Application of the Chebyshev-Fourier pseudospectral method to the eigenvalue analysis of circular Mindlin plates with free boundary conditions

被引：5
|
作者：
Lee, J [1 ]
机构：
[1] Hongik Univ, Dept Mechano Informat, Yeonki Kun 339701, Choongnam, South Korea
来源：
KSME INTERNATIONAL JOURNAL | 2003年 / 17卷 / 10期
关键词：
eigenvalue; Chebyshev-Fourier pseudospectral method; circular Mindlin plate;
D O I：
10.1007/BF02982325
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
An eigenvalue analysis of the circular Mindlin plates with free boundary conditions is presented. The analysis is based on the Chebyshev-Fourier pseudospectral method. Even though the eigenvalues of lower vibration modes tend to convergence more slowly than those of higher vibration modes, the eigenvalues converge for sufficiently fine pseudospectral grid resolutions. The eigenvalues of the axisymmetric modes are computed separately. Numerical results are provided for different grid resolutions and for different thickness-to-radius ratios.
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页码：1458 / 1465
页数：8
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