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Bending-torsional instability of a viscoelastic cantilevered pipe conveying pulsating fluid with an inclined terminal nozzle

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Abstract

In the present study, dynamic stability of a viscoelastic cantilevered pipe conveying fluid which fluctuates harmonically about a mean flow velocity is considered; while the fluid flow is exhausted through an inclined end nozzle. The Euler-Bernoulli beam theory is used to model the pipe and fluid flow effects are modelled as a distributed load along the pipe which contains the inertia, Coriolis, centrifugal and induced pulsating fluid flow forces. Moreover, the end nozzle is modelled as a follower force which couples bending vibrations with torsional ones. The extended Hamilton's principle and the Galerkin method are used to derive the bending-torsional equations of motion. The coupled equations of motion are solved using Runge-Kutta algorithm with adaptive time step and the instability boundary is determined using the Floquet theory. Numerical results present effects of some parameters such as fluid flow fluctuation, bending-to-torsional rigidity ratio, nozzle inclination angle, nozzle mass and viscoelastic material on the stability margin of the system and some conclusions are drawn.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, 11115-8639, Iran

    A. R. Askarian, R. D. Firouz-Abadi & H. Haddadpour

  2. Department of Mechanical Engineering, Sharif University of Technology, Tehran, 11115-9567, Iran

    H. Abtahi

  3. Department of Mechanical Engineering and Material Science, Duke University, Durham, NC, 27708, USA

    E. H. Dowell

Authors
  1. A. R. Askarian
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  2. H. Abtahi
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  3. R. D. Firouz-Abadi
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  4. H. Haddadpour
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  5. E. H. Dowell
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Corresponding author

Correspondence to H. Haddadpour.

Additional information

Recommended by Associate Editor Hyoun Jin Kim

Hassan Haddadpour received his B.Sc. in Mechanical Engineering in 1993 from Abadan Institute of Technology in Iran. He also graduated from the M.Sc. program and Ph.D. for Mechanical Engineering in the applied design course from University of Tehran. He joined Sharif University of Technology in 2002. Currently, he is a Professor in the Department of Aerospace Engineering of Sharif University of Technology. His research interests are aeroelasticity, reduced order modeling and structural dynamics.

Abdolreza Askarian received his Ph.D. degree in Aerospace Engineering in 2017 from Sharif University of Technology, Iran. Currently, he is an Assistant Professor in the Department of Mechanical Engineering of Vali-e-Asr University of Rafsanjan, Iran. His research interests are in fluid and solid interaction, aeroelasticity and structural dynamics.

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Askarian, A.R., Abtahi, H., Firouz-Abadi, R.D. et al. Bending-torsional instability of a viscoelastic cantilevered pipe conveying pulsating fluid with an inclined terminal nozzle. J Mech Sci Technol 32, 2999–3008 (2018). https://doi.org/10.1007/s12206-018-0603-0

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  • DOI: https://doi.org/10.1007/s12206-018-0603-0

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