Exact axisymmetric solutions for laminated transversely isotropic piezoelectric circular plate (Ⅰ)——Exact solutions for piezoelectric circular plate

作     者：丁皓江 徐荣桥 国凤林 

作者机构：Department of Civil Engineering Zhejiang University Hangzhou China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：1999年第42卷第4期

页      面：388-395页

核心收录：

学科分类：0810[工学-信息与通信工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 070205[理学-凝聚态物理] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 19572059) the Research Laboratory of Solid Mechanics of State Education Commission of China 

主　　题：transversely isotropy axisymmetric deformation exact solution piezoelectric circular plate. 

摘      要：Based on three-dimensional elastic equations for piezoelectric materials, the state equations for piezoelectric circular plate under axisymmetric deformation are derived. Applying Hankel transform to them and letting the free boundary terms resulting from Hankel transform be zero, a set of ordinary differential equations with constant coefficients and associated boundary conditions are obtained. Furthermore, two exact solutions corresponding to generalized rigid slipping and generalized elastic simple support are deduced. Then, the governing equations obtained reduce to equations for axisymmetric problem of transversely isotropic circular plate. Under the two types of boundary conditions of elastic simple support and rigid slipping, exact solutions are derived. Finally, numerical results are presented and applicability of the classical plate theory is discussed.