A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media

Author(s)
Author(s)
Xu, X.-S.
Gu, Q.
Zheng, J.-J.
Date Issued
2005
Publisher
Springer
Journal
Journal of Zhejiang University SCIENCE A
Volume
6
Issue
9
Start page
922
End page
927
Abstract
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 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 solution. 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.
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DOI
SFU Affiliated Publication
No
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