事件空间中非Chetaev型非完整约束系统的Hojman守恒量

研究了事件空间中非Chetaev型非完整约束系统由特殊的Lie对称性、Noether对称性和Mei对称性导致的Hojman守恒量.建立了系统的运动微分方程.给出了Lie对称性、Noether对称性和Mei对称性的判据,研究了三种对称性间的关系.将Hojman定理推广并应用于事件空间中的非Chetaev型非完整约束系统,得到Hojman守恒量.并举出一例说明结论的应用. 关键词： 事件空间 非Chetaev型非完整约束系统 对称性 Hojman守恒量

Hojman conserved quantities for systems with non-Chetaev nonholonomic constraints in the event space

Hojman conserved quantities deduced by using the special Lie symmetry, the Noether symmetry and the Mei symmetry for systems with non-Chetaev nonholonomic constraints in the event space are studied. First, the differential equations of motion for the above systems are established. Second, the criterion of the Lie symmetry, the Noether symmetry, the Mei symmetry and the relation between them are obtained. Third, the conservation law obtained by Hojman is generalized and applied to the systems, and Hojman conserved quantities are obtained. An example is given to illustrate the application of the results.