The existence and stability of the equilibria of mechanical systems with constraints produced by large potential forces |
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| Institution: | 1. Univ Lyon, INSA-Lyon, CNRS UMR5259, LaMCoS, F-69621, France;2. Univ Lyon, ENTPE, CNRS UMR5513, LTDS, F-69518, France;1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China;2. Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration, Ministry of Industry and Information Technology, Beijing, 100081, China |
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| Abstract: | A modification of Routh's theorem is investigated for systems with unilateral constraints produced by large potential forces, which enables steady motions to be found and the sufficient conditions for their stability to be investigated. The problem of an orbital “monkey bridge” is considered as an example. |
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