| 广义经典力学中完整非保守系统的变分方程与积分不变量 |
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| 引用本文： | 董文山.广义经典力学中完整非保守系统的变分方程与积分不变量[J].潍坊学院学报,2005,5(4):97-99. |
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| 作者姓名： | 董文山 |
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| 作者单位： | 潍坊学院,山东,潍坊,261061 |
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| 摘 要： | 建立了广义完整非保守力学系统的变分方程,并利用系统的正则方程和变分方程证明,可由第一积分直接构造系统的积分不变量.最后举例说明结果的应用.
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| 关 键 词： | 广义力学 变分方程 第一积分 积分不变量 |
| 文章编号： | 1671-4288（2005）04-0097-03 |
| 收稿时间： | 2004-12-28 |
| 修稿时间： | 2004年12月28 |
The variational equqtions and the integral invariants for holonomic nonconservative dynamical systems in generalized classical mechanics |
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| DONG Wen-shan.The variational equqtions and the integral invariants for holonomic nonconservative dynamical systems in generalized classical mechanics[J].Journal of Weifang University,2005,5(4):97-99. |
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| Authors: | DONG Wen-shan |
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| Abstract: | The paper established the variational equations for holonomic nonconservative dynamical systems in generalized classical mechanics,and making use of the canonicai equations of systems and their variational equations, the paper has proved that an integral invariant can be directly comstmcted by a first integral of the systems. Finally one example is given. |
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| Keywords: | extended phase space generalized mechanics first integral integral invariant |
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