非完整约束奇异广义力学系统的Poincar-Cartan积分  

Poincar-Cartan integral invariant of a nonholonomic constrained generalized mechanical system

作　　者：李爱民[1] 张莹[1] 李子平[1] 

机构地区：[1]北京工业大学数理学院,北京100022

出　　处：《物理学报》2004年第9期2816-2820,共5页Acta Physica Sinica

摘　　要：对受高阶微商非完整约束并用奇异Lagrange量描述的广义力学系统 ,基于广义Apell_Четаев约束条件 ,并考虑到系统的内在约束 ,导出了该非完整约束奇异广义力学系统的广义Poincar _Cartan积分不变量 .Based on generalized Apell_Четаев constrained conditions and taking into account the inherent higher_order nonholonomic constraints, the generalized Poincar Cartan integral invariant for a generalized mechanical system with higher_order subsidiary nonholonomic constraints is formulated. We can show that the existence of Poincar Cartan integral invariant for such a system is equivalent to the generalized canonical equation of a nonholonomic constrained generalized mechanical system.

关 键 词：广义力学系统 非完整约束 奇异Lagrange量 Poineare-Cartan积分 经典力学 

分 类 号：O311[理学—一般力学与力学基础]