Paper Title:
Integral Equation Method for Free Vibration of Annular Plates with Elastic Supports
  Abstract

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.

  Info
Periodical
Edited by
Zhou Mark
Pages
573-577
DOI
10.4028/www.scientific.net/AMM.52-54.573
Citation
G. Cheng, W. D. Wang, Q. Cheng, "Integral Equation Method for Free Vibration of Annular Plates with Elastic Supports", Applied Mechanics and Materials, Vols. 52-54, pp. 573-577, 2011
Online since
March 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: L.S. Ma, Tie Jun Wang
Abstract:Based on the first-order shear deformation theory of plate, governing equations for the axisymmetric buckling of functionally graded...
609
Authors: Shi Rong Li, Wen Shan Yu, Liang Liang Fan
Abstract:Based on Brinson’s one-dimensional thermo-constitutive law of SMA and classical plate theory, linear non-axisymmetric vibration of uniform...
1306
Authors: Bo Yang, Xin Zhang, Han Yu Yu
Abstract:England (2006) proposed a novel theory to study the bending problem of isotropic functionally graded plates subjected to transverse...
853
Authors: Xiu Yun Gao, Ru Xin Jing, Jian Hui Song
Chapter 1: Mechanic Manufacturing System and Automation
Abstract:The foundation style of such construction as liquefied oil storage tank and environmental protected reaction pool is mostly annular...
307
Authors: Shi Bo Jiang, Jie Liu, Ting Fang
Chapter 2: Measure Control Technologies and Intelligent Systems
Abstract:In view of the trial-hoisting problem in the trial-production process of big steel ladle, Simulate the standing force condition with the...
150