搜索

x
中国物理学会期刊

非完整约束奇异广义力学系统的Poincaré-Cartan积分

CSTR: 32037.14.aps.53.2816

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

CSTR: 32037.14.aps.53.2816
PDF
导出引用
  • 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.

     

    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.

     

    目录

    /

    返回文章
    返回