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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Poincaré-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.
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关键词:
- 广义力学系统 /
- 非完整约束 /
- 奇异Lagrange量 /
- Poincaré-Ca rtan积分
Based on generalized Apell-Четаев constrained conditions and taking into a ccount the inherent higher-order nonholonomic constraints,the generalized Poincaré-Cartan integral invariant for a generalized mechanical system with higher- order subsidiary nonholonomic constraints is formulated. We can show that the ex istence of Poincaré-Cartan integral invariant for such a system is equivalent to the generalized canonical equation of a nonholonomic constrained generalized mechanical system.-
Keywords:
- generalized mechanics /
- nonholonomic con strains /
- singular Lagrangian /
- Poincaré-Cartan integral invariant
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