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

Ali Farajpour, Hamed Farokhi, Mergen H. Ghayesh

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
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Abstract

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.
Original languageEnglish
Pages (from-to)1883-1894
Number of pages12
JournalJVC/Journal of Vibration and Control
Volume25
Issue number12
Early online date16 Apr 2019
DOIs
Publication statusPublished - 1 Jun 2019

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