Modes of vortex formation and frequency response of a freely vibrating cylinder

By R. N. Govardhan, Charles H. K. Williamson. Journal of Fluid Mechanics, 2000

944 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/39881b3145af74b8264785a149f4c3d5e932984c

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Citations in the corpus

Vortex-induced vibrations of a sphere (2005, methodology): “Govardhan & Williamson (2000) showed that there is a phase jump corresponding to each of the mode transitions; the Upper ↔ Lower transition is associated with a jump in the conventionally used ‘total phase’ (between total transverse force and displacement), while the Initial ↔ Upper mode jump is…”
Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators (2012, background): “D VIV case may achieve such high values as 1.5D (Dahl et al., 2006) or even 2D (Leong and Wei, 2008), being much greater than typical values of about 1D observed in the cross-flow- only VIV (Govardhan and Williamson, 2000; Khalak and Williamson, 1999).”
An overview of modeling and experiments of vortex-induced vibration of circular cylinders (2005, neutral): “[45–47].”
The effect of two degrees of freedom on vortex-induced vibration at low mass and damping (2004, methodology): “(4.17) The idea of experimentally measuring a vortex force coefficient (CVO), and a ‘vortex phase’ (φV ), quite distinct from the classically used coefficient (CY ) and phase (φY ) for the total force, was introduced in Govardhan & Williamson (2000).”
Experimental investigation of flow-induced vibration on isolated and tandem circular cylinders fitted with strakes (2010, methodology): “As noted by Govardhan and Williamson (2000), the phase averaging is useful to obtain clearer pictures of the spanwise vorticity and velocity fields of the flow, without smaller and weaker structures developing as a result of intermittent small-scale three-dimensionalities, mainly at the high Reynold”
Prediction of vortex-induced vibration response by employing controlled motion (2009, methodology): “Bishop & Hassan (1964), Mercier (1973), Sarpkaya (1977) and Carberry, Sheridan & Rockwell (2001, 2005) measured the fluid forcing on a vibrating cylinder, over a range of frequencies and at selected fixed values of amplitude (which we shall call ‘amplitude cuts’).”
Vortex-induced vibrations of a circular cylinder at low Reynolds numbers (2007, methodology): “Govardhan & Williamson (2000) have shown that for a freely vibrating cylinder with low mass-damping (m∗ζ ), the phase jump is not associated with a sudden change in the timing of vortex formation.”
Experimental investigation of Reynolds number effect on vortex induced vibration of rigid circular cylinder on elastic supports (2011, methodology): “A good agreement between the mode predicted by the Williamson–Roshko map and the vortex shedding mode of the different response branches for a low (m*+Ca)z system was confirmed by flow visualization (Govardhan and Williamson, 2000).”
Coupling of Structure and Wake Oscillators in Vortex-Induced Vibrations (2004, methodology): “Following [21], in the sequel we will refer to as a vortex lift coefficient and to = = as the total lift coefficient.”
The effect of Reynolds number on the dynamics and wakes of freely rising and falling spheres (2010, methodology): “Our previous studies (Govardhan & Williamson 2000, 2005) triggered our interest in the dynamics of freely rising and falling bodies, such as cylinders (Horowitz & Williamson 2006, submitted), or the present case of spheres.”
The beginning of branching behaviour of vortex-induced vibration during two-dimensional flow (2006, methodology): “This lower peak response is clearly demonstrated in the ‘‘Griffin’’ plot of Govardhan and Williamson (2000), where peak amplitude is plotted against a combined mass-damping parameter.”
Fluid–structure interaction of a square cylinder at different angles of attack (2014, methodology): “The result of these studies most pertinent to the current study is that the flow response for light cylinders (m∗ 6 10) can be broken down into four distinct regimes as a function of increasing U∗, typically referred to as branches (Khalak & Williamson 1996; Govardhan & Williamson 2000).”