Exact axisymmetric solution of laminated transversely isotropic piezoelectric circular plates (Ⅱ)——Exact solution for elastic circular plates and numerical results  

作　　者：丁皓江 徐荣桥 国凤林 

机构地区：[1]Department of Civil Engineering, Zhejiang Univeristy

出　　处：《Science China(Technological Sciences)》1999年第5期470-478,共9页中国科学（技术科学英文版）

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

摘　　要：Emphasis is placed on purely elastic circular plates. Let the piezoelectric coefficients be equal to zero. Then two sets of uncoupled mechanical and electric equations are obtained and they can be solved independently. Two three-dimensional exact solutions of laminated transversely isotropic circular plate are derived under two boundary conditions, i.e. rigid slipping support and elastic simple support. For isotropic circular plates, the problem of multiple root is treated. At last, some numerical results of piezoelectric and purely elastic circular plates are presented and the applicability of classical plate theory is discussed.Emphasis is placed on purely elastic circular plates. Let the piezoelectric coefficients be equal to zero. Then two sets of uncoupled mechanical and electric equations are obtained and they can be solved independently. Two three-dimensional exact solutions of laminated transversely isotropic circular plate are derived under two boundary conditions , i.e. rigid slipping support and elastic simple support. For isotropic circular plates, the problem of multiple root is treated. At last, some numerical results of piezoelectric and purely elastic 'circular plates are presented and the applicability of classical plate theory is discussed.

关 键 词：transverse ISOTROPY axisymmetric deformation elastic circular plate EXACT solution. 

分 类 号：O482.41[理学—固体物理]