Application of Hamiltonian system for two-dimensional transversely isotropic piezoelectric media

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.