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论文类型：期刊论文

发表时间：2008-06-18

发表刊物：INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

收录刊物：SCIE、EI

卷号：74

期号：12

页面范围：1848-1871

ISSN号：0029-5981

关键字：3D symplectic expansion; Hamiltonian system; transversely isotropic; piezoelectric media

摘要：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.