A geometric framework for time-dependent mechanical systems with unilateral constraints
Zhang Yi (张毅)a, Mei Feng-Xiang (梅凤翔)b
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
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.
Received: 10 December 2004
Revised: 04 February 2005
Accepted manuscript online:
Fund: 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.
Cite this article:
Zhang Yi (张毅), Mei Feng-Xiang (梅凤翔) A geometric framework for time-dependent mechanical systems with unilateral constraints 2006 Chinese Physics 15 13
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