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CLC number: O343.1; O343.8; TB39

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Received: 2005-02-12

Revision Accepted: 2005-05-17

Crosschecked: 0000-00-00

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.915~921

http://doi.org/10.1631/jzus.2005.A0915


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


Author(s):  GU Qian, XU Xin-sheng, LEUNG Andrew Y.T.

Affiliation(s):  State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China; more

Corresponding email(s):   xsxu@dlut.edu.cn

Key Words:  Hamiltonian system, Piezoelectric media, Eigensolution


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GU Qian, XU Xin-sheng, LEUNG Andrew Y.T.. Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media[J]. Journal of Zhejiang University Science A, 2005, 6(9): 915~921.

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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 of non-zero-eigenvalues and their eigensolutions are given by the numerical results.

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Reference

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