Free axisymmetric vibration of FGM circular plates  

作　　者：王云 徐荣桥 丁皓江 

机构地区：[1]Department of Civil Engineering, Zijingang Campus, Zhejiang University [2]School of Mechanical Engineering, Hangzhou Dianzi University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第9期1077-1082,共6页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10872180 and10725210)

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.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.

关 键 词：functionally graded material （FGM） circular plate free vibration AXISYMMETRY 

分 类 号：O343.1[理学—固体力学]