Vortex-Induced Vibrations of an Elastic Circular Cylinder

Zhou, Chao; Lam, Kin Man

doi:10.1006/jfls.1998.0195

Cited by 145 publications

(101 citation statements)

References 32 publications

(39 reference statements)

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“…However, the vibration of the cylinder could be so large that it interferes with and controls the #ow pattern. The altered #ow "eld, in turn, changes the #ow-induced force, and through a nonlinear process, the vibration of the cylinder could increase still further until a limiting behaviour has been reached at resonance (Zhou et al 1999). The numerical modelling of this problem is quite complicated.…”

Section: Introductionmentioning

confidence: 98%

“…For the grid methods, such as the direct numerical simulation (Newman & Karniadakis 1997;Evangelinos & Karniadakis 1999;Evangelinos et al 2000) and the "nite element method (Mittal & Kumar 1999;Mendes & Branco 1999), the Navier}Stokes equations are solved directly. For the grid-free methods, such as the discrete vortex (Zhou et al 1999) and the surface vorticity method (Lewis 1991;Lam & Chan 1998), the #ow "eld is obtained by solving the vorticity transport equation and by invoking the Biot}Savart Law. Besides the direct numerical simulations (DNS), the usual assumption invoked for the other methods is a two-dimensional laminar #ow.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Studies of a Freely Vibrating Cylinder in a Cross-Flow

Liu

Chan

et al. 2001

Journal of Fluids and Structures

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Numerical Studies of a Freely Vibrating Cylinder in a Cross-Flow

Liu

Chan

et al. 2001

Journal of Fluids and Structures

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“…As in [3] Figure 1(a) shows the normalized displacement of the cylinder center for reduced damping parameters of Sg=1 and Sg=10. The results found are in good agreement with the computations presented in [3]. …”

Section: Circular Cylinder At Re=200mentioning

confidence: 99%

Fluid‐Structure Interaction Using LES ‐ A Partitioned Coupled Predictor‐Corrector Scheme

Breuer

Münsch

2008

Proc Appl Math and Mech

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“…Their results identify several facets of the main response and the harmonics, with the method's effectiveness dependent upon the degree of fluid-structure interaction. Zhou et al (1999) also use a wake oscillator approach, solving the fluid wake and the structure response in an iterative fashion. Krenk & Nielsen (1999) develop a coupled oscillator model using an energy transfer approach to arrive at the mutual forcing terms.…”

Section: (I) Wake-body Coupled Modelsmentioning

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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Vortex-Induced Vibrations of an Elastic Circular Cylinder

Cited by 145 publications

References 32 publications

Numerical Studies of a Freely Vibrating Cylinder in a Cross-Flow

Numerical Studies of a Freely Vibrating Cylinder in a Cross-Flow

Fluid‐Structure Interaction Using LES ‐ A Partitioned Coupled Predictor‐Corrector Scheme

Modelling vortex-induced fluid–structure interaction

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