中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30303-030303.doi: 10.1088/1674-1056/19/3/030303
吴惠彬, 梅凤翔
Wu Hui-Bin(吴惠彬)† and Mei Feng-Xiang(梅凤翔)
摘要: This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.
中图分类号: (Lagrangian and Hamiltonian mechanics)