The analysis of nonlinear vibrations of a pipe conveying an ideal fluid

DOI10.1016/j.euromechflu.2015.01.005zbMath1408.74024OpenAlexW2047766810MaRDI QIDQ1670885

Peng Zhang

Publication date: 6 September 2018

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2015.01.005

zbMATH Keywords

fractional derivativenonlinear vibrationsmethod of multiple time scalespipes conveying fluid

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10)

Related Items (9)

Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model ⋮ Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method ⋮ Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading ⋮ Primary and secondary resonances in pipes conveying fluid with the fractional viscoelastic model ⋮ Chaotic motion analysis of fluid-conveying viscoelastic nanotubes ⋮ Modeling and analysis of an axially acceleration beam based on a higher order beam theory ⋮ Nonlinear vibration analysis of a fractional dynamic model for the viscoelastic pipe conveying fluid ⋮ The fractional derivative expansion method in nonlinear dynamic analysis of structures ⋮ Nonlinear forced vibration of size-dependent functionally graded microbeams with damping effects

Cites Work

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• Asymptotic analysis of axially accelerating viscoelastic strings
• Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models
• Non-linear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity
• Bifurcation and chaos of slightly curved pipes
• Starting solutions for a viscoelastic fluid with fractional Burgers' model in an annular pipe
• Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model
• The Non-linear Equations of Motion of Pipes Conveying Fluid

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