| 层合板壳问题的哈密顿体系与哈密顿型广义变分原理 |
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| 引用本文： | 邹贵平.层合板壳问题的哈密顿体系与哈密顿型广义变分原理[J].上海大学学报(自然科学版),1996,2(2):119-128. |
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| 作者姓名： | 邹贵平 |
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| 作者单位： | 上海大学，上海市应用数学和力学研究所 |
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| 摘 要： | 本文将哈密顿体系的理论与方法引入到层合板壳问题之中，建立了一种统一的哈密顿型广义变分原理，并由此给出了层合板静力及弹塑性分析的哈密顿正则方程和边界条件，且通过变换相变量，进而给出了曲线坐标系下层合圆柱壳问题和层合双曲壳问题的哈密顿正则方程及其相应的边界条件
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| 关 键 词： | 层合板壳 哈密顿正则方程 哈密顿型广义变分原理 辛几何 |
The Hamilton Systems and the Hamilton Type Generalized Variational Principle of Composite Laminated Plates and Shells |
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| Zou Guiping.The Hamilton Systems and the Hamilton Type Generalized Variational Principle of Composite Laminated Plates and Shells[J].Journal of Shanghai University(Natural Science),1996,2(2):119-128. |
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| Authors: | Zou Guiping |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics |
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| Abstract: | By introducing the Hamilton theory and techaniques in the laminated composite plates and shells, the Hamilton type generalized variational principle is established, and the Hamilton canonical equations and the boundary conditions for the static and elastoplastic analysis of composite plates are presented For the transformation of variables, the Hamilton canonical equations. and the boundary conditions for the laminated cylindrical shells and doubly curved shells in the curvilinear coordinate are presented. |
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| Keywords: | composite laminated plates and shells Hamilton canonical equations Hamilton type generalized variational principle sympletic geometry |
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