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

Rémi Violette (1) , Julien Szydlowski (2) , Emmanuel de Langre (1)

1 LadHyX - Laboratoire d'hydrodynamique
2 Institut Français du Pétrole

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.

Domaines: Physique [physics]

Rémi Violette, Julien Szydlowski, Emmanuel de Langre. Linear stability approach to explain lock-in transition and time sharing in vortex-induced vibrations of slender structures. 28th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2009), May 2009, Honolulu, United States. pp.869-876, ⟨10.1115/OMAE2009-80132⟩. ⟨hal-01025996⟩