| Hamilton体系与与弹性力学Saint－Venant问题 |
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| 引用本文： | 钟万勰,徐新生,张洪武. Hamilton体系与与弹性力学Saint－Venant问题[J]. 应用数学和力学, 1996, 0(9) |
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| 作者姓名： | 钟万勰 徐新生 张洪武 |
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| 作者单位： | 大连理工大学工程力学研究所 |
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| 基金项目： | 国家自然科学基金,教委博士点基金 |
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| 摘 要： | 本文一改传统的在Ｌａｇｒａｎｇｅ体系欧几里德空间中用半道法讨论Ｓａｉｎｔ－Ｖｅｎａｎｔ问题的方法，而在具有守恒性的Ｈａｍｉｌｔｏｎ体系中辛空间里研究该问题．通过讨论Ｈａｍｉｌｔｏｎ算子矩阵的零本征值及其Ｊｏｒｄａｎ型，直接求解出全部Ｓａｉｎｔ－Ｖｅｎａｎｔ问题的解．
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| 关 键 词： | Hamilton体系Saint－Venant问题，辛，本征值 |
Hamiltonian System and the Saint Venant Problem in Elasticity |
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| Zhong Wanxie, Xu Xinsheng, Zhang Hongwu. Hamiltonian System and the Saint Venant Problem in Elasticity[J]. Applied Mathematics and Mechanics, 1996, 0(9) |
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| Authors: | Zhong Wanxie Xu Xinsheng Zhang Hongwu |
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| Abstract: | The traditional semi-inverse solution method of the Saint Yenant problem,which is described in the Euclidian space under the Lagrange system formulation,is updated to be solved in the symplectic space under the conservative Hamiltonian system.It is proved in the present paper that all the Saint Yenant solutions can be obtained directly via the zero eigenvalue solutions and all their Jordan normal form of the corresponding Hamiltonian operator matrix. |
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| Keywords: | Hamiltonian system Saint Venant problem symplectic eigenvalue problem |
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