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Stability analyses of articulated rigid pipes conveying fluid with harmonic velocity using the method of multiple time scales

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Abstract

The stability of two rigid articulated pipes conveying fluid is considered. The velocity of fluid motion is harmonic. Parametric resonance for the second mode and 3:1 internal resonance in the presence of self-excited are considered. The method of multiple time scales has been applied for analysis. The effects of initial velocity u0, ratio fluid mass per total fluid mass and pipes mass γ and flow frequency β on the frequency response for steady state and stability analyses are studied. Some comparative studies on the stability region of system are conducted with the results available in the open literature.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Javad Mohammadi & Mansour Nikkhah-Bahrami

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  1. Javad Mohammadi
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  2. Mansour Nikkhah-Bahrami
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Correspondence to Mansour Nikkhah-Bahrami.

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Recommended by Editor No-cheol Park

Javad Mohammadi is a Ph.D. candidate in Mechanical Engineering at Science and Research, Islamic Azad University, Iran. His research interests include nonlinear dynamics, mechanical vibration, multiple scale method and solid-fluid interaction.

Mansour Nikkhah-Bahrami is a Professor in Science and Research, Islamic Azad University, Iran. His research interests include multibody dynamics and computational mechanics, numerical methods in engineering, solid-fluid interaction, mechanical vibration.

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Mohammadi, J., Nikkhah-Bahrami, M. Stability analyses of articulated rigid pipes conveying fluid with harmonic velocity using the method of multiple time scales. J Mech Sci Technol 34, 965–976 (2020). https://doi.org/10.1007/s12206-020-0235-z

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  • DOI: https://doi.org/10.1007/s12206-020-0235-z

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