| 叠层厚壳动力分析的Hamilton方程及精确解 |
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| 引用本文： | 丁克伟,唐立民.叠层厚壳动力分析的Hamilton方程及精确解[J].振动与冲击,1998,17(2):19-24. |
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| 作者姓名： | 丁克伟 唐立民 |
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| 作者单位： | 大连理工大学工程力学研究所
(丁克伟)，大连理工大学工程力学研究所(唐立民) |
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| 基金项目： | 国家自然科学基金，安徽省自然科学基金资助. |
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| 摘 要： | 本文通过动力问题的Hellinger-Reissner变分原理,在柱坐标系下,导出了Hamilton正则方程,未采用任何有关应力或位移模式的人为假设,用状态空间法给出了薄的、中等厚度的以及强厚度的叠层闭口柱壳的精确频率,此解满足所有弹性力学基本方程,并计及了全部弹性常数,任意需要的精度均能得到.此法可通用于其它板壳的动力计算问题.
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| 关 键 词： | Hamilton正则方程 状态方程 频率 精确解 |
HAMILTON CANONICAL EQUATION IN DYNAMIC ANALYSIS OF THICK LAMINATED SHELL AND ITS EXACT SOLUTION |
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| Ding Kewei Tang Limin.HAMILTON CANONICAL EQUATION IN DYNAMIC ANALYSIS OF THICK LAMINATED SHELL AND ITS EXACT SOLUTION[J].Journal of Vibration and Shock,1998,17(2):19-24. |
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| Authors: | Ding Kewei Tang Limin |
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| Abstract: | According to the transient Hellinger-Reissner variational principle the Hamilton canonical equation is established in a cylindrical coordinate system without any assumption aboutdisplacement model and stress distribution, the exact frequencies can be solved for thin, moderately thick and thick laminated shell by state space method. By the method, all equations of elasticity are satisfied and all elastic constants are taken into account, and arbitrary precision of a desired order can be reached. This method can be employed in transient analysis of both plates and shells. |
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| Keywords: | hamilton canonical equation state equation frequency exact solution |
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