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Vortex-induced vibrations of pipes conveying pulsating fluid

机译：输送脉动流体的管道的涡激振动

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摘要

The vortex-induced vibrations of a long flexible pipe conveying fluctuating flows are investigated via a two-mode discretization of the governing differential equations. In the present work, the internal fluid velocity is assumed to have a harmonically varying component superposed on a steady mean velocity. Direct perturbation method of multiple scales (MMS) is adopted to transform the governing nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs), which are then analyzed numerically for the pipe with principal parametric resonances during lock-in for each of the first two modes. The results indicate that in the case of a pipe containing fluctuating flows, the peak of vibration amplitudes is larger than that of a pipe conveying steady flows. With the increase of detuning parameter for the frequency of pulsating flow, the variation range of vibration amplitudes of the pipe enlarges first and then narrows, with jumping phenomenon that the vibration amplitude changes from multi-value to single-value and then returns to multi-value between the two regions of multi-value responses, which has not been discovered yet. From the amplitude-frequency response curves one can see that the hysteresis may occur with small increments or decrements of the detuning parameter. It is also found that if the pipe system is in the lock-in condition for a certain mode, the pulsating component can have an obvious impact on me dynamics of the pipe only when the parametric resonance occurs in the same mode. In addition, the method of numerical simulations (MNS) is directly employed to verify our implementation of MMS.
机译：通过控制微分方程的双模离散化，研究了输送波动流动的挠性长管的涡激振动。在本工作中，假定内部流体速度具有叠加在稳定平均速度上的谐波变化分量。采用多尺度直接摄动法（MMS）将控制的非线性偏微分方程（PDE）转换为常微分方程（ODE），然后针对每个管道在锁定期间具有主要参数共振的数值进行分析。前两种模式。结果表明，在包含波动流体的管道中，振动振幅的峰值大于输送稳定流动的管道的振幅。随着脉动频率失谐参数的增加，管道振动幅度的变化范围先增大然后缩小，出现跳跃现象，即振动幅度从多值变为单值，然后返回多值。尚未发现的多值响应两个区域之间的值。从幅度-频率响应曲线可以看出，磁滞可能会随着失谐参数的小幅增减而出现。还发现，如果管道系统在某种模式下处于锁定状态，则只有在相同模式下发生参数共振时，脉动分量才能对管道的动力学产生明显影响。此外，数值模拟（MNS）方法直接用于验证我们对MMS的实施。

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  • 来源
    《Ocean Engineering》 |2014年第1期|12-22|共11页
  • 作者

    H.L. Dai; L. Wang; Q. Qian; Q. Ni;

  • 作者单位

    Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China,Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;

    Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China,Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;

    Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China,Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;

    Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China,Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Vortex-induced vibration; Pipe conveying pulsating fluid; Parametric resonance; Lock-in; Method of multiple scales;

    机译：涡流引起的振动;输送脉动流体的管道;参数共振;锁定;多尺度方法;

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