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CLC number: O343.2; O343.8; TB39
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media
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XU Xin-sheng, GU Qian, LEUNG Andrew Y. T., ZHENG Jian-jun. A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media[J]. Journal of Zhejiang University Science A, 2005, 6(9): 922-927.
@article{title="A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media",
author="XU Xin-sheng, GU Qian, LEUNG Andrew Y. T., ZHENG Jian-jun",
journal="Journal of Zhejiang University Science A",
volume="6",
number="9",
pages="922-927",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0922"
}
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%T A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media
%A XU Xin-sheng
%A GU Qian
%A LEUNG Andrew Y. T.
%A ZHENG Jian-jun
%J Journal of Zhejiang University SCIENCE A
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%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0922
TY - JOUR
T1 - A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media
A1 - XU Xin-sheng
A1 - GU Qian
A1 - LEUNG Andrew Y. T.
A1 - ZHENG Jian-jun
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 9
SP - 922
EP - 927
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0922
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 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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