Coupling of structure and wake oscillators in vortex-induced vibrations

Abstract : A class of low-order models for vortex-induced vibrations is analyzed. A classical van der Pol equation models the near wake dynamics describing the fluctuating nature of vortex shedding. This wake oscillator interacts with the equation of motion of a one degree-of-freedom structural oscillator and several types of linear coupling terms modelling the fluid-structure interaction are considered. The model dynamics is investigated analytically and discussed with regard to the choice of the coupling terms and the values of model parameters. Closed-form relations of the model response are derived and compared to experimental results on forced and free vortex-induced vibrations. This allows us to set the values of all model parameters, then leads to the choice or the most appropriate coupling model. A linear inertia force acting on the fluid is thus found to describe most of the features of vortex-induced vibration phenomenology, such as Griffin plots and lock-in domains. © 2003 Elsevier Ltd. All rights reserved.
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M.L. Facchinetti, Emmanuel De Langre, F. Biolley. Coupling of structure and wake oscillators in vortex-induced vibrations. Journal of Fluids and Structures, Elsevier, 2004, 19 (2), pp.123-140. 〈10.1016/j.jfluidstructs.2003.12.004〉. 〈hal-01024953〉



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