| 圆板混合边值问题的一种数值方法 |
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| 引用本文： | 郑小平,叶天麒.圆板混合边值问题的一种数值方法[J].航空学报,1993,14(9):529-532. |
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| 作者姓名： | 郑小平 叶天麒 |
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| 作者单位： | 清华大学工程力学系，西北工业大学504教研室 北京 100084，西安 710072 |
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| 摘 要： | 利用弹性薄板的广义变分原理和双调和方程的特解序列,提出了一种求解圆板混合边值问题的数值方法。最后通过两个实例计算说明该方法的收敛性和可靠性。
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| 关 键 词： | 广义变分原理 双调和函数 圆板 混合边值问题 |
A NUMERICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES |
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| Zheng Xiao-ping.A NUMERICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES[J].Acta Aeronautica et Astronautica Sinica,1993,14(9):529-532. |
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| Authors: | Zheng Xiao-ping |
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| Institution: | 1. Department of Engineering Mechanics, Tsinghua University, Beijing, 100084;2. Faculty 504, Northwestern Polytechnical University, Xi'an, 710072 |
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| Abstract: | By using the generalized variational principles of thin plate bending problem, a numerical method is proposed for a mixed boundary value problem of circular plate. The trial functions are constructed by using the series of particular solutions of the biharmonic equation. Two examples are presented to show the high convergence and reliability of the method. |
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| Keywords: | generalized variational principle biharmonic function circular plate mixed boundary value problem |
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