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: 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

Theoretical Model and Numerical Simulation of Vortex Induced Flexible Tube Vibration

doi: 10.3879/j.issn.1000-0887.2014.05.012
  • Received Date: 2013-10-30
  • Rev Recd Date: 2014-03-06
  • Publish Date: 2014-05-15
  • 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.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1013) PDF downloads(849) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return