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Maximum theoretical power absorption of connected floating bodies under motion constraints |
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| Institution: | 1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;2. MaREI, Environment Research Institute, University College Cork, Cork, Ireland;1. Department of Civil Engineering, Aalborg University, 9000 Aalborg, Denmark;2. Department of Mechanical Engineering, University of Victoria, P.O. Box 1700 Victoria, BC, Canada;1. Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, 100 Montrose Street, Glasgow, G4 0LZ, UK;2. Department of Marine Technology and Centre for Autonomous Marine Operations and Systems, Norwegian University of Science and Technology (NTNU), Trondheim, NO-7491, Norway;1. School of Engineering, Computing and Mathematics, University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK;2. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China;3. MaREI Centre, Environmental Research Institute & School of Engineering, University College Cork, Ireland |
| Abstract: | In this paper, a mathematical model is presented to evaluate the maximum mean power that can be absorbed by a three-dimensional system of connected floating bodies in waves under a weighted global constraint. The constraint imposed on the motion amplitudes of the system can be used to limit the motions of the bodies in order to make sure that the assumption of linear theory for wave–structure interaction remains valid. The absorbed power of a structure can be considered as the difference between excitation and radiated power without consideration of practical power take off. The solutions for the maximum relative capture widths of rigidly connected two rafts have a good agreement with the calculated ones for the same rafts being seen as a single whole structure. Meanwhile, the results of maximum power absorption of two hinged slender rafts in cuboid shape give a good agreement as well with those by using slender-body approximations. Then dynamics of a hinged two rafts are studied and results show how the maximum efficiency is affected by raft width and restricting the motions. |
| Keywords: | Mathematical model Maximum power absorption Connected rafts Motion constraints Wave excitation force/moment Wave damping |
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