| DQM求解功能梯度圆板轴对称线性弯曲问题研究 |
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| 引用本文： | 付俊强,张新娜,何鑫. DQM求解功能梯度圆板轴对称线性弯曲问题研究[J]. 中原工学院学报, 2011, 22(2): 55-58. DOI: 10.3969/j.issn.1671-6906.2011.02.015 |
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| 作者姓名： | 付俊强 张新娜 何鑫 |
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| 作者单位： | 1. 洛阳理工学院,河南洛阳,471023
2. 中原工学院,郑州,450007 |
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| 摘 要： | 基于一阶剪切变形板理论,研究了功能梯度圆板在均布机械载荷作用下的轴对称线性弯曲问题.假设功能梯度材料性质只沿板厚方向变化,且服从幂函数规律,推导了该问题的控制方程,考虑固支边界条件,用微分求积法对其进行数值求解.利用求解结果讨论了功能梯度材料的梯度参数、板厚半径比对圆板线性弯曲的影响.
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| 关 键 词： | 功能梯度材料 圆板 微分求积法 线性弯曲 |
Study on the Question of Axisymmetric Linear Bending of Functionally Graded Circular Plate by Differential Quadrature Method |
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| FU Jun-qiang,ZHANG Xin-na, HE Xin. Study on the Question of Axisymmetric Linear Bending of Functionally Graded Circular Plate by Differential Quadrature Method[J]. Journal of Zhongyuan Institute of Technology, 2011, 22(2): 55-58. DOI: 10.3969/j.issn.1671-6906.2011.02.015 |
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| Authors: | FU Jun-qiang ZHANG Xin-na HE Xin |
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| Affiliation: | FU Jun-qiang1,ZHANG Xin-na1,HE Xin2(1.Luoyang Institute of Science and Technology,Luoyang 471023,2.Zhongyuan University of Technology,Zhengzhou 450007,China) |
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| Abstract: | Based on the first-order shear deformation plate theory,the functional gradient materials circular plate of axisymmetric linear bending problem under machinery loading effect is studied.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.considering fixed supported boundary conditions,and then a differenti... |
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| Keywords: | functionally graded material circular plate differential quadrature method linear bending. |
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