Paper Title:
An Integral Equation Method for Free Vibration of Circular Plate with Concentrated Mass at Arbitrary Positions
  Abstract

The paper concerns on the free vibrations of circular plate with arbitrary number of the mounted masses at arbitrary positions by using the integral equation method. A set of complete systems of orthogonal functions, which is constructed by Bessel functions of the first kind, is used to construct the Green's function of circular plates firstly. Then the eigenvalue problem of free vibration of circular plate carrying oscillators and elastic supports at arbitrary positions is transformed into the problem of integral equation by using the superposition theorem and the physical meaning of the Green’s function. And then the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order. Numerical examples are presented.

  Info
Periodical
Advanced Materials Research (Volumes 255-260)
Edited by
Jingying Zhao
Pages
1830-1835
DOI
10.4028/www.scientific.net/AMR.255-260.1830
Citation
G. Cheng, Q. Cheng, W. D. Wang, "An Integral Equation Method for Free Vibration of Circular Plate with Concentrated Mass at Arbitrary Positions", Advanced Materials Research, Vols. 255-260, pp. 1830-1835, 2011
Online since
May 2011
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Price
$32.00
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