ANALYSIS OF NONLINEAR DYNAMIC STABILITY OF LIQUID-CONVEYING PIPES  

作　　者：ZHANG Li-xiang(张立翔) HUANG Wen-hu(黄文虎) 

机构地区：[1]Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming,650051, P R China School of Aeronautics, Harbin Institute of Technology, Harbin,150001, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第9期1071-1080,共10页应用数学和力学（英文版）

基　　金：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：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 on 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.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 on 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.

关 键 词：piping flow fluid structure interaction nonlinear vibration BIFURCATION 

分 类 号：VO353.1[交通运输工程] U137