Lift-Oscillator Model of Vortex-Induced Vibration

Hartlen, ROnald T.; Currie, I. G.

doi:10.1061/jmcea3.0001276

Cited by 322 publications

(66 citation statements)

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“…The widely employed approach is the so-called wake oscillator model, which was first put forward by Birkhoff and Zarantanello (1957). The ensuing researches of using a nonlinear oscillator equation to model the lift are Hartlen and Currie (1970) and Skop and Griffin (1975). They used, respectively, Rayleigh and van der Pol oscillators to model the lift force and coupled this oscillator with the cylinder’s motion by a velocity term.…”

Section: Problem Formulationmentioning

confidence: 99%

Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations

Dai

Abdelkefi

Wang

2014

Journal of Intelligent Material Systems and Structures

165

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A nonlinear distributed-parameter model for harvesting energy from vortex-induced vibrations of a piezoelectric cantilever beam with a circular cylinder attached to its end is developed and validated with experimental results. A reduced-order model is derived by using the Euler–Lagrange principle and implementing the Galerkin discretization. A van der Pol wake oscillator is used to model the vortex-induced lift force. A nonlinear analysis is performed to determine the required number of modes in the Galerkin discretization. It is demonstrated that a one- or two-mode approximation in the Galerkin approach is not sufficient to evaluate the performance of the harvester. Based on a five-mode approximation in the Galerkin approach, an identification for the van der Pol wake oscillator coefficients is performed. To design efficient piezoaeroelastic energy harvesters that can generate energy at low freestream velocities, further analysis is performed to investigate the effects of the cylinder’s tip mass, length of the piezoelectric sheet, and electrical load resistance on the synchronization region and performance of the harvester. The results show that depending on the operating freestream velocity, the cylinder’s tip mass, length of the piezoelectric sheet, and electrical load resistance can be optimized to design enhanced piezoaeroelastic energy harvesters from vortex-induced vibrations.

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Section: Problem Formulationmentioning

confidence: 99%

Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations

Dai

Abdelkefi

Wang

2014

Journal of Intelligent Material Systems and Structures

165

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“…Bishop and Hassan (1963) were two of the earliest to suggest using a self-excited oscillator to represent the forces over a cylinder due to vortex shedding. Hartlen and Currie (1970) formulated a remarkable model for elastically restrained cylinders that are restricted to cross-flow motions. They used a Rayleigh oscillator to describe the lift force and coupled it to the cylinder motion by a linear velocity term.…”

Section: Literature Summarymentioning

confidence: 99%

“…Currie and Turnball (1987) proposed a similar model for the fluctuations in the drag. Skop and Griffin (1973) pointed out that the parameters in the model of Hartlen and Currie (1970) lacked clear connections to physical parameters of the problem. They proposed a modified van der Pol oscillator to represent the lift coupled to a linear equation of motion for the structure.…”

Section: Literature Summarymentioning

confidence: 99%

Modeling Steady-state and Transient Forces on a Cylinder

Marzouk

Nayfeh

Akhtar

et al. 2007

Journal of Vibration and Control

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Numerical simulations of flow past a stationary circular cylinder at different Reynolds numbers have been performed using a computational fluid dynamics (CFD) solver that is based on the Reynoldsaveraged Navier-Stokes equations (RANS). The results obtained are used to develop reduced-order models for the lift and drag coefficients. The models do not only match the numerical simulation results in the time domain, but also in the spectral domain. They capture the steady-state region with excellent accuracy. Further, the models are verified by comparing their results in the transient region with their counterparts from the CFD simulations and a very good agreement is found. The work performed here is a step towards building models for vortex-induced vibrations (VIV) encountered in risers, spars, and other offshore structures.

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“…In the light of estimating the vibrations of cylinders under the excitations of the vortex shedding, Bishop and Hassan have suggested that the wake of the cylinder behaves as a conventional mechanical oscillator (Bishop and Hassan, 1964). Following their suggestion, Hartlen and Currie proposed a wake oscillator model, in which the fluctuating lift coefficient satisfies a Van Der Pol type equation (Hartlen and Currie, 1970). Based on the Hartlen-Currie model, Skop and Griffin devised a modified Van Der Pol equation and developed relations between empirical constants and physically meaningful parameters (Skop and Griffin, 1973).…”

Section: Introductionmentioning

confidence: 99%

Predictions for combined In-Line and Cross-Flow VIV responses with a novel model for estimation of tension

Feng

Chen

et al. 2019

Ocean Engineering

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The dynamic responses of slender cylinders with high aspect ratios undergoing vortex-induced vibrations (VIV) are studied.In detail, a three-dimensional model predicting the VIV responses in both the In-Line and Cross-Flow directions of slender cylinders is proposed based on the nonlinear equation governing the dynamic deformation and a wake oscillator. The tension in the cylinder is estimated according to the incoming stream velocities. To predict the VIV responses, the cylinder is discretized into finite segments, and the vibrations of each segment are estimated from solving the governing equation when the excitation forces are modelled using the Van Der Pol's wake oscillator. Considering that the wake oscillator model estimates the excitation forces according to the dynamics of the cylinder, it reveals the interactions between the flow and the dynamics of the cylinder. In order to verify the model calculating the mean tension, the VIV responses, which has been experimentally tested, is numerically studied. The comparison between the numerically predicted and experimentally measured responses shows that, the approach, especially the novel tension model, proposed herein is reliable as the frequency

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Lift-Oscillator Model of Vortex-Induced Vibration

Cited by 322 publications

References 0 publications

Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations

Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations

Modeling Steady-state and Transient Forces on a Cylinder

Predictions for combined In-Line and Cross-Flow VIV responses with a novel model for estimation of tension

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