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Three-dimensional vortex-induced vibrations of a circular cylinder predicted using a wake oscillator model
Affiliation:1. School of Ocean Engineering, Harbin Institute of Technology, Weihai, 264209, PR China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, PR China;3. State Key Laboratory of Oil and Gas Reservoir Geology and Exploration, Southwest Petroleum University, Chengdu, 610500, PR China;4. Engineering Technology Research Institute, PetroChina Southwest Oil and Gasfield Company, Chengdu, 610031, PR China;1. School of Engineering, Physics and Mathematics, University of Dundee, Dundee DD1 4HN, UK;2. College of Marine Geosciences, Ocean University of China, Qingdao 266100, China;1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploration, Southwest Petroleum University, Chengdu 610500, China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. Department of Civil Engineering, University of Nottingham, United Kingdom;2. School of Marine Science and Technology, Newcastle University, United Kingdom;1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploration, Southwest Petroleum University, Chengdu, 610500, PR China;2. Department of Mechanical Engineering, The University of Tokyo, Tokyo, 113-8656, Japan;3. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, PR China;4. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, PR China;5. CIMC Offshore Co. Ltd, Shenzhen, 518000, PR China;1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. Department of Hydraulic Engineering, Delft University of Technology, Stevinweg 1, 2628CN Delft, the Netherlands;3. Department of Engineering Structures, Delft University of Technology, Stevinweg 1, 2628CN Delft, the Netherlands
Abstract:This paper reports a numerical study based on a wake oscillator model, to determine the three-dimensional vortex-induced vibration (VIV) responses on a flexible cylinder with pinned-pinned boundary conditions subjected to a uniform flow. Four different aspect ratios have been selected for the study. The coupling equations of the structural oscillator models and wake oscillator models in both the cross-flow (CF) and in-line (IL) directions have been solved using a standard central difference method of the second order. The structural displacement, structural frequency, response wave pattern, response trajectory, and lift force coefficient, for four aspect ratios, have been compared. The numerical results establish that, for a small aspect ratio, the CF displacements have absolute standing wave behaviors without travelling wave behaviors, and the IL displacements have dominant standing wave behaviors with slight travelling wave behaviors. Further, the VIV trajectory is repeatable and displays figure-eight shapes. However, for a large aspect ratio, the CF displacements display identical characteristics with the IL displacements for a small aspect ratio, and the IL displacements for a large aspect ratio are simultaneously dominated by standing and travelling wave behaviors. Moreover, the VIV trajectory is apparently aperiodic and shows chaotic shapes.
Keywords:Vortex-induced vibration  Three-dimensional  Wake oscillator model  Aspect ratio  VIV trajectory  Transferred energy
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