Nonlinear dynamics of three-dimensional vortex-induced vibration prediction model for a flexible fluid-conveying pipe

Yang, Wenwu; Ai, Zhijiu; Zhang, Xiaodong; Chang, Xueping; Gou, Ruyi

doi:10.1016/j.ijmecsci.2018.02.005

Cited by 56 publications

(9 citation statements)

References 32 publications

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“…The nonlinear partial-differential equations (1) and (2) in combination with equation (8) are solved by finite element method (FEM). 32 Initial conditions are assigned in the initial state for the flexible riser (v = _ v = w = _ w = 0), with q = 2 and ( _ q = 0) for wake variables. The flexible riser is discrete by the Hermite cubic elements, the time step Dt = 0:0005 s and element size Dz = 0:05 m are chosen to solve the coupled FSI equations by convergence validations.…”

Section: Two-phase Flow Model In Risermentioning

confidence: 99%

“…Furthermore, nonlinear dynamics of the 3D VIV prediction model for a flexible fluid-conveying pipe were performed. 32 In addition, with respect to pipe conveying two-phase flow, Pettigrew and Taylor 33 reviewed the two-phase FIV mechanism and analyzed the effect of dynamic parameters. Monette and Pettigrew 34 presented a modified two-phase model and validated it with experimental data.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear vortex-induced vibration dynamics of a flexible pipe conveying two-phase flow

Yang

Chang

Gou

2019

Advances in Mechanical Engineering

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In this article, a vortex-induced vibration prediction model of a flexible riser conveying two-phase flow, including geometric and hydrodynamic nonlinearity, is established. A van der Pol wake oscillator is utilized to characterize the fluctuating lift forces. The finite element method is chosen to solve the coupled nonlinear fluid–structure interaction equations. The natural frequencies of the flexible riser are calculated to validate the method through comparisons with results from the literature. The modal analyses show that geometric nonlinearity has a significant effect on the natural frequency, and the critical internal velocity is reduced than those in linear analyses. The impacts of the gas volume fraction as functions of cross-flow velocity on the synchronization region, the displacement amplitudes, and the maximum stresses and frequency spectra have been investigated. The results show that an increase in the gas fraction results in the linear increase in natural frequencies and a wider synchronization region, and an increase in liquid flow rate led to the slight decrease in displacement amplitude and maximum stress within a small flow range.

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Section: Two-phase Flow Model In Risermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear vortex-induced vibration dynamics of a flexible pipe conveying two-phase flow

Yang

Chang

Gou

2019

Advances in Mechanical Engineering

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“…The wake oscillator model has recently been applied to other applications including energy harvesting (Franzini and Bunzel, 2018), flexible pipes carrying internal flows (Yang et al, 2018) and VIV in oscillatory flows (Opinel and Srinil, 2018). Nevertheless, an empirical sensitivity to justify the input versus output variabilities has not been studied in the aforesaid works.…”

Section: Wake-cylinder Oscillators For Viv Predictionmentioning

confidence: 99%

Empirical sensitivity of two-dimensional nonlinear wake–cylinder oscillators in cross-flow/in-line vortex-induced vibrations

