中国物理B ›› 2006, Vol. 15 ›› Issue (1): 13-18.doi: 10.1088/1009-1963/15/1/003

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A geometric framework for time-dependent mechanical systems with unilateral constraints

梅凤翔1, 张毅2   

  1. (1)Department of Applied Mechanics, Beijing Institute of Technology,Beijing 100081, China; (2)Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China
  • 收稿日期:2004-12-10 修回日期:2005-02-04 出版日期:2006-01-20 发布日期:2006-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10272021), the Natural Science Foundation of High Education of Jiangsu Province, China (Grant No 04KJA130135) and the ``Qing Lan'' Project Foundation of Jiangsu Province, China.

A geometric framework for time-dependent mechanical systems with unilateral constraints

Zhang Yi (张毅)a, Mei Feng-Xiang (梅凤翔)b    

  1. a Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China; b Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2004-12-10 Revised:2005-02-04 Online:2006-01-20 Published:2006-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10272021), the Natural Science Foundation of High Education of Jiangsu Province, China (Grant No 04KJA130135) and the ``Qing Lan'' Project Foundation of Jiangsu Province, China.

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摘要： The description of modern differential geometry for time-dependent Chetaev nonholonomic mechanical systems with unilateral constraints is studied. By using the structure of exact contact manifold, the geometric framework of time-dependent nonholonomic mechanical systems subject to unilateral nonholonomic constraints and unilateral holonomic constraints respectively is presented.

关键词: nalytical mechanics, time-dependent, unilateral constraint, differential geometry

Abstract: The description of modern differential geometry for time-dependent Chetaev nonholonomic mechanical systems with unilateral constraints is studied. By using the structure of exact contact manifold, the geometric framework of time-dependent nonholonomic mechanical systems subject to unilateral nonholonomic constraints and unilateral holonomic constraints respectively is presented.

Key words: nalytical mechanics, time-dependent, unilateral constraint, differential geometry

中图分类号:  (Geometry, differential geometry, and topology)

  • 02.40.-k
45.05.+x (General theory of classical mechanics of discrete systems) 45.20.Jj (Lagrangian and Hamiltonian mechanics)