不同边界条件功能梯度矩形板固有频率解的一般表达式

基金项目: 国家自然科学基金资助重点项目 (10432030)

详细信息

UNIFIED EXPRESSION OF NATURAL FREQUENCY SOLUTIONS FOR FUNCTIONALLY GRADED COMPOSITE RECTANGULAR PLATES UNDER VARIOUS BOUNDARY CONDITIONS

School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092,China

摘要

摘要: 采用梁函数组合法对功能梯度复合材料矩形板进行动力特性分析,提出了适用于每边任取简支、固定、自由边界之一 (包括36种边界) 、材料功能梯度沿厚度任意分布的矩形板固有频率与振型的解析解一般表达式;在简化情况下,给出了各种边界条件功能梯度矩形板固有频率解的直接显式。所给出的固有频率与振型解的结果可用于功能梯度板的动力分析,工程上应用广泛,简明实用。
- 功能梯度 /
- 复合材料 /
- 矩形板 /
- 动力特性
Abstract: The dynamic character of the FGM rectangular plate was studied by the beam function combination method. The obtained analytical solutions of natural frequency and mode shape can be applied to 36 boundary conditions and arbitrary functional grades. A unified expression of natural frequencies for FGM rectangular plates under various boundary conditions was presented by further simplification. The given natural frequency and mode shape solutions are simple and practical for various engineering dynamic analyses of FGM plates.
- functional grade /
- composite materials /
- rectangular plate /
- dynamic character