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.

Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes

  • Received Date: 2000-11-22
  • Rev Recd Date: 2002-05-28
  • Publish Date: 2002-09-15
  • Nonlinearly dynamic stability of flexible liquid-conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique. The effect 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 4 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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