An overview of modeling and experiments of vortex-induced vibration of circular cylinders

Gabbai, Rene; Benaroya, Haym

doi:10.1016/j.jsv.2004.04.017

Cited by 586 publications

(264 citation statements)

References 83 publications

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“…Attempts to quantify VIV have been made for decades, many of which are discussed in the comprehensive reviews of Sarpkaya [1] , Williamson et al [2,3] and Gabbai et al [4] . But with the wide usages of long cylinder in the last decade, more efforts have been made to conduct suitable experiments and establish advanced analysis tools for the assessment of long cylinder VIV.…”

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confidence: 99%

Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators

Wang

et al. 2009

Sci. China Ser. G-Phys. Mech. Astron.

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The dynamics of long slender cylinders undergoing vortex-induced vibrations (VIV) is studied in this work. Long slender cylinders such as risers or tension legs are widely used in the field of ocean engineering. When the sea current flows past a cylinder, it will be excited due to vortex shedding. A three-dimensional time domain model is formulated to describe the response of the cylinder, in which the in-line (IL) and cross-flow (CF) deflections are coupled. The wake dynamics, including in-line and cross-flow vibrations, is represented using a pair of non-linear oscillators distributed along the cylinder. The wake oscillators are coupled to the dynamics of the long cylinder with the acceleration coupling term. A non-linear fluid force model is accounted for to reflect the relative motion of cylinder to current. The model is validated against the published data from a tank experiment with the free span riser. The comparisons show that some aspects due to VIV of long flexible cylinders can be reproduced by the proposed model, such as vibrating frequency, dominant mode number, occurrence and transition of the standing or traveling waves. In the case study, the simulations show that the IL curvature is not smaller than CF curvature, which indicates that both IL and CF vibrations are important for the structural fatigue damage.

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confidence: 99%

Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators

Wang

et al. 2009

Sci. China Ser. G-Phys. Mech. Astron.

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“…The form in Eq. (5) with the cylinder velocity coupling term βẏ is different from the van der Pol equation [16] typically employed in the literature with the wake damping ε(1 − q 2 )q and acceleration coupling βÿ terms [13]. Nevertheless, through a variable transformation by lettingq = p, the van der Pol oscillator of p can be rewritten [28].…”

Section: Nonlinear Fluid-structure Dynamic Modelmentioning

confidence: 99%

Two-dimensional vortex-induced vibration suppression through the cylinder transverse linear/nonlinear velocity feedback

Srinil

2017

Acta Mech

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Suppressing vortex-induced vibration (VIV) has recently attracted numerous researchers due to its practical significance in many engineering applications. Most of the previous studies have focused on a passive or active flow control. A structurally active control approach to mitigate a two-dimensional, nonlinear coupled, cross-flow/in-line VIV has not been well studied. This paper presents a reduced-order fluid-structure dynamic model and combined analytical-numerical solutions for the efficient suppression of two-dimensional VIV of a flexibly mounted circular cylinder in uniform flows. The theoretical model is based on the use of coupled Duffing-Rayleigh oscillators with three variables describing the cylinder cross-flow/in-line displacements and the strength of the fluid vortex circulation in the cylinder wake. These equations of fluid-structure motions contain geometric and hydrodynamic nonlinearities. Closed-loop linear and nonlinear velocity feedback controllers are implemented in the transverse direction governing the larger cross-flow response than the associated in-line counterpart. Approximated analytical expressions are derived by using the harmonic balance to explicitly capture the system nonlinear dynamic features and the effects of key dimensionless parameters. Parametric investigations are carried out to evaluate the linear versus nonlinear controller performance in terms of the maximum response suppression capability and the power requirement in a wide range of reduced flow velocities, mass ratios, and control gains. Over the main lock-in resonance region with coupled cross-flow/inline responses, the linear controller is found to be more efficient in suppressing the two-dimensional VIV by also modifying the system frequencies and phase relationships. Nevertheless, based on the power comparison, the nonlinear control is superior to the linear control for very small targeted controlled amplitudes of a very low-mass cylinder. These active control strategies may be further applied to the multimode VIV suppression of a long flexible cylinder with multi degrees of freedom.

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“…When the frequency of the vortex shedding f vs matches the cylinder oscillation frequency f ex , synchronization takes place and the cylinder can undergo large oscillations. A more detailed discussion on vortex-induced vibration of circular cylinders can be found in various recent review papers, including Sarpkaya (2004), Williamson & Govardhan (2004) and Gabbai & Benaroya (2005).…”

Section: (G ) the Euler-lagrange Equations And The Natural Boundary Cmentioning

confidence: 99%

Modelling vortex-induced fluid–structure interaction

Benaroya

Gabbai

2007

Phil. Trans. R. Soc. A.

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The principal goal of this research is developing physics-based, reduced-order, analytical models of nonlinear fluid-structure interactions associated with offshore structures. Our primary focus is to generalize the Hamilton's variational framework so that systems of flowoscillator equations can be derived from first principles. This is an extension of earlier work that led to a single energy equation describing the fluid-structure interaction. It is demonstrated here that flow-oscillator models are a subclass of the general, physical-based framework. A flow-oscillator model is a reduced-order mechanical model, generally comprising two mechanical oscillators, one modelling the structural oscillation and the other a nonlinear oscillator representing the fluid behaviour coupled to the structural motion.Reduced-order analytical model development continues to be carried out using a Hamilton's principle-based variational approach. This provides flexibility in the long run for generalizing the modelling paradigm to complex, three-dimensional problems with multiple degrees of freedom, although such extension is very difficult. As both experimental and analytical capabilities advance, the critical research path to developing and implementing fluid-structure interaction models entails -formulating generalized equations of motion, as a superset of the flow-oscillator models; and -developing experimentally derived, semi-analytical functions to describe key terms in the governing equations of motion. The developed variational approach yields a system of governing equations. This will allow modelling of multiple d.f. systems. The extensions derived generalize the Hamilton's variational formulation for such problems. The Navier-Stokes equations are derived and coupled to the structural oscillator. This general model has been shown to be a superset of the flow-oscillator model. Based on different assumptions, one can derive a variety of flowoscillator models.

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An overview of modeling and experiments of vortex-induced vibration of circular cylinders

Cited by 586 publications

References 83 publications

Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators

Flow-induced vibrations of long circular cylinders modeled by coupled nonlinear oscillators

Two-dimensional vortex-induced vibration suppression through the cylinder transverse linear/nonlinear velocity feedback

Modelling vortex-induced fluid–structure interaction

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