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Stability analysis of pipes conveying fluid with fractional viscoelastic model

  • M. Javadi
  • M. A. NoorianEmail author
  • S. Irani


Divergence and flutter instabilities of pipes conveying fluid with fractional viscoelastic model has been investigated in the present work. Attention is concentrated on the boundaries of the stability. Based on the Euler–Bernoulli beam theory for structural dynamics, viscoelastic fractional model for damping and, plug flow model for fluid flow, equation of motion has been derived. The effects of gravity, and distributed follower forces are also considered. By transferring the equation of motion to the Laplace domain and using the Galerkin method, the characteristic equations are obtained. By solving the eigenvalue problem, frequencies and dampings of the system have been obtained versus flow velocity. Some numerical test cases have been studied with viscoelastic fractional model and the effect of the fractional derivative order and the retardation time is investigated for various boundary conditions.


Pipes conveying fluid Fractional viscoelastic model Stability analysis Galerkin method 


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Conflict of interest

The authors declare that they have no conflict of interest


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Faculty of Aerospace EngineeringK.N. Toosi University of TechnologyTehranIran

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