Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media  

作　　者：顾佥 徐新生 梁以德 

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,State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China,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915-921,共7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 presents a symplectic method for two-dimensional transversely isotropic piezoelectric media with the aid of Hamiltonian system. A symplectic system is established directly by introducing dual variables and a complete space of eigensolutions is obtained. The solutions of the problem can be expressed by eigensolutions. Some solutions, which are local and are neglected usually by Saint Venant principle, are shown. Curves of non-zero-eigenvalues and their eigensolutions are given by the numerical results.This paper presents a symplectic method for two-dimensional transversely isotropic piezoelectric media with the aid of Hamiltonian system. A symplectic system is established directly by introducing dual variables and a complete space of eigensolutions is obtained. The solutions of the problem can be expressed by eigensolutions. Some solutions, which are local and are neglected usually by Saint Venant principle, are shown. Curves of non-zero-eigenvalues and their eigensolutions are given by the numerical results.

关 键 词：Halniltonian system Piezoelectric media. Eigensolution 

分 类 号：TB39[一般工业技术—材料科学与工程]