具有叉指式电极的1-3型压电复合材料层合板力电耦合行为的三维精确分析

THREE DIMENSIONAL ANALYSIS ON THE ELECTROME CHANICAL COUPLING OF LAMINATES 1-3 PIEZOCOMPOSITE WITH THE INTERDIGITATED ELECTRODES

基于三维弹性理论和压电理论,导出了含有1-3型压电复合材料层的有限长矩形层合简支板的静力平衡方程和边界条件,给出了该层合板在叉指式电极和外力共同作用下力电耦合特性的三维精确解.数值算例的计算结果与有限元解进行了对比,取得了很好的一致性.研究了压电矩阵各向异性和刚度矩阵各向异性以及电势等因素对其挠曲面扭率最大值的影响.数值结果表明层合板扭率最大值的绝对值随压电矩阵各向异性系数Rd的增大而增大并随刚度矩阵各向异性系数Rc的减小而增加.

In this paper, an exact analysis for a rectangular composite laminated plate consisting of 1-3 piezoelectric fiber-reinforced composite layers and orthotropic elastic composite layers with Interdigitated Electrodes （IDE） is presented from 3D elasticity and piezoelectricity. The solution of the derived governing differential equations is obtained through the power series expansion and Fourier expansion methods. An illustrative analysis is carried out to investigate the influence of the stiffness anisotropy, piezoelectric property and electric field on the maximal twist curvature of the laminated plate with 1-3 active fiberreinforced composite layer. The numerical results show that, the absolute value of the maximal shear curvature gradually increases as the stiffness anisotropy and the piezoelectric property increase.