Nonlinear analysis of rectangular magnetoelectroelastic moderately thick laminated plates under multi-field coupling loads

Abstract

Based on the first-order shear deformation theory (FSDT) and combined with von Karman’s nonlinear strain–displacement relationship, the nonlinear dynamic model of the rectangular magnetoelectroelastic (MEE) laminated plate is established. Then the nonlinear motion control equations of the structure are derived by using Hamilton principle. Through introducing dimensionless parameters, these equations are processed by converted into the dimensionless form. Given simply supported boundary conditions, the nonlinear higher-order equations in the governing equations are transformed into algebraic expression by the Galerkin method. In the numerical examples, the influences of size factors, temperature variation, stacking sequence and external loads on the deflection of the MEE laminated plate are studied. In addition, the distribution rule of electric and magnetic potential along the thickness direction of the MEE laminated plate with two different stacking sequences is given.