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Vortex-induced vibrations and waves under shear flow with a wake oscillator model
Institution:1. LIMSI-CNRS, Université Paris-Sud, Orsay, France;2. Institut Français du Pétrole, Rueil-Malmaison, France;3. Département de Mécanique, LadHyX, École Polytechnique, Palaiseau, France;1. Key Lab of Structures Dynamic Behavior and Control (Harbin Institute of Technology), Ministry of Education, Harbin, Heilongjiang 150090, China;2. School of Civil Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150090, China;3. Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA;1. Department of Mechanical Engineering, Universitat Rovira i Virgili (URV), 43007 Tarragona, Spain;2. Naval Architecture Department, Technical University of Madrid (UPM), 28040 Madrid, Spain;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
Abstract:This paper addresses the interaction of a slender structure and a sheared incident cross-flow. The oscillating wake of the structure is modeled using a distribution of van der Pol oscillators. Elementary configurations are first considered to assess the basic phenomena and structure dynamics allowing to reliably investigate more complex and realistic cases. The scope of the study thus ranges from a forced oscillating cylinder to a tensioned cable. This last configuration is found to experience wave-packets of vortex-induced motion due to a series of local lock-ins. A theoretical analysis is carried-out to predict the wave-packets amplitude and distribution. It is shown to be in reasonable agreement with the results of numerical simulations. This indicates that the system behavior can be described in terms of the local interactions between the wake and the structure only.
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