功能梯度圆板的轴对称自由振动

王云; 徐荣桥; 丁皓江

doi:10.3879/j.issn.1000-0887.2009.09.001

功能梯度圆板的轴对称自由振动

doi: 10.3879/j.issn.1000-0887.2009.09.001

浙江大学土木系,紫金港校区,杭州 310058;2.杭州电子科技大学机械工程学院,杭州 310018

基金项目: 国家自然科学基金资助项目(10872180;10725210)

详细信息

作者简介:
王云(1970- ),女,山东肥城人,副教授;徐荣桥(1972- ),男,浙江慈溪人,副教授,博士(联系人.Tel/Fax:+86-571-88208478;E-mail:xurongqiao@zju.edu.cn).

中图分类号: O343.1
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出版历程
- 收稿日期: 2009-04-26
- 修回日期: 2009-06-30
- 刊出日期: 2009-09-15

Free Axisymmetric Vibration of FGM Circular Plates

Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou 310058, P. R. China;

摘要

摘要: 基于三维弹性理论，用直接位移法求解了横观各向同性功能梯度圆板的轴对称自由振动，其材料特性沿板厚度方向按指数形式变化．在弹性简支和刚性滑动两种边界条件下得到了三维精确解，即它逐点满足基本方程和边界条件．最后给出了数值算例并与以前的工作进行了对比．该方法也可推广应用于材料特性沿板厚度任意变化情形．
- 功能梯度材料 /
- 圆板 /
- 自由振动 /
- 轴对称
Abstract: Based on threedimensional theory,a direct displacement method was presented to investigate free axisymmetric vibration of transversely isotropic circular plates,whose material is functionally graded and its properties obey the exponential law along the thickness of the plate.For two boundary conditions the solution satisfies all basic equations and corresponding boundary condition at every point and thus is three-dimensionally exact.Numerical examples were finally tabulated and compared with those of previous works.The present method can also be extended to the case of arbitrary distribution of the material properties along the thickness of the plate.
- functionally graded material (FGM) /
- circular plate /
- free vibration /
- axisymmetry

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参考文献(9)

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