UNSTEADY HYDROELASTICITY OF FLOATING PLATES |
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| Institution: | 1. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Portugal;2. Dipartimento di Fisica, Universitá di Torino, Via P. Giuria 1, 10125 Torino, Italy;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;3. Shanghai Key Laboratory of Mechanics in Engineering, Shanghai University, Shanghai 200072, China;1. Department of Cardiology, Keio University School of Medicine, Tokyo, Japan;2. Department of Rheumatology, Keio University School of Medicine, Tokyo, Japan;3. Department of Cardiology, Kyorin University School of Medicine, Tokyo, Japan;1. Liaoning Engineering Laboratory for Deep-Sea Floating Structures, School of Naval Architecture, Dalian University of Technology, Dalian, 116024, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, PR China;3. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, PR China;4. FSI/CED Group, University of Southampton, Southampton, S0167QF, UK;1. Barcelona Supercomputing Center (BSC), Spain;2. Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University, Chester Street, Manchester M1 5GD, United Kingdom |
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| Abstract: | Asymptotic and numerical analyses of unsteady hydroelastic behaviour of a floating plate due to given external loads are presented. The main parameters are the plate length and duration of the external loads. For very long plates (VLFS) the problem is decoupled and its approximate solution is given by the method of matched asymptotic expansions. For a short duration of the external loads and small length of the plate (impact onto a floating plate) the problem is coupled, but gravity effects can be neglected in determining the maximum of both the plate deflection and bending stresses in the plate. In this case, the problem is solved numerically by the method of normal modes. If the plate is short but the load duration is moderate, the rigid-body motion of the plate and its elastic vibrations can be approximately separated. In the general case, it is suggested that the coupled problem can be treated numerically by the method of normal modes. In order to construct an appropriate numerical algorithm, ideas inspired by the asymptotic analysis are used. |
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