| Mindlin板动力学问题的Hamilton体系及其辛解法 |
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| 引用本文： | 邹贵平. Mindlin板动力学问题的Hamilton体系及其辛解法[J]. 力学季刊, 1997, 18(3): 260-265 |
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| 作者姓名： | 邹贵平 |
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| 作者单位： | 同济大学工程力学系 上海 |
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| 摘 要： | 本文通过对混合能变分原理的修正，建立了Ｍｉｎｄｌｉｎ板动力学问题的Ｈａｍｉｌｔｏｎ正则方程，并采用共轭辛正交归一关系给出固有频率分析的精确解。
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| 关 键 词： | 哈密顿体系 正则方程 辛几何 动力学 板弯曲 |
THE HAMILTON SYSTEM AND ANALYTICAL SYMPLECTIC SOLUTION FOR THE FREE VIBRATION ANALYSIS OF MINDLIN PLATES |
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| Zou Guiping. THE HAMILTON SYSTEM AND ANALYTICAL SYMPLECTIC SOLUTION FOR THE FREE VIBRATION ANALYSIS OF MINDLIN PLATES[J]. Chinese Quarterly Mechanics, 1997, 18(3): 260-265 |
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| Authors: | Zou Guiping |
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| Abstract: | Based on the Mindlin plate theory,and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method. |
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| Keywords: | Hamilton canonical equation symplectic geometry Mindlin plate free vibration analysis |
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