【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.更多还原

【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更多还原