中国物理B ›› 2007, Vol. 16 ›› Issue (11): 3168-3175.doi: 10.1088/1009-1963/16/11/004
张耀宇1, 罗绍凯2, 贾利群3
Jia Li-Qun(贾利群)a)†, Zhang Yao-Yu(张耀宇)b), and Luo Shao-Kai(罗绍凯)c)
摘要: Hojman conserved quantities deduced from the special Lie symmetry, the Noether symmetry and the form invariance for a nonholonomic system of the unilateral non-Chetaev type in the event space are investigated. The differential equations of motion of the system above are established. The criteria of the Lie symmetry, the Noether symmetry and the form invariance are given and the relations between them are obtained. The Hojman conserved quantities are gained by which the Hojman theorem is extended and applied to the nonholonomic system of the unilateral non-Chetaev type in the event space. An example is given to illustrate the application of the results.
中图分类号: (Lagrangian and Hamiltonian mechanics)