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气液两相流下L型管道非线性动力学与抑振设计研究

贾程 邢浩然 王强 杨宝山 马越 李民强 刘胡杨 王磊恒 代胡亮

贾程, 邢浩然, 王强, 杨宝山, 马越, 李民强, 刘胡杨, 王磊恒, 代胡亮. 气液两相流下L型管道非线性动力学与抑振设计研究[J]. 应用数学和力学, 2026, 47(3): 263-272. doi: 10.21656/1000-0887.460098
引用本文: 贾程, 邢浩然, 王强, 杨宝山, 马越, 李民强, 刘胡杨, 王磊恒, 代胡亮. 气液两相流下L型管道非线性动力学与抑振设计研究[J]. 应用数学和力学, 2026, 47(3): 263-272. doi: 10.21656/1000-0887.460098
JIA Cheng, XING Haoran, WANG Qiang, YANG Baoshan, MA Yue, LI Mingqiang, LIU Huyang, WANG Leiheng, DAI Huliang. Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow[J]. Applied Mathematics and Mechanics, 2026, 47(3): 263-272. doi: 10.21656/1000-0887.460098
Citation: JIA Cheng, XING Haoran, WANG Qiang, YANG Baoshan, MA Yue, LI Mingqiang, LIU Huyang, WANG Leiheng, DAI Huliang. Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow[J]. Applied Mathematics and Mechanics, 2026, 47(3): 263-272. doi: 10.21656/1000-0887.460098

气液两相流下L型管道非线性动力学与抑振设计研究

doi: 10.21656/1000-0887.460098
(我刊青年编委代胡亮来稿)
基金项目: 

国家自然科学基金 12272140

国家自然科学基金 12322201

详细信息
    作者简介:

    贾程(2002—),男,硕士生(E-mail: m202472047@hust.edu.cn)

    通讯作者:

    代胡亮(1986—),男,教授,博士生导师(通信作者. E-mail: daihulianglx@hust.edu.cn)

  • 中图分类号: O359

Nonlinear Dynamics and Vibration Suppression of L-Shaped Pipes Conveying 2-Phase Flow

(Contributed by DAI Huliang, M.AMM Youth Editorial Board)
  • 摘要: 本文考虑均匀气泡流两相流动特性,采用绝对节点坐标描述法,基于Euler-Lagrange方程,建立了输送两相流体时L型悬臂管道的非线性动力学理论模型. 首先,将基于理论模型计算得到的静变形结果与有限元法进行了对比验证,并分析了气体体积分数对管道静变形和稳定性的影响. 然后,研究了在不同空泡份额下,管道随液体流速增大发生的非线性动力学行为,着重研究了空泡份额对管道动态分岔特性的影响. 最后,提出了抑制管道振动的最优支承设计,使得L型管道振动位移和应变幅值达到最小.
    1)  (我刊青年编委代胡亮来稿)
  • 图  1  管道模型示意图及建模方法

    Figure  1.  Schematic of the pipe configuration and modeling method

    图  2  xG=0.5时,L型悬臂管道不同流速下变形位移对比图(左图)和FEM计算总位移云图(右图)

      为了解释图中的颜色,读者可以参考本文的电子网页版本,后同.

    Figure  2.  Comparison diagrams for deformation displacements of the L-shaped cantilevered pipe for xG=0.5 (left image) and total displacements with the FEM (right image)

    图  3  L型悬臂管道的临界流速和空隙率随气体体积分数的变化曲线

    Figure  3.  Variations of the critical flow velocity and the void ratio for the L-shaped cantilevered pipe with the gas volume fraction

    图  4  L型悬臂管道自由端XY方向的全局坐标随液相流速变化分岔图

    Figure  4.  The bifurcation diagrams of global coordinates varing with the liquid phase flow rate for the free end in X and Y directions of the L-shaped cantilevered pipe

    图  5  简支支承安装位置示意图

    Figure  5.  Schematic diagram for different installation positions of simple supports

    图  6  液相流速UL=12 m/s时,不同支承位置情况下管道沿轴向屈曲变形的总位移

    Figure  6.  Total displacements of the buckling deformation for the pipe along the axis with different positions of supports for UL=12 m/s

    图  7  不同支承位置下管道屈曲变形总位移幅值随液相流速UL的变化曲线

    Figure  7.  Total displacements of the buckling deformation with increasing UL for the pipe with different positions of supports

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出版历程
  • 收稿日期:  2025-05-16
  • 修回日期:  2025-06-17
  • 刊出日期:  2026-03-01

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