【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 .并证明了该不变量与非完整约束奇异广义力学系统的广义正则方程等价更多还原

【Abstract】 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.更多还原