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Meccanica
Erschienen in: Meccanica 14/2019

26.10.2019

Primary and secondary resonances in pipes conveying fluid with the fractional viscoelastic model

verfasst von: M. Javadi, M. A. Noorian, S. Irani

Erschienen in: Meccanica | Ausgabe 14/2019

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Abstract

Nonlinear forced vibrations of a fractional viscoelastic pipe conveying fluid exposed to the time-dependent excitations is investigated in the present work. Attention is focused in particular on the primary and secondary resonances with the Kelvin–Voigt fractional order constitutive relationship model. The nonlinear geometric partial differential equations due to stretching effect have been expressed by assumptions with Von Karman’s strain-displacement relation and Euler–Bernoulli beam theory. Viscoelastic fractional model for damping and stiffness, and also plug flow model for fluid flow are considered to derive the equation of motion. Based on the Galerkin truncation, the coupled Fluid-Solid interaction nonlinear equation transferred to ordinary differential equations. The method of multiple scales is adopted to analyze steady-state solutions for the primary, superharmonic, and subharmonic resonances. Finally, the detailed parametric studies on the nonlinear dynamic behavior are discussed. Results delineate that the fractional derivative order and the retardation time have significant effects on the oscillation exhibited for different values of flow velocity.
Vorheriger Artikel Hydrodynamic lubrication of textured infinitely long slider with cross-hatched texture
Nächster Artikel A numerical experiment of backward erosion piping: kinematics and micromechanics

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Metadaten
Titel
Primary and secondary resonances in pipes conveying fluid with the fractional viscoelastic model
verfasst von
M. Javadi
M. A. Noorian
S. Irani
Publikationsdatum
26.10.2019
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 14/2019
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-019-01068-2

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