| 中厚板状态变量半解析数值方法 |
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| 引用本文： | 关玉璞,王治国.中厚板状态变量半解析数值方法[J].上海交通大学学报,1995,29(4):23-27. |
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| 作者姓名： | 关玉璞 王治国 |
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| 作者单位： | 南京航空航天大学振动工程研究所 |
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| 摘 要： | 本文从中厚板Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理出发，导出中厚板Ｈａｍｉｌｔｏｎ正则方程和相应的泛函。在一个坐标方向用有限元离散，在另一个坐标方向用状态变量法给出解析解，提出了中厚板状态变量半解析数值方法，并给出简支方板和固支方板两个数值算例。
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| 关 键 词： | 状态变量 半解析法 中厚板 哈密顿正则方程 |
State-variable Semi-analytical Numerical Method for Moderately Thick Plates |
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| Guan Yupu,Wang Zhiguo.State-variable Semi-analytical Numerical Method for Moderately Thick Plates[J].Journal of Shanghai Jiaotong University,1995,29(4):23-27. |
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| Authors: | Guan Yupu Wang Zhiguo |
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| Institution: | Guan Yupu;Wang Zhiguo |
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| Abstract: | In this paper, the Hamilton canonical equations and the relevant functional formoderately thick plates are derived from the Hellinger-Reissner variational theory. In a coordinate direction, finite element discretization is used. And in another coordinate direction,the analytical solution is deduced with the state-variable method. Therefore, the state-variable semi-analytical numerical method for moderately thick plates is presented. Lastly, twonumerical examples of simply supported and clamped square plates are given. |
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| Keywords: | Hellinger-Reissner variational theory Hamilton canonical equations state-variable semi-analytical method |
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