A nonlinear viscoelastic model for NSGT nanotubes conveying fluid incorporating slip boundary conditions

A nonlinear viscoelastic model is developed for the dynamics of nanotubes conveying fluid. The influences of strain gradients and stress nonlocality are incorporated via a nonlocal strain gradient theory (NSGT). Since at nanoscales, the assumptions of no-slip boundary conditions are not valid, the B...

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Bibliographic Details
Published in:Journal of vibration and control 2019-06, Vol.25 (12), p.1883-1894
Main Authors: Farajpour, Ali, Farokhi, Hamed, Ghayesh, Mergen H.
Format: Article
Language:English
Subjects:
Boundary conditions
Conveying
Differential equations
Frequency response
Galerkin method
Mathematical models
Nanotechnology
Nanotubes
Nonlinear differential equations
Nonlinear equations
Nonlinear response
Rapid flow
Slip
Supercritical flow
Viscoelasticity
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Summary:A nonlinear viscoelastic model is developed for the dynamics of nanotubes conveying fluid. The influences of strain gradients and stress nonlocality are incorporated via a nonlocal strain gradient theory (NSGT). Since at nanoscales, the assumptions of no-slip boundary conditions are not valid, the Beskok–Karniadakis theory is used to overcome this problem. The coupled nonlinear differential equations are derived via performing an energy/work balance. The derived equations along the transverse and axial axes are simultaneously solved to obtain the nonlinear frequency response. For this purpose, Galerkin's technique together with a continuation method are utilized. The frequency response is investigated in both subcritical and supercritical flow regimes.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546319839882