点击次数：

论文类型：期刊论文

发表时间：2011-02-28

发表刊物：JOURNAL OF SOUND AND VIBRATION

收录刊物：SCIE、EI

卷号：330

期号：5

页面范围：1005-1017

ISSN号：0022-460X

摘要：The present paper deals with the natural vibration of thin circular and annular plates using Hamiltonian approach. It is based on the conservation principle of mixed energy and is constructed in a new symplectic space. A set of Hamiltonian dual equations with derivatives with respect to the radial coordinate on one side of the equations and to the angular coordinate on the other side are obtained by using the variational principle of mixed energy. The separation of variables is employed to solve Hamiltonian dual equations of eigenvalue problem. Analytical frequency equations are obtained based on different cases of boundary conditions. The natural frequencies are the roots of the frequency equations and corresponding mode functions are in terms of the dual variables q(1)(r, theta). Three basic edge-constraint cases for circular plates and nine edge-constraint cases for annular plates are calculated and the results are compared well with existing ones. (C) 2010 Published by Elsevier Ltd.