The existence of periodic motions in rub-impact rotor systems |
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| Authors: | Q-S Lu Q-H Li |
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| Institution: | a Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, People's Republic of Chinab Department of Mathematical Sciences, Brunel University,Uxbridge, Middlesex UB8 3PH, UK |
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| Abstract: | The existence of rub-impact periodic motions in an eccentric rotor system is considered. A criterion for the periodicity condition of n-periodic impacts is derived and other conditions for real rub-impacts are also discussed. A method consisting of analytical and numerical techniques is presented to solve the existence problem of rub-impact periodic motions. Some special results are obtained by theoretical analyses for rub-impact rotor systems, including the existence of grazing circle motions and that of single-impact periodic motions. |
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