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输液管道流固耦合非线性动力稳定分析

张立翔 黄文虎

张立翔, 黄文虎. 输液管道流固耦合非线性动力稳定分析[J]. 应用数学和力学, 2002, 23(9): 951-960.
引用本文: 张立翔, 黄文虎. 输液管道流固耦合非线性动力稳定分析[J]. 应用数学和力学, 2002, 23(9): 951-960.
ZHANG Li-xiang, HUANG Wen-hu. Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes[J]. Applied Mathematics and Mechanics, 2002, 23(9): 951-960.
Citation: ZHANG Li-xiang, HUANG Wen-hu. Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes[J]. Applied Mathematics and Mechanics, 2002, 23(9): 951-960.

输液管道流固耦合非线性动力稳定分析

基金项目: 国家自然科学基金资助项目(50079007);水利部重点水利科技资助项目(SZ9830);云南省自然科学基金资助项目(97E003G)
详细信息
    作者简介:

    张立翔(1959- ),男,云南石屏人,教授,博士,博士生导师(E-mail:zhanglx@public.km.yn.cn);黄文虎(1926),男,教授,中国工程院院士.

  • 中图分类号: VO353.1;U137

Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes

  • 摘要: 将弱约束输流管道非定常流液固耦合运动按波-流-振动系统建模成由4个非线性微分方程组成的分析模型,按模态进行分解研究系统在多种耦合状态下具有的运动稳定特性.以悬臂梁管道为例分析了耦合系统奇点的属性,得到了前四阶模态运动的相图.结果说明,多种耦合条件下输流管道的稳定性变得更为复杂,各阶模态运动具有不同的稳定特性.
  • [1] Holmes P J.Pipes supported at both ends cannot flutter[J].Journal of Applied Mechanics,1978,45(3):619-622.
    [2] Holmes P J.Bifurcation to divergence and flutter in flow-induced oscillations:a finite dimensional analysis[J].Journal of Sound and Vibration,1977,53(4):471-503.
    [3] Bajaj A K,Sethna P R.Hopf bifurcation phenomena in tubes carrying a fluid[J].SIAM J Appl Math,1980,39(2):213-230.
    [4] Thurman A L,Mote C D Jr.Free,periodic,nonlinear oscillation of an axially moving trip[J].Journal of Applied Mechanics,1969,36(1):83-91.
    [5] Paidoussis M P,Issid N T.Dynamics stability of pipes conveying fluid[J].Journal of Sound and Vibration,1974,33(2):267-294.
    [6] Paidoussis M P.Flutter of conservative systems of pipes conveying incompressible fluid[J].Journal of Mechanical Engineering Science,1975,17(1):19-25.
    [7] Paidoussis M P.Fluid-induced instabilities of cylindrical structures[J].Applied Mechanics Reviews,1987,40(1):163-175.
    [8] Lundgren T S,Sethna P R,Bajaj A K.Stability boundaries for flow induced motion of tubes with an inclined terminal nozzle[J].Journal of Sound and Vibration,1979,64(4):553-571.
    [9] Bajaj A K,Sethna P R.Flow induced Bifurcation to three-dimensional oscillatory motion in continuous tubes[J].SIAM J Appl Math,1984,43(2):270-286.
    [10] Bajaj A K,Sethna P R.Effect of symmetry-breaking perturbation on flow-induced oscillations in tubes[J].Journal of Fluids and Structures,1991,5(4):651-679.
    [11] Rousslete J,Herrmann G.Flutter of articulated pipes at finite amplitude[J].Journal of Applied Mechanics,1977,44(1):154-158.
    [12] Li G X,Paidoussis P M.Stability,double degeneracy and chaos in cantilevered pipes conveying fluid[J].Journal of Non-Linear Mechanics,1994,29(1):83-107.
    [13] Paidoussis M P,Moon F C.Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid[J].Journal of Fluids and Structures,1988,2(4):567-591.
    [14] Paidoussis M P,Li G X,Moon F C.Chaotic oscillations of the autonomous system of constrained pipe conveying fluid[J].Journal of Sound and Vibration,1989,135(1):1-19.
    [15] Heinsbroek A G T J,Tijsseling A S.The influence of support rigidity on waterhammer pressures and pipe stresses[A].In:D S Miller Ed.BHRG Proceedings of International Conference on Water Pipeline Systems[C].London:Mechanical Engineering Publication Ltd,1994,17-29.
    [16] Paidoussis P M,Cusumano J P,Copeland G S.Low-dimensional chaos in a flexible tube conveying fluid[J].Journal of Applied Mechanics,1992,59(1):196-205.
    [17] ZHANG Li-xiang,Tijsseling A S,Vardy A E.FSI analysis of liquid-filled pipes[J].Journal of Sound and Vibration,1999,224(1):69-99.
    [18] 张立翔,黄文虎.输流管道非线性流固耦合振动的数学建模[J].水动力学研究与进展,2000,15(1):116-128.
    [19] Gorman D G,Reese J M,Zhang Y L.Vibration of a flexible pipe conveying viscous pulsating fluid flow[J].Journal of Sound and Vibration[J].2000,230(2):379-392.
    [20] Lee U,Pak C H,Hong S C.The dynamic of a piping system with internal unsteady flow[J].Journal of Sound and Vibration,1995,182(2):297-311.
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出版历程
  • 收稿日期:  2000-11-22
  • 修回日期:  2002-05-28
  • 刊出日期:  2002-09-15

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