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Controlled synchronization at the existence limit for an excited unbalanced rotor
Institution:1. School of Mechanical Engineering and Electronic Information, China University of Geosciences (Wuhan), 430074 Wuhan, China;2. Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, 066004 Qinhuangdao, China;3. School of Mechanical and Automotive Engineering, Hefei University of Technology, 230009 Hefei, China;4. Chair for Mechanics and Robotics, University of Duisburg-Essen, 47057 Duisburg, Germany;1. Dept. of Theoretical Mechanics, Technical University of Iasi, D. Mangeron Street No.59, 700050, Iasi Romania;2. Dept. of Automatic Control and Applied Informatics, Technical University of Iasi, D. Mangeron Street No.27, 700050, Iasi Romania;1. Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, Republic of Korea;2. Department of the Naval Architecture and Ocean Engineering, Seoul National University, Seoul, Republic of Korea;3. Research Institute of Marine Systems Engineering, Seoul National University, Seoul, Republic of Korea;1. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;2. Chair for Mechanics and Robotics, University of Duisburg-Essen, Duisburg 47057, Germany
Abstract:The synchronization of a controlled unbalanced rotor with a viscoelastically mounted supporting body and force-excitation is studied. The existence and stability conditions for the synchronous regime of motion are derived for a general control law by the method of direct separation of motion. Then a control law is developed using speed gradient method in order to transfer maximum energy from the excitation to the rotor. The free parameters of the control law are derived in such a way that the controlled synchronization is stable at the existence limit.
Keywords:Controlled synchronization  Unbalanced rotor  Energy harvesting  Vibration amplitude reduction
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