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Vortex-induced vibration prediction via an impedance criterion

Sabino, Diogo and Fabre, David and Leontini, Justin and Lo Jacono, David Vortex-induced vibration prediction via an impedance criterion. (2020) Journal of Fluid Mechanics, 890 (A4). 1-22. ISSN 0022-1120

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Official URL: https://doi.org/10.1017/jfm.2020.104

Abstract

The vortex-induced vibration of a spring-mounted, damped, rigid circular cylinder, immersed in a Newtonian viscous flow and capable of moving in the direction orthogonal to the unperturbed flow is investigated for Reynolds numbers in the vicinity of the onset of unsteadiness (15<Re<60) using the incompressible linearised Navier–Stokes equations. In a first step, we solve the linear problem considering an imposed harmonic motion of the cylinder. Results are interpreted in terms of the mechanical impedance, i.e. the ratio between the vertical force coefficient and the cylinder velocity, which is represented as function of the Reynolds number and the driving frequency. Considering the energy transfer between the cylinder and the fluid, we show that impedance results provide a simple criterion allowing the prediction of the onset of instability of the coupled fluid-elastic structure case. A global stability analysis of the fully coupled fluid/cylinder system is then performed. The instability thresholds obtained by this second approach are found to be in perfect agreement with the predictions of the impedance-based criterion. A theoretical argument, based on asymptotic developments, is then provided to give a prediction of eigenvalues of the coupled problem, as well as to characterise the region of instability beyond the threshold as function of the reduced velocity U^*, the dimensionless mass m^* and the Reynolds number. The influence of the damping parameter ???? on the instability region is also explored.

Item Type:Article
HAL Id:hal-02945864
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Swinburne University of Technology (AUSTRALIA)
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Deposited On:12 May 2020 15:22

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