Nonlinear bending analysis was performed of magnetoelectroelastic (MEE) composite plates under a mechanical and magnetoelectric (ME) load by using von Karman’s nonlinear geometric equation and the higher order shear deformation theory (HSDT). Nonlinear higher order partial differential equations for MEE plates were derived by using Hamiltonian equilibrium equation. The MEE plate is considered to have clamped boundary condition. The nonlinear high-order equations can turn into algebraic equations through Galerkin method. Then the effects of scale effect of MEE plate (for instance, the aspect ratio) and external load (for instance, mechanical) on the displacement of the considered MEE plate were investigated.

利用冯·卡曼（von Karman）的非线性几何方程式和高阶剪切变形理论（HSDT），对在机械和磁电（ME）载荷下的磁电弹性（MEE）复合板进行了非线性弯曲分析。利用哈密顿平衡方程，推导了MEE板的非线性高阶偏微分方程。MEE板被认为具有限定的边界条件。非线性高阶方程可以通过Galerkin方法转化为代数方程。然后研究了MEE板的比例效应（例如长宽比）和外部载荷（例如机械力）对所考虑的MEE板位移的影响。