Srinil

Opinel

Tagliaferri

2018

Journal of Fluids and Structures

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Phenomenological wake-cylinder oscillators have been extensively implemented for vortex-induced vibration (VIV) predictions. Although such models capture fundamental VIV phenomena, the maximum response estimations and comparisons with different experimental data reveal some quantitative discrepancies due to the model empiricism embedding some uncertainties through system variables. This vital issue has not been well addressed in the literature of VIV modelling. This paper presents a new comprehensive investigation into the sensitivity to empirical input variables of nonlinear wake-cylinder oscillators simulating the twodimensionally coupled cross-flow/in-line VIV and amplified mean displacements of a flexibly mounted circular cylinder in uniform flows. The fluid-structure coupling terms are advanced by accounting for the higher-order nonlinear effects of fluctuating lift-drag forces and steady-drag dynamic magnifications, depending on the relative flow-cylinder velocities. A random sampling and variance-based sensitivity studies are carried out using Monte Carlo simulations which are computationally efficient based on the reduced-order model. This enables a large series of parametric examinations. Individual contribution, relative importance,coupling and interdependence of multiple input variables affecting output uncertainties are qualitatively and quantitatively evaluated. The Reynolds number dependence is also captured by correlating the wake and hydrodynamic coefficients with experimental data. Parametric studies highlight greater variations in the predicted amplitudes and mean displacements of the cylinder two-degree-of-freedom VIV with a lower mass ratio. Numerical findings allow for the identification of a few most influential variables to be treated as the empirically tuned coefficients. The improved understanding of model versatility and sensitivity enhances the calibration confidence and the response predictability with a reduced computational effort.Highlights  Monte Carlo-based sensitivity analyses of nonlinear wake-cylinder oscillators are presented. Contribution, relative importance, coupling and interdependence of empirical variables are studied. Reynolds number dependence of empirical wake and hydrodynamic coefficients is accounted for. Most influential variables correspond to lift force wake oscillator governing cross-flow/in-line VIV. Input sensitivities and output uncertainties depend on system parameters and response amplitudes.

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“…en, wake oscillator models have been continuously improved by some researchers [4][5][6][7][8][9][10][11][12][13]. Based on wake oscillator models, some studies have analyzed the coupled in-line and cross-flow VIV response of long slender flexible cylinders in uniform flows [14][15][16], and some scholars have also focused their attention on the study of coupled in-line and cross-flow VIV response of long slender flexible cylinders in sheared flows [17][18][19][20][21][22][23]. Leclercq and de Langre [24] also studied the VIV response of cylinders with large in-line bending deformation.…”

Section: Introductionmentioning

confidence: 99%

Study on Vortex-Induced Vibration of Deep-Water Marine Drilling Risers in Linearly Sheared Flows in consideration of Changing Added Mass

Gao

Cong

Cui

et al. 2020

Mathematical Problems in Engineering

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In order to more accurately predict the coupled in-line and cross-flow vortex-induced vibration (VIV) response of deep-water marine drilling risers in linearly sheared flows, an improved three-dimensional time-domain coupled model based on van der Pol wake oscillator models was established in this paper. The impact of the in-line and cross-flow changing added mass coefficients was taken into account in the model. The finite element, Newmark-β, and Newton–Raphson methods were adopted to solve the coupled nonlinear partial differential equations. The entire numerical solution process was realized by a self-developed program based on MATLAB. Comparisons between the numerical calculations and the published experimental tests showed that the improved model can more accurately predict some main features of the coupled in-line and cross-flow VIV of long slender flexible risers in linearly sheared flows to some extent. The coupled in-line and cross-flow VIV of a real-size marine drilling riser, usually used in the deep-water oil/gas industry in the South China Sea, was analyzed. The influence of top tension force and seawater flow speed, as well as platform heave amplitude and frequency, on the riser in-line and cross-flow VIV was also discussed. The results show that the platform heave motion increases the VIV displacements and changes the magnitudes of peak frequencies as well as the components of frequencies. The platform heave motion also has a significant influence on the vibration modes of the middle and upper sections of the riser. The impact level of each factor on the in-line and cross-flow VIV response of the riser is different. The improved model and the results of this paper can be used as a reference for the engineering design of deep-water marine drilling risers.

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Nonlinear dynamics of three-dimensional vortex-induced vibration prediction model for a flexible fluid-conveying pipe

Cited by 56 publications

References 32 publications

Nonlinear vortex-induced vibration dynamics of a flexible pipe conveying two-phase flow

Nonlinear vortex-induced vibration dynamics of a flexible pipe conveying two-phase flow

Empirical sensitivity of two-dimensional nonlinear wake–cylinder oscillators in cross-flow/in-line vortex-induced vibrations

Study on Vortex-Induced Vibration of Deep-Water Marine Drilling Risers in Linearly Sheared Flows in consideration of Changing Added Mass

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