Linear stability approach to explain lock-in transition and time sharing in vortex-induced vibrations of slender structures

• Published in: Volume 5: Polar and Arctic Sciences and Technology; CFD and VIV
• Main Authors: Violette, R., Szydlowski, J., de Langre, Emmanuel
• Other Authors: Laboratoire d'hydrodynamique (LadHyX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Institut Français du Pétrole, affiliation inconnue, Département de Mécanique Appliquée, Institut Français du Pétrole, Rueil Malmaison, 92852, France
• Format: Conference Object
• Language: English
• Published: HAL CCSD 2009
• Subjects: Arctic
• Online Access: https://hal-polytechnique.archives-ouvertes.fr/hal-01025996; https://doi.org/10.1115/OMAE2009-80132

International audience In this paper, we use a linearized version of a wake oscillator model in order to understand VIV of flexible structures. By a simple analytical development on the stability of an infinite cable/wake system, we demonstrate the existence a temporal instability. The theoretical study is pushed further to finite structure, a tensioned cable, for which modes frequency, amplitude growth rate in time and velocity range of instability are easily derived. The developed concepts are used to explain experimentally observed behaviours of a low flexural rigidity tensioned beam undergoing VIV. Copyright © 2009 by ASME.