoe1ectric layers,the governing equations of FGM plate are proposed,based on von-Karman theory and Reddy's third-order shear deformation plate theory.FGM cantilever plate with piezoe1ectric layers embedded(FGM/P/FGM) and covering the surface(P/FGM/P) is discussed,including thermal and mechanical effects.Galerkin method is used to reduce the nonlinear partial differential equations to ordinary non-linear ones;Runge-kutta numerical simulation is used to solve and analyze the equations.The influences of control voltage and different piezoe1ectric layers models on the nonlinear vibration are discussed,and control voltages have a more significant influence on amplitude of(P/FGM/P) plate.