Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (12): 1113-1123.

• 论文 • 上一篇    下一篇

ON SOME IMPORTANT PROBLEMS IN ANALYTICAL DYNAMICS OF NON-HOLONOMIC SYSTEMS

梁立孚1, 石志飞2   

  1. 1. Harbin Shipbuilding Engineering Institute, Harbin;
    2. Harbin Institute of Technology, Harbin
  • 收稿日期:1992-09-12 出版日期:1993-12-18 发布日期:1993-12-18

ON SOME IMPORTANT PROBLEMS IN ANALYTICAL DYNAMICS OF NON-HOLONOMIC SYSTEMS

Liang Li-fu1, Shi Zhi-fei2   

  1. 1. Harbin Shipbuilding Engineering Institute, Harbin;
    2. Harbin Institute of Technology, Harbin
  • Received:1992-09-12 Online:1993-12-18 Published:1993-12-18

摘要: By using deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.

关键词: analytical dynamics, variational principle, non-holonomic systems, the deductive method, Chetaev condition, constraint force

Abstract: By using deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.

Key words: analytical dynamics, variational principle, non-holonomic systems, the deductive method, Chetaev condition, constraint force

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