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Multi-frequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows

Bourguet, Rémi and Karniadakis, George E. and Triantafyllou, Michael S. Multi-frequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows. (2013) Journal of Fluids and Structures, 41. 33-42. ISSN 0889-9746

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Official URL: http://dx.doi.org/10.1016/j.jfluidstructs.2012.07.007


The multi-frequency vortex-induced vibrations of a cylindrical tensioned beam of aspect ratio 200, free to move in the in-line and cross-flow directions within first a linearly and then an exponentially sheared current are investigated by means of direct numerical simulation, at a Reynolds number equal to 330. The shape of the inflow profile impacts the spectral content of the mixed standing traveling wave structural responses: narrowband vibrations are excited within the lock-in area, which is limited to a single region lying in the high flow velocity zone, for the linear shear case; in contrast, the lock-in condition occurs at several spanwise locations in the exponential shear case, resulting in broadband responses, containing a wide range of excited frequencies and spatial wavenumbers. The broadband in-line and cross-flow vibrations occurring for the exponential shear current have a phase difference that lies within a specific range along the entire span; this differs from the phase drift noted for narrowband responses in linear shear flow. Lower vibration amplitudes, time-averaged and fluctuating in-line force coefficients are observed for the exponential shear current. The cross-flow force coefficient has comparable magnitude for both inflow profiles along the span, except in zones where the broadband vibrations are under the lock-in condition but not the narrowband ones. As in the narrowband case, the fluid forces associated with the broadband responses are dominated by high frequencies related to high-wavenumber vibration components. Considerable variability of the effective added mass coefficients along the span is noted in both cases.

Item Type:Article
HAL Id:hal-03523318
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Brown University (USA)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Massachusetts Institute of Technology - MIT (USA)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:15 Nov 2013 08:45

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