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FGM圆环板面内自由振动的DQM求解
引用本文:滕兆春,蒲育,房晓林. FGM圆环板面内自由振动的DQM求解[J]. 北京理工大学学报, 2014, 34(12): 1211-1216,1245
作者姓名:滕兆春  蒲育  房晓林
作者单位:兰州理工大学理学院,甘肃,兰州 730050;兰州理工大学理学院,甘肃,兰州 730050;兰州理工大学理学院,甘肃,兰州 730050
基金项目:国家自然科学基金资助项目(11372123)
摘    要:基于二维线弹性理论,假定材料物性沿圆环板的径向按照幂律梯度分布,建立了FGM薄圆环板面内自由振动的运动微分方程,采用微分求积法数值研究了FGM圆环板面内自由振动的量纲一频率特性,并与各向同性材料圆环板面内自由振动的量纲一频率进行了比较,说明本文的分析方法有效. 结果表明,不同边界条件,FGM梯度指标以及FGM圆环板内、外半径比对量纲一频率均有影响,其计算结果和分析方法可供设计参考. 

关 键 词:FGM圆环板  面内自由振动  量纲一频率  微分求积法
收稿时间:2012-12-29

In-Plane Free Vibration Analysis for FGM Annular Plates by Differential Quadrature Method
TENG Zhao-chun,PU Yu and FANG Xiao-lin. In-Plane Free Vibration Analysis for FGM Annular Plates by Differential Quadrature Method[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2014, 34(12): 1211-1216,1245
Authors:TENG Zhao-chun  PU Yu  FANG Xiao-lin
Affiliation:College of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Abstract:Based on the two-dimensional linear elastic theory and on the assumption that the material properties vary with power law in the radial direction of annular plates, a differential motion equation of in-plane free vibration was established for the functionally graded material(FGM)thin annular plates. With the differential quadrature method (DQM), the dimensionless frequency parameters of in-plane free vibration of the FGM annular plates were investigated numerically. Compared with the dimensionless frequency of isotropic annular plates, the formulations presented in this paper were validated. The results show that the different boundary condition, material property graded index and the inner to outer radial ratio of the FGM annular plates affect on the dimensionless frequency parameters. The results and the formulations will be a reference for design.
Keywords:functionally graded material (FGM) annular plates  in-plane free vibration  dimensionless frequency  differential quadrature method (DQM)
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