| Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media |
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| 作者姓名： | 顾佥 徐新生 梁以德 |
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| 作者单位： | 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 |
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| 摘 要： | INTRODUCTION The traditional method of solving solutions of the transversely isotropic piezoelectric media belongs to Lagrange formulation so that the method of sepa- ration of variables cannot be applied due to the in- volvement of high order partial differentiation in the Euclidian space and is difficult for some problems. New theoretical system or method is a key for the investigation of piezoelectric materials. Since the foundational equations (Sosa and Pak, 1990) in transversely iso…
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| 关 键 词： | Hamiltonian系统 压电介质 本征解 偶对法 二维等方性 |
| 收稿时间： | 2005-02-12 |
| 修稿时间： | 2005-05-17 |
Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media |
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| Gu Qian,Xu Xin-sheng,Y. T. Leung Andrew.Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media[J].Journal of Zhejiang University Science,2005,6(9):915-921. |
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| Authors: | Gu Qian Xu Xin-sheng Y T Leung Andrew |
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| Institution: | (1) State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, China;(2) Department of Building and Construction, City University of Hong Kong, Hong Kong, China |
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| Abstract: | 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 ofnon-zero-eigenvalues and their eigensolutions are given by the numerical results. |
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| Keywords: | Hamiltonian system Piezoelectric media Eigensolution |
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