| 变厚度及加肋功能梯度板分析的半解析方法 |
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| 引用本文： | 曹志远,程国华. 变厚度及加肋功能梯度板分析的半解析方法[J]. 同济大学学报(自然科学版), 2007, 35(10): 1373-1378 |
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| 作者姓名： | 曹志远 程国华 |
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| 作者单位： | 同济大学,航空航天与力学学院,上海,200092 |
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| 摘 要： | 给出的功能梯度材料构件半解析数值方法不同于一般的半解析法,而是用一维离散,给出三维分析结果,并针对功能梯度材料的材料参数随空间坐标变化的特点,将材料参数纳入到力学方程中进行整体积分计算,从而编制统一程序计算不同情况下的板件问题.并且用半解析法分析变厚度及加肋功能梯度板,给出了不同于经典平板理论的功能梯度板件力学量三维分布形态.
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| 关 键 词： | 功能梯度材料 半解析数值方法 变厚度 加肋板 三维分析 |
| 文章编号： | 0253-374X（2007）10-1373-06 |
| 修稿时间： | 2005-11-08 |
Semi-analytical Method for 3-D Analyses of Variable Thickness and Ribbed Functionally Graded Material Plates |
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| CAO Zhiyuan,CHENG Guohua. Semi-analytical Method for 3-D Analyses of Variable Thickness and Ribbed Functionally Graded Material Plates[J]. Journal of Tongji University(Natural Science), 2007, 35(10): 1373-1378 |
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| Authors: | CAO Zhiyuan CHENG Guohua |
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| Affiliation: | School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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| Abstract: | The paper presents a semi-analytical numerical method to analyze the functionally graded material structures.The presented method is different from general semi-analytical method in that it derives 3-D analytical results with 1-D discretization.The method is of strong adaptability,brevity and high efficiency.According to the characteristics of functionally graded material parameters varying with the space coordinates,the material parameters are entered into mechanical equations for the whole integral calculation,then the unified program is formed for solving different kinds of plate problems.The semi-analytical method is used to analyze variable-thickness and ribbed functionally graded material plates,and the 3-D distributions of mechanical quantities different from classic plate theory are given. |
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| Keywords: | functionally graded material semi-analytical numerical method variable thickness ribbed plate 3-D analysis |
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