A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media  

作　　者：徐新生 顾佥 梁以德 郑建军 

机构地区：[1]State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China [2]Department of Building and Construction, City University of Hong Kong, Hong Kong, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第9期922-927,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project (Nos. 19902014 and 10272024) supported by the NationalNatural Science Foundation of China

摘　　要：This paper reports establishment of a symplectic system and introduces a 3D sub-symplectic structure for transversely isotropic piezoelectric media. A complete space of eigensolutions is obtained directly. Thus all solutions of the problem are re- duced to finding eigenvalues and eigensolutions, which include zero-eigenvalue solutions and all their Jordan normal form of the corresponding Hamiltonian matrix and non-zero-eigenvalue solutions. The classical solutions are described by zero-eigen- solutions and non-zero-eigensolutions show localized solutions. Numerical results show some rules of non-zero-eigenvalue and their eigensolutions.This paper reports establishment ofa symplectic system and introduces a 3D sub-symplectic structure for transversely isotropic piezoelectric media. A complete space of eigensolutions is obtained directly. Thus all solutions of the problem are reduced to finding eigenvalues and eigensolutions, which include zero-eigenvalue solutions and all their Jordan normal form of the corresponding Hamiltonian matrix and non-zero-eigenvalue solutions. The classical solutions are described by zero-eigensolutions and non-zero-eigensolutions show localized solutions. Numerical results show some rules of non-zero-eigenvalue and their eigensolutions.

关 键 词：Symplectic method Hamiltonian system Transverse isotropic Piezoelectric media EIGENSOLUTION 

分 类 号：TB39[一般工业技术—材料科学与工程]