Acta Mechanica Solida Sinica

, Volume 20, Issue 4, pp 350–356 | Cite as

Dynamic stability of a beam-model viscoelastic pipe for conveying pulsative fluid

  • Xiaodong Yang
  • Tianzhi Yang
  • Jiduo Jin
Article

Abstract

The dynamic stability in transverse vibration of a viscoelastic pipe for conveying pulsative fluid is investigated for the simply-supported case. The material property of the beam-model pipe is described by the Kelvin-type viscoelastic constitutive relation. The axial fluid speed is characterized as simple harmonic variation about a constant mean speed. The method of multiple scales is applied directly to the governing partial differential equation without discretization when the viscoelastic damping and the periodical excitation are considered small. The stability conditions are presented in the case of subharmonic and combination resonance. Numerical results show the effect of viscosity and mass ratio on instability regions.

Key words

parametric resonance fluid conveying pipes multiple scale method 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Païdoussis, M.P., Flow-induced instabilities of cylindrical structures. Applied Mechanics Reviews, 1987, 40: 163–175.CrossRefGoogle Scholar
  2. [2]
    Païdoussis, M.P. and Li, G.X., Pipes conveying fluid: a model dynamical problems. International Journal of Fluids and Structures, 1993, 7: 137–204.CrossRefGoogle Scholar
  3. [3]
    Païdoussis, M.P., Fluid-Structure Interactions, Vol 1: Slender Structures and Axial Flow. San Diego, CA: Academic Press Inc., 1998.Google Scholar
  4. [4]
    Lee, S.Y. and Mote, C.D. Jr, A generalized treatment of the energetics of translating continua, Part I: Strings and second order tensioned pipes. Journal of Sound and Vibration, 1977, 204: 717–734.CrossRefGoogle Scholar
  5. [5]
    Lee, S.Y. and Mote, C.D. Jr, A generalized treatment of the energetics of translating continua, Part II: Beams and fluid conveying pipes. Journal of Sound and Vibration, 1977, 204: 725–753.Google Scholar
  6. [6]
    Pakdemirli, M., Nayfeh, A. and Nayfeh, A.H., Analysis of one-to-one autoparametric resonances in cable-discretization vs. direct treatment. Nonlinear Dynamics, 1995, 8: 65–83.MathSciNetGoogle Scholar
  7. [7]
    Pakdemirli, M. and Boyaci, H., Comparison of direct-perturbation methods with discretization-perturbation methods for non-linear vibrations. Journal of Sound and Vibration, 1995, 186: 837–845.CrossRefGoogle Scholar
  8. [8]
    Öz, H.R. and Boyaci, H., Transverse vibrations of tensioned pipes conveying fluid with time-dependent velocity. Journal of Sound and Vibration, 2000, 236: 259–276.CrossRefGoogle Scholar
  9. [9]
    Ni Qiao and Huang Yuying, Differential quadrature method to stability analysis of pipes conveying fluid with spring support. Acta Mechanica Solida Sinica, 2000, 13(4): 320–327.Google Scholar
  10. [10]
    Öz, H.R. and Pakdemirli, M., Vibrations of an axially moving beam with time dependent velocity. Journal of Sound and Vibration, 1999, 227: 239–257.CrossRefGoogle Scholar
  11. [11]
    Öz, H.R., On the vibrations of an axially traveling beam on fixed supports with variable velocity. Journal of Sound and Vibration, 2001, 239: 556–564.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Xiaodong Yang
    • 1
  • Tianzhi Yang
    • 1
  • Jiduo Jin
    • 1
  1. 1.Department of Engineering MechnicsShenyang Institute of Aeronautical EngineeringShenyangChina

Personalised recommendations