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Analysis of nonlinear dynamic stability of liquid-converying pipes

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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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Kunming University of Science and Technology, 650051, Kumming, P R China

    Zhang Li-xiang Professor, Doctor

  2. School of Aeronautics, Harbin Institute of Technology, 150001, Harbin, P R China

    Huang Wen-hu Professor (Academican of Chinese Academy of Engineering)

Authors
  1. Zhang Li-xiang Professor, Doctor
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  2. Huang Wen-hu Professor
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Communicated by LI Ji-bin

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 Provicce (98E003G)

Biographies: ZHANG Li-xiang (1959−) HUANG Wen-hu (1926−)

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Li-xiang, Z., Wen-hu, H. Analysis of nonlinear dynamic stability of liquid-converying pipes. Appl Math Mech 23, 1071–1080 (2002). https://doi.org/10.1007/BF02437718

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  • DOI: https://doi.org/10.1007/BF02437718

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