| 功能梯度与均匀圆板静动态解之间的相似转换关系 |
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| 引用本文： | 李世荣,高颖,张靖华.功能梯度与均匀圆板静动态解之间的相似转换关系[J].固体力学学报,2011(Z1). |
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| 作者姓名： | 李世荣 高颖 张靖华 |
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| 作者单位： | 扬州大学建筑科学与工程学院;兰州理工大学理学院; |
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| 基金项目： | 国家自然科学基金项目(10872083); 教育部博士点基金项目(200807310002) |
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| 摘 要： | 基于经典板理论,研究了功能梯度材料圆板的轴对称弯曲、屈曲和自由振动解与相应的均匀材料圆板解之间的转换关系.通过消去拉-弯耦合项得到了以挠度函数表示的功能梯度圆板的弯曲、屈曲和自由振动控制方程.分析功能梯度圆板与均匀圆板的控制方程之间的相似性,得到了功能梯度材料圆板与均匀圆板的解之间解的相似转换关系,在假定FGM圆板的材料性质沿厚分别以幂函数和指数函数的度变规律后,给出了相应的转换系数的解析表达式.该系数集中反映了功能梯度圆板的材料非均匀性.在已知均匀材料圆板轴对称解的条件下,可将功能梯度材料圆板轴对称问题的求解转化为相似转换系数的计算问题.这一方法可为非均匀板的求解提供了十分便捷有效的途径,而且便于工程应用.
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| 关 键 词： | 功能梯度材料 圆板 弯曲 屈曲 自由振动 相似转换 |
ANALOGOUS TRANSFORMATION BETWEEN OF STATIC AND DYNAMIC SOLUTIONS OF FUNCTIONALLY GRADED MATERIAL AND UNIFORM CIRCULAR PLATES |
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| Shirong Li Ying Gao Jinghua Zhang.ANALOGOUS TRANSFORMATION BETWEEN OF STATIC AND DYNAMIC SOLUTIONS OF FUNCTIONALLY GRADED MATERIAL AND UNIFORM CIRCULAR PLATES[J].Acta Mechnica Solida Sinica,2011(Z1). |
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| Authors: | Shirong Li Ying Gao Jinghua Zhang |
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| Institution: | Shirong Li1 Ying Gao2 Jinghua Zhang3(1School of Civil Science and Engineering,Yangzhou University,Yangzhou,225127)(2School of Science,Lanzhou University of Technology,Lanzhou,730050) |
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| Abstract: | Based on the classical plate theory,analogous transformation between solutions of axisymmetric bending,buckling and free vibration of functionally graded material(FGM) circular plates and those of homogenous circular plates were studied.By delimiting the tension-bending coupling terms,governing equations and boundary conditions only including the deflection function for bending,buckling and free vibration of FGM circular plates were obtained.Through analyzing the similarity between the governing equations o... |
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| Keywords: | functionally graded materials circular plate bending buckling free vibration analogous transformation |
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