Theoretical Model and Numerical Simulation of Vortex Induced Flexible Tube Vibration

FENG Zhi-peng; ZANG Feng-gang; ZHANG Yi-xiong; YU Xiao-fei; YE Xian-hui

doi:10.3879/j.issn.1000-0887.2014.05.012

Volume 35 Issue 5

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2014 > 35(5): 581-588

FENG Zhi-peng, ZANG Feng-gang, ZHANG Yi-xiong, YU Xiao-fei, YE Xian-hui. Theoretical Model and Numerical Simulation of Vortex Induced Flexible Tube Vibration[J]. Applied Mathematics and Mechanics, 2014, 35(5): 581-588. doi: 10.3879/j.issn.1000-0887.2014.05.012

Citation:

PDF( 2646 KB)

Theoretical Model and Numerical Simulation of Vortex Induced Flexible Tube Vibration

doi: 10.3879/j.issn.1000-0887.2014.05.012

National Key Laboratory of Science and Technology on Reactor System Design Technology,Nuclear Power Institute of China, Chengdu 610041, P.R.China

Received Date: 2013-10-30
Rev Recd Date: 2014-03-06
Publish Date: 2014-05-15

Abstract

Abstract

In order to predict vortex induced vibration (VIV) of flexible tubes, the flexible tube was modeled as an Euler-Bernoulli type beam and the equations of motion for the tube under VIV were derived based on the fluid force coefficients obtained through fluid-structure interaction simulation and the wake oscillator model respectively. Two theoretical models for predicting VIV of the flexible tube were presented. Firstly, the infinite-dimensional model was discretized with the 4-order Galerkin technique. The tube vibration responses induced by cross flow was predicted successfully with the fluid force coefficients obtained through fully fluid-structure coupling simulation. Then, the results predicted by the wake oscillator model were compared with those by the fluid-structure interaction simulation. The research shows that, the vibration amplitudes predicted by the harmonic fluid force model is smaller than that predicted by the fluid-structure interaction simulation. However, the wake oscillator model properly simulates the vortex induced vibration characteristics of the tube, which agrees well with the fluid-structure interaction numerical results. That indicates the wake oscillator model is a feasible way to predict the vortex induced flexible tube vibration.
- vortex induced vibration (VIV),
- wake oscillator model,
- lock-in,
- fluid-structure interaction

FullText(HTML)

References(9)

References

[1]	冯志鹏, 张毅雄, 臧峰刚. 直管束流固耦合振动的数值模拟[J]. 应用数学和力学, 2013,34(11): 1165-1172.(FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang. Numerical simulation of fluid-structure interaction for tube bundles[J].Applied Mathematics and Mechanics,2013,34(11): 1165-1172.(in Chinese))
[2]	Gabbai R D, Benaroya H. An overview of modeling and experiments of vortex-induced vibration of circular cylinders[J].Journal of Sound and Vibration,2005,282: 575-616.
[3]	Khalak A, Williamson C H K. Dynamics of a hydroelastic cylinder with very low mass and damping[J].Journal of Fluids and Structures,1996,10(5): 455-472.
[4]	Williamson C H K, Roshko A. Vortex formation in the wake of an oscillating cylinder[J].Journal of Fluids and Structures,1988,2(4): 355-381.
[5]	吴学敏, 黄维平. 考虑大变形的大柔性立管涡激振动模型[J]. 振动与冲击, 2013,32(18): 21-25, 30.(WU Xue-min, HUANG Wei-ping. A new model for predicting vortex-induced vibration of a long flexible riser with large deformation[J].Journal of Vibration and Shock,2013,32(18): 21-25, 30.(in Chinese))
[6]	Facchinetti M L, de Langre E, Biolley F. Coupling of structure and wake oscillators in vortex-induced vibrations[J].Journal of Fluids and Structures,2004,19(2): 123-140.
[7]	Violette R, de Langre E, Szydlowski J. Computation of vortex-induced vibrations of long structures using a wake oscillator model: comparison with DNS and experiments[J].Computers and Structures,2007,85(11/14): 1134-1141.
[8]	冯志鹏, 张毅雄, 臧峰刚, 叶献辉. 三维弹性管的涡致振动特性分析[J]. 应用数学和力学, 2013,34(9): 976-985.(FENG Zhi-peng, ZHANG Yi-xiong, ZANG Feng-gang, YE Xian-hui. Analysis of vortex-induced vibration characteristics for a three dimensional flexible tube[J].Applied Mathematics and Mechanics,2013,34(9): 976-985.(in Chinese))
[9]	Chen S S.Flow-Induced Vibration of Circular Cylindrical Structures [M]. Washington D C: Hemisphere Publishing Corporation, 1987.