Free axisymmetric vibration of FGM circular plates

被引：22
|
作者：
Wang, Yun [1 ,2 ]
Xu, Rong-qiao [1 ]
Ding, Hao-jiang [1 ]
机构：
[1] Zhejiang Univ, Dept Civil Engn, Hangzhou 310058, Zhejiang, Peoples R China
[2] Hangzhou Dianzi Univ, Sch Mech Engn, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 09期
基金：
中国国家自然科学基金;
关键词：
functionally graded material (FGM); circular plate; free vibration; axisymmetry;
D O I：
10.1007/s10483-009-0901-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the three-dimensional theory, this work presents a direct displacement method to investigate the free axisymmetric vibration of transversely isotropic circular plates, whose material is functionally graded and properties obey the exponential law along the thickness direction of the plate. Under two boundary conditions, the solution satisfies all basic equations and the corresponding boundary condition at every point. Thus, it is three-dimensional exact. Numerical examples are presented and compared with previous works. The present method can also be extended to the case of arbitrary distribution of the material properties along the thickness direction of the plate.
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页码：1077 / 1082
页数：6
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