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Stability analysis of pipes conveying fluid with fractional viscoelastic model

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Abstract

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 dam** 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 dam**s 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.

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Authors and Affiliations

  1. Faculty of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran

    M. Javadi, M. A. Noorian & S. Irani

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  1. M. Javadi
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  2. M. A. Noorian
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  3. S. Irani
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Correspondence to M. A. Noorian.

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Javadi, M., Noorian, M.A. & Irani, S. Stability analysis of pipes conveying fluid with fractional viscoelastic model. Meccanica 54, 399–410 (2019). https://doi.org/10.1007/s11012-019-00950-3

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