Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (10): 939-944.

• 论文 • 上一篇    下一篇

ON UNILATERALLY CONSTRAINED MOTIONS OF RIGID BODIES SYSTEMS

李洪波   

  1. MMRC, Institute of Systems Science, Academia Sinica, Beijing 100080, P. R. China
  • 收稿日期:1996-02-13 出版日期:1996-10-18 发布日期:1996-10-18

ON UNILATERALLY CONSTRAINED MOTIONS OF RIGID BODIES SYSTEMS

Li Hongbo   

  1. MMRC, Institute of Systems Science, Academia Sinica, Beijing 100080, P. R. China
  • Received:1996-02-13 Online:1996-10-18 Published:1996-10-18

摘要: In this paper , the unilaterally constrained motions of a large class of rigid bodiessystems are studied both locally and globally. The main conclusion is that locally,such a system bahaves like a particle in a Riemannian manifold with boundary;globally.under the assumption of energy conservation, the system behaves like a billiards system over a Riemannina manifold with boundary

Abstract: In this paper , the unilaterally constrained motions of a large class of rigid bodiessystems are studied both locally and globally. The main conclusion is that locally,such a system bahaves like a particle in a Riemannian manifold with boundary;globally.under the assumption of energy conservation, the system behaves like a billiards system over a Riemannina manifold with boundary

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