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Acta Mechanica Sinica

, Volume 16, Issue 3, pp 264–272 | Cite as

Bifurcations of a cantilevered pipe conveying steady fluid with a terminal nozzle

  • Xu Jian
  • Huang Yuying
Article

Abstract

This paper studies interactions of pipe and fluid and deals with bifurcations of a cantilevered pipe conveying a steady fluid, clamped at one end and having a nozzle subjected to nonlinear constraints at the free end. Either the nozzle parameter or the flow velocity is taken as a variable parameter. The discrete equations of the system are obtained by the Ritz-Galerkin method. The static stability is studied by the Routh criteria. The method of averaging is employed to examine the analytical results and the chaotic motions. Three critical values are given. The first one makes the system lose the static stability by pitchfork bifurcation. The second one makes the system lose the dynamical stability by Hopf bifurcation. The third one makes the periodic motions of the system lose the stability by doubling-period bifurcation.

Key words

nonlinear dynamics bifurcation stability fluid-solid interaction 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2000

Authors and Affiliations

  • Xu Jian
    • 1
  • Huang Yuying
    • 2
  1. 1.Key Laboratory of Solid Mechanics of EMCTongji UniversityShanghaiChina
  2. 2.Department of Engineering MechanicsHuazhong University of Science & TechnologyWuhanChina

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