标题：Integral Equation Method for Free Vibration of Annular Plates with Elastic Supports
作者：Cheng Gang; Wang Weidong; Cheng Quan
作者机构：[Cheng Gang] Shandong Jianzhu Univ, Dept Mech & Elect Engn, Jinan 250101, Shandong, Peoples R China.; [Wang Weidong; Cheng Quan] Shandong Univ, Sch 更多
会议名称：1st International Conference on Mechanical Engineering
会议日期：APR 03-04, 2011
来源：ADVANCES IN MECHANICAL ENGINEERING, PTS 1-3
关键词：vibration; Natural frequency; Integral equation method; Annular plates;; Green's function
摘要：Annular plates are commonly found in the fields of engineering. The present study is concerned with the integral equation method for the free vibrations of annular plates with elastic supports. A set of complete systems of orthogonal functions, which is constructed by Bessel functions of the first and the second kind is used to construct the Green's function of annular plates. The eigenvalue problem of free vibration of annular plates with Elastic Supports is transformed into the eigenvalue problem of integral equation. And then, the problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order. Numerical example shows the significant advantages of the present method.