Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Mergen H. Ghayesh, Hamed Farokhi, Ali Farajpour

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)
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A scale-dependent model of nanobeams with large deformations is developed to investigate the influences of a geometric imperfection on the chaotic response of nanotubes. In order to comprehensively simulate the effects of being at nanoscales, a nonlocal strain gradient theory (NSGT) is utilised. To model a geometric imperfection, an initial deflection is taken into account for the nanosystem. Since the relative motion between the nanofluid and nanotube at the interface is not negligible, Karniadakis-Beskok assumptions are employed to incorporate the effects of this relative motion. Utilising an energy-work balance technique, the nonlinear governing equations are derived for the coupled motion of the nanofluid-conveying NSGT nanotube. Finally, the influences of the geometric imperfection on the motion response are analysed using a direct-time-integration approach and a Galerkin scheme.
Original languageEnglish
Pages (from-to)708-730
Number of pages23
JournalApplied Mathematical Modelling
Early online date8 May 2019
Publication statusPublished - 1 Oct 2019


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