ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

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

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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)

Abstract

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.

2010 MSC Number:

VO353.1
U137

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

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ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES

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