Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev-Ritz method

被引:138
作者
Dong, C. Y. [1 ]
机构
[1] Beijing Inst Technol, Sch Sci, Dept Mech, Beijing 100081, Peoples R China
关键词
functionally graded annular plates; Chebyshev-Ritz method; free vibration;
D O I
10.1016/j.matdes.2008.03.001
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The aim of this paper is to investigate three-dimensional free vibration of functionally graded annular plates with different boundary conditions using the Chebyshev-Ritz method, in which a set of duplicate Chebyshev polynomial series multiplied by the boundary function satisfying the boundary conditions are chosen as the trial functions of the displacement components. Two kinds of variations of material properties in the thickness direction of the plates are considered. Convergence of the Chebyshev-Ritz method is checked. Numerical results are given and compared with the previously published solutions. (C) 2008 Elsevier Ltd. All rights reserved.
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页码:1518 / 1525
页数:8
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