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Indexed by:期刊论文

Date of Publication:2008-06-18

Journal:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals:SCIE、EI

Volume:74

Issue:12

Page Number:1848-1871

ISSN No.:0029-5981

Key Words:3D symplectic expansion; Hamiltonian system; transversely isotropic; piezoelectric media

Abstract:The symplectic series expansion method is extended to three-dimensional problem for transversely isotropic piezoelectric media. The governing equations are first derived in Hamiltonian form, and symplectic eigensolutions are directly obtained through analytical method. All solutions of the problem are reduced to finding eigenvalues and eigensolutions. The classical St Venant solutions are described by zero-eigensolutions, and the localized solutions are depicted by non-zero-eigensolutions. Symplectic relationships of the orthonormalization are used, end conditions are rewritten by eigensolutions, and a numerical scheme is formed analytically. Some numerical examples are given. Copyright (c) 2007 John Wiley & Sons, Ltd.