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Stability of Motion of a Nonholonomic System |
MEI Feng-Xiang;XIE Jia-Fang;GANG Tie-Qiang |
Department of Mechanics, Beijing Institute of Technology, Beijing 100081 |
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Cite this article: |
MEI Feng-Xiang, XIE Jia-Fang, GANG Tie-Qiang 2007 Chin. Phys. Lett. 24 1133-1135 |
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Abstract Perturbation differential equations of motion of a general nonholonomic system subjected to the ideal nonholonomic constraints of Chetaev's type are established, and the equation of variation of energy is deduced by using the perturbation equations of the system. A criterion of the stability is obtained and an example is given to illustrate the application of the result.
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Keywords:
03.20.+i
02.20.Jr
04.20.Jb
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Received: 01 February 2007
Published: 23 April 2007
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