| A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media |
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| 作者姓名： | 徐新生 顾佥 梁以德 郑建军 |
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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，Department of Building and Construction，City University of Hong Kong，Hong Kong，China |
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| 摘 要： | INTRODUCTION Since the phenomenon of piezoelectricity in natural crystals was discovered in 1880, it has been applied in many fields, such as smart structure, sensing devices and active control, because of its special properties. Combining electrical behavior with mechanical deformation is the special property which attracted great interest of researchers. Many models have been developed for studying piezoelec- tric effects. Dunn and Wienecke (1996) used Green’s functions for transverse…
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| 关 键 词： | 偶对法 本征解 Hamiltonian系统 压电介质 横切等方性 |
| 收稿时间： | 2005-02-18 |
| 修稿时间： | 2005-06-10 |
A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media |
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| Xu Xin-sheng,Gu Qian,Y. T. Leung Andrew,Zheng Jian-jun.A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media[J].Journal of Zhejiang University Science,2005,6(9):922-927. |
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| Authors: | Xu Xin-sheng Gu Qian Y T Leung Andrew Zheng Jian-jun |
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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 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. |
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| Keywords: | Symplectic method Hamiltonian system Transverse isotropic Piezoelectric media Eigensolution |
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