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A simplified method for time domain simulation of cross-flow vortex-induced vibrations
Institution: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. National University of Singapore, Department of Civil and Environmental Engineering, 1 Engineering Drive 2, Singapore 117576, Singapore;2. School of Marine Science and Technology, Newcastle University, Armstrong Building, Newcastle upon Tyne NE1 7RU, UK;1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;2. Collaborative Innovation Centre for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China;3. Marintek, Trondheim, Norway;4. CNOOC Research Institute, Beijing 100027, China;5. Massachusetts Institute of Technology, Cambridge, MA 02139, USA;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 Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. Collaborative Innovation Centre for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China;3. Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA, 94720, USA
Abstract:A new method for time domain simulation of cross-flow vortex-induced vibrations of slender circular cylindrical structures is developed. A model for the synchronization between the lift force and structure motion is derived from already established data for the cross-flow excitation coefficient. The proposed model is tested by numerical simulations, and the results are compared to experimental observations. When a sinusoidal cross-flow motion is given as input to the algorithm, the generated force time series are generally in good agreement with experimental measurements of cross-flow force in phase with cylinder velocity and acceleration. The model is also utilized in combination with time integration of the equation of motion to simulate the cross-flow vibration of a rigid cylinder. The resulting amplitude and frequency of motion as functions of reduced velocity are compared to published experimental results. In combination with the finite element method, the model is used to simulate cross-flow vibrations of a flexible cylinder in shear flow. Comparison with experiments shows that the model is capable of reproducing important quantities such as frequency, mode and amplitude, although some discrepancies are seen. This must be expected due to the complexity of the problem and the simple form of the present method.
Keywords:Vortex-induced vibrations  Simulation  Time domain  Synchronization
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