ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1071-1080.

ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

张立翔¹, 黄文虎²

1. Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming 650051, P.R.China;
2. School of Aeronautics, Harbin Institute of Technology, Harbin 150001, P.R.China

收稿日期:2000-11-20 修回日期:2002-05-28 出版日期:2002-09-18 发布日期:2002-09-18
通讯作者: LI Ji-bin
基金资助:
Foundation items:the National Natural Science Foundation of China(50079007);the Hydraulic Science Foundation of China Hydraulic Ministry(SZ9830);the Natural Science Foundation of Yunnan Province(98E003G)

ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

ZHANG Li-xiang¹, HUANG Wen-hu²

1. Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming 650051, P.R.China;
2. School of Aeronautics, Harbin Institute of Technology, Harbin 150001, P.R.China

Received:2000-11-20 Revised:2002-05-28 Online:2002-09-18 Published:2002-09-18
Supported by:
Foundation items:the National Natural Science Foundation of China(50079007);the Hydraulic Science Foundation of China Hydraulic Ministry(SZ9830);the Natural Science Foundation of Yunnan Province(98E003G)

摘要/Abstract

摘要： Nonlinearly dynamic stability of flexible liquid-conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique. The effects of Poisson. Junction and Friction couplings in the wave-flowing-vibration system on the pipe dynamic stability were included in the analytical model constituted by four nonlinear differential equations. An analyzing example of cantilevered pipe was done to illustrate the dynamic stability characteristics of the pipe in the full coupling mechanisms, and the phase curves related to the first four modal motions were drawn. The results show that the dynamic stable characteristics of the pipe are very complicated in the complete coupling mechanisms, and the kinds of the singularity points corresponding to the various modal motions are different.

Abstract: Nonlinearly dynamic stability of flexible liquid-conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique. The effects of Poisson. Junction and Friction couplings in the wave-flowing-vibration system on the pipe dynamic stability were included in the analytical model constituted by four nonlinear differential equations. An analyzing example of cantilevered pipe was done to illustrate the dynamic stability characteristics of the pipe in the full coupling mechanisms, and the phase curves related to the first four modal motions were drawn. The results show that the dynamic stable characteristics of the pipe are very complicated in the complete coupling mechanisms, and the kinds of the singularity points corresponding to the various modal motions are different.

中图分类号:

VO353.1
U137

张立翔;黄文虎. ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1071-1080.

ZHANG Li-xiang;HUANG Wen-hu. ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1071-1080.

参考文献

[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 pines 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 Maht,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 autonmous 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] ZHANG Li-xiang,HUANG Wen-hu.Nonlinear dynamical modeling of fluid-structure interaction of fluid-conveying pipes[J].Journal of hydrodynamics,2000,15(1):116-128. (in Chinese).
[19] Gorman D G,Reese J M,Zhang Y L.Vibration of a fiexible 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.

ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价