Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Abstract

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.