Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration

By R. N. Govardhan, Charles H. K. Williamson. Journal of Fluid Mechanics, 2002

184 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/5544ed8531ebf532ecc526408011f7c1068e4ae2

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Citations in the corpus

Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators (2012, result): “This occurrence of “resonance forever” (Govardhan and Williamson, 2002) is in good qualitative agreement with recent experimental results (Jauvtis and Williamson, 2004).”
Vortex-induced vibrations of a sphere (2005, methodology): “(8.1) The critical mass ratio (m∗crit ) may be determined, as given by Govardhan & Williamson (2002), by evaluating the maximum value of −CEA that can be provided by the vortex dynamics, where the maximum is taken over all the points on the synchronized part of the amplitude response.”
The beginning of branching behaviour of vortex-induced vibration during two-dimensional flow (2006, methodology): “This classification work began with the work of Khalak and Williamson (1996) and has continued with the contributions of Khalak and Williamson (1999) and Govardhan and Williamson (2002).”
Experimental investigation of Reynolds number effect on vortex induced vibration of rigid circular cylinder on elastic supports (2011, background): “It can lock-in with subharmonic and superharmonic components (Sumer and Fredsoe, 1997; Govardhan and Williamson, 2002).”
Frequency lock-in is caused by coupled-mode flutter (2006, methodology): “To obtain a critical mass parameter of m C ¼ 0:54, as reported by Govardhan and Williamson (2002), a lift coefficient CL0 ¼ 0:64 approximately is needed, which is not outside the range of values reported in the literature.”
Mechanism of frequency lock-in in vortex-induced vibrations at low Reynolds numbers (2015, background): “…shedding frequency for the fixed cylinder, where the nonlinear resonance effect becomes stronger at low mass ratios (it is demonstrated that the range of the resonance region increases significantly with decrease of the mass ratio in Govardhan & Williamson (2000, 2002) and Willden & Graham (2006)).”
The effect of Reynolds number on the dynamics and wakes of freely rising and falling spheres (2010, background): “Such a phenomenon has also been found in the case of elastically mounted and tethered bodies undergoing vortex-induced vibration (VIV) transverse to a free stream (Govardhan & Williamson 2000, 2002, 2005; Williamson & Govardhan 2004).”
The effect of two degrees of freedom on vortex-induced vibration at low mass and damping (2004, methodology): “…the frequency of the lower branch in equation (5.8) suggests that one will have a large response which persists to infinite U ∗, but as explained in Govardhan & Williamson (2002), as the system tends to infinite U ∗ and infinite f ∗ CEAY = −m∗, (5.16) which gives the neat result, when combined…”