| 功能梯度圆板的轴对称非线性分析--大挠度问题 |
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| 引用本文： | 马连生,赵永刚,杨静宁.功能梯度圆板的轴对称非线性分析--大挠度问题[J].兰州理工大学学报,2004,30(6):139-142. |
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| 作者姓名： | 马连生 赵永刚 杨静宁 |
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| 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 |
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| 基金项目： | 甘肃省自然科学基金(3ZS041 A25 007) |
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| 摘 要： | 基于经典非线性板理论,研究了功能梯度圆板在热、机械等载荷作用下的轴对称非线性弯曲问题.假设功能梯度材料性质只沿板厚度方向变化,是体积分数的幂指数函数.推导了问题的控制方程,并用打靶法对其进行数值求解.利用数值结果考察了梯度材料性质、载荷条件以及边界条件对板弯曲行为的影响.
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| 关 键 词： | 功能梯度材料(FGM) 非线性弯曲 热机械联合载荷 打靶法 |
| 文章编号： | 1000-5889(2004)06-0139-04 |
| 修稿时间： | 2004年3月5日 |
Axisymmtric nonlinear analysis of a functionally graded circular plate:large deflection bending problem |
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| MA Lian-sheng,ZHAO Yong-gang,YANG Jing-ning.Axisymmtric nonlinear analysis of a functionally graded circular plate:large deflection bending problem[J].Journal of Lanzhou University of Technology,2004,30(6):139-142. |
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| Authors: | MA Lian-sheng ZHAO Yong-gang YANG Jing-ning |
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| Abstract: | Based on the classical nonlinear theory of von Karman plate,axisymmetric large deflection bending of a functionally graded circular plate are investigated under mechanical and thermal loads.The material properties of functionally graded material are assumed to vary continuously only along thickness-wise direction in the plate,and obey a simple power law of the volume fraction of the constituents.Governing equations for the problem are derived,and then a shooting method is employed to numerically solve the equations.Effects of gradient material properties,load conditions,and boundary conditions on bending behavior of the plate are discussed in details by using the numeric solution obtained. |
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| Keywords: | functionally graded material(FGM) nonlinear bending thermal and mechanical united loading shooting method |
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