中国物理B ›› 2000, Vol. 9 ›› Issue (8): 561-564.doi: 10.1088/1009-1963/9/8/001

• GENERAL •    下一篇

EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

张睿超, 陈向炜, 梅凤翔   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2000-01-07 修回日期:2000-02-24 出版日期:2005-06-10 发布日期:2005-06-10
  • 基金资助:
    Project supported by the National Natural Science Foundation (Grant No. 19972010) and the Doctoral Program Foundation of Institution of Higher Education of Chian.

EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔)   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2000-01-07 Revised:2000-02-24 Online:2005-06-10 Published:2005-06-10
  • Supported by:
    Project supported by the National Natural Science Foundation (Grant No. 19972010) and the Doctoral Program Foundation of Institution of Higher Education of Chian.

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摘要： After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.

Abstract: After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.

Key words: lagrangian system, nonholonomic constraint, lie symmetry, conserved quantity.

中图分类号:  (Symmetry and conservation laws)

  • 11.30.-j
45.20.Jj (Lagrangian and Hamiltonian mechanics)