Full Text:
<2909>
CLC number: O343.1; O343.8; TB39
On-line Access:
Received: 2005-02-12
Revision Accepted: 2005-05-17
Crosschecked: 0000-00-00
Cited: 7
Clicked: 6270
Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media
| |||||||||||||
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.
@article{title="Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media",
author="GU Qian, XU Xin-sheng, LEUNG Andrew Y.T.",
journal="Journal of Zhejiang University Science A",
volume="6",
number="9",
pages="915-921",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0915"
}
%0 Journal Article
%T Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media
%A GU Qian
%A XU Xin-sheng
%A LEUNG Andrew Y.T.
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 9
%P 915-921
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0915
TY - JOUR
T1 - Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media
A1 - GU Qian
A1 - XU Xin-sheng
A1 - LEUNG Andrew Y.T.
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 9
SP - 915
EP - 921
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0915
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.
[1] Chen, W.Q., 1999. On the application of potential theory in piezoelasticity. J. Appl. Mech., 66:808-810.
[2] Chen, W.Q., Ding, H.J., 2004. Potential theory method for 3D crack and contact problems of multi-field coupled media: A survey. J. Zhejiang Univ. SCI, 5(9):1009-1021.
[3] Ding, H.J., Chen, W.Q., 2001. Three Dimensional Problems of Piezoelectricity. Nova Science Publishers, Inc., Hunington, New York.
[4] Ding, H.J., Chen, B., Liang, J., 1996. General solutions for coupled equations for piezoelectric media. Int. J. Struct., 33:2283-2298.
[5] Ding, H.J., Xu, R.Q., Chen, W.Q., 2002. Free vibration of transversely isotropic piezoelectric circular cylindrical panels. Int. J. Mech. Sci., 44:191-206.
[6] Dunn, M.L., Wienecke, H.A., 1996. Green’s functions for transversely isotropic piezoelectric solids. Int. J. Solids Struct., 33(30):4571-4581.
[7] Sosa, H.A., Pak, Y.E., 1990. Three-dimensional eigenfunction analysis of a crack in a piezoelectric material. Int. J. Solids Struct., 26:1-15.
[8] Tzou, H.S., 1993. Piezoelectric Shells, Distributed Sensing and Control of Continua. Solid Mechanics and Its Applications 19, Kluwer Academic Publishers.
[9] Tzou, H.S., Smithmaitrie, P., Ding, J.H., 2002. Micro-sensor electromechanics and distributed signal analysis of piezo(electric)-elastic spherical shells. Mech. Systems Signal Processing, 16:185-199.
[10] Xu, X.S., Zhong, W.X., Zhang, H.W., 1997. The Saint-Venant problem and principle in elasticity. Int. J. Solids Struct., 34:2815-2827.
[11] Zhong, W.X., 1995. A New Systematic Methodology for Theory of Elasticity. Dalian University of Technology Press, Dalian (in Chinese).
Open peer comments: Debate/Discuss/Question/Opinion
<1>