| DQ法求解FGM Levinson梁的静态弯曲问题 |
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| 引用本文： | 张静华,;魏军扬.DQ法求解FGM Levinson梁的静态弯曲问题[J].华东交通大学学报,2014(3):80-87. |
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| 作者姓名： | 张静华 ;魏军扬 |
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| 作者单位： | [1]扬州大学建筑工程与科学学院,江苏扬州225127; [2]中船第九设计研究院工程有限公司,上海200063 |
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| 摘 要： | 基于高阶剪切变形理论，采用微分求积法（DQM）研究了功能梯度材料Levinson梁的静态弯曲解，并与Timoshenko梁的弯曲解进行了比较。考虑功能梯度梁的材料性质沿厚度方向按照幂函数连续变化，建立了梁的无量纲控制方程，给出了均布载荷作用下，长细比为10时，相同尺寸的梁在3种常见的边界条件下功能梯度Levinson梁的无量纲挠度随梯度指数 p的变化规律以及不同边界条件下功能梯度材料Levinson梁的无量纲挠度随长细比的变化规律。
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| 关 键 词： | 功能梯度材料 Levinson梁 Timoshenko梁 弯曲解 微分求积法 |
Static Bending Solutions of Functionally Graded Material Levinson Beams Based on Differential Quadrature Method |
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| Institution: | Zhang Jinghua, Wei Junyang (l.School of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, China; 2. China Shipbuilding NDRI Engineering Co., Ltd., Shanghai 200063, China) |
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| Abstract: | Based on the higher-order shear deformation theory, this paper gets static bending solutions of FGM Levinson beams by differential quadrature method and then compares those with the Timoshenko beams bending so-lutions. The non-dimensional governing equations of FGM beams are derived by considering the material properties which vary continuously in the thickness direction based on power law exponent, and the non-dimensional deflection of three common boundary conditions are derived by considering the material properties varying with the power law exponent in the thickness direction while the slenderness ratio is ten. The non-dimensional deflections of FGM Levinson beams for the different boundary conditions are also illustrated at varied slenderness ratio. |
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| Keywords: | functionally graded material beams Levinson beams Timoshenko beams bending solutions differen-tial quadrature method |
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