| 完整约束奇异广义力学系统的Poincare'-Cartan积分 |
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| 引用本文： | 李爱民.完整约束奇异广义力学系统的Poincare'-Cartan积分[J].江汉大学学报(自然科学版),2005,33(3):5-9. |
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| 作者姓名： | 李爱民 |
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| 作者单位： | 北京工业大学数,理学院,北京,100022 |
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| 摘 要： | 对受完整外在约束并用奇异Lagrange量描述的广义力学系统,基于完整外在约束满足的约束加在虚位移上的条件,并考虑到系统的内在约束,导出了该约束奇异广义力学系统的广义Poincare'-Cartan积分不变量,并证明了该不变量与约束奇异广义力学系统的广义正则方程等价.
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| 关 键 词： | 广义力学系统 完整外在约束 奇异Lagrange量 Poincare'-Cartan积分 |
| 文章编号： | 1673-0143（2005）03-0005-05 |
| 收稿时间： | 2005-02-30 |
| 修稿时间： | 2005年2月28日 |
Poincare'-Cartan Integral Invariant of Holonomic Constrained Generalized Mechanical System |
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| LI Ai-min.Poincare''''-Cartan Integral Invariant of Holonomic Constrained Generalized Mechanical System[J].Journal of Jianghan University:Natural Sciences,2005,33(3):5-9. |
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| Authors: | LI Ai-min |
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| Abstract: | For a constrained generalized mechanical system with subsidiary holonomic con- straints, based on the virtual displacement conditions imposed by the subsidiary holonomic constra- ints and to take the inherent higher-order constraints into account , the generalized Poincare'-Cartan integral invariant for a generalized mechanical system with a singular Lagrangian and subsidiary hol- onomic constraints is formulated. It can be proved that the exitence of Poincare'-Cartan integral in- variant for such a system is equaivelent to generalized canonical eqation of holonomic constrained generalized mechanical system |
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| Keywords: | generalized mechanical system holonomic constrains singular Lagrangian Poin- care'-Cartan integral invariant |
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