完整约束奇异广义力学系统的Poincare'-Cartan积分  

Poincare'-Cartan Integral Invariant of Holonomic Constrained Generalized Mechanical System

作　　者：李爱民[1] 

机构地区：[1]北京工业大学数理学院,北京100022

出　　处：《江汉大学学报（自然科学版）》2005年第3期5-9,共5页Journal of Jianghan University：Natural Science Edition

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.For a constrained generalized mechanical system with subsidiary holonomic constraints, based on the virtual displacement conditions imposed by the subsidiary holonomic constraints 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 holonomic constraints is formulated. It can be proved that the exitence of Poincare＇-Cartan integral invariant for such a system is equaivelent to generalized canonical eqation of holonomic constrained generalized mechanical system

关 键 词：广义力学系统 完整外在约束 奇异Lagrange量 Poincare'-Cartan积分 

分 类 号：O412.3[理学—理论物理] O413.3[理学—物理]