| Science Letters： Analytical solutions for a uniformly loaded circular plate with clamped edges |
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| 引用本文： | 丁皓江,李翔宇,陈伟球.Science Letters： Analytical solutions for a uniformly loaded circular plate with clamped edges[J].浙江大学学报(A卷英文版),2005,6(10):1163-1168. |
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| 作者姓名： | 丁皓江 李翔宇 陈伟球 |
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| 作者单位： | [1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China [2]State Key Lab of CAD ＆ CG, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | Project （Nos. 10472102 and 10432030） supported by the National Natural Science Foundation of China |
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| 摘 要： | A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier （1970）. The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.（2004）, and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.
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| 关 键 词： | 轴对称变形 三维分析 调和函数 边界条件 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005-09-26 |
Analytic solutions for a uniformly loaded circular plate with clamped edges |
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| Ding Hao-jiang,Lee Xiang-yu,Chen Wei-qiu.Analytic solutions for a uniformly loaded circular plate with clamped edges[J].Journal of Zhejiang University Science,2005,6(10):1163-1168. |
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| Authors: | Ding Hao-jiang Lee Xiang-yu Chen Wei-qiu |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China;(2) State Key Lab of CAD & CG, Zhejiang University, 310027 Hangzhou, China |
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| Abstract: | A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions
of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the
same as the adopted by Timoshenko and Goodier (1970). The analytical solution for the first type of clamped boundary condition
is identical with that obtained by Luoet al. (2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.
Project (Nos. 10472102 and 10432030) supported by the National Natural Science Foundation of China |
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| Keywords: | Three-dimensional analytical solution Circular plates with clamped edges Bi-harmonic functions Axisymmetricdeformation |
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