中文摘要：

研究在横向载荷作用下线性变厚度正交对称铺设压电层合矩形板的非线性弯曲问题．基于VonKarman非线性板理论和线性压电理论，建立线性变厚度正交对称铺设压电层合矩形板的无量纲非线性平衡微分方程，且应用Galerkin截断方法进行求解．算例中，具体讨论了不同坡度、边长比、控制电压和压电层位置对四边简支正交对称铺设压电层合矩形板的非线性载荷一挠度特征曲线的影响．

英文摘要：

The nonlinear bending of symmetric cross -ply laminated piezoelectric rectangular plates with linearly varying thickness under the action of transverse load is investigated. On the basis of the Von Karman theory and linear piezoelectric theory, the dimensionless nonlinear equilibrium differential equations for the symmetric cross -ply laminated piezoelectric： rectangular plates with linearly varying thickness are established and solved by the Galerkin truncation method. In the numerical results, the influences of different taper constant, aspect ratio, applied voltage and various locations of piezoelec- tric layers on the nonlinear load - deflection characteristic curves of the simply supported symmetric cross -ply laminated piezoelectric rectangular plates are discussed.