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

Dynamic stability of a beam-model viscoelastic pipe for conveying pulsative fluid 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

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

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Publisher
Springer Journals
Copyright
2007 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-007-0741-x
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Dec 1, 2007

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

References

  • Flow-induced instabilities of cylindrical structures
    MP Païdoussis
  • Pipes conveying fluid: a model dynamical problems
    MP Païdoussis, GX Li
  • Fluid-Structure Interactions, Vol 1: Slender Structures and Axial Flow
    MP Païdoussis
  • A generalized treatment of the energetics of translating continua, Part I: Strings and second order tensioned pipes
    SY Lee, CD J Mote
  • A generalized treatment of the energetics of translating continua, Part II: Beams and fluid conveying pipes
    SY Lee, CD J Mote
  • Analysis of one-to-one autoparametric resonances in cable-discretization vs. direct treatment
    M Pakdemirli, A Nayfeh, AH Nayfeh
  • Comparison of direct-perturbation methods with discretization-perturbation methods for non-linear vibrations
    M Pakdemirli, H Boyaci
  • Transverse vibrations of tensioned pipes conveying fluid with time-dependent velocity
    HR Öz, H Boyaci
  • Differential quadrature method to stability analysis of pipes conveying fluid with spring support
    N Qiao, H Yuying
  • Vibrations of an axially moving beam with time dependent velocity
    HR Öz, M Pakdemirli
  • On the vibrations of an axially traveling beam on fixed supports with variable velocity
    HR Öz