Nonlocal dynamic response of double-nanotube-systems for delivery of lagged-inertial-nanoparticles

Abstract

This paper deals with transverse vibrations of doubly parallel nanotubes acted upon by doubly lagged-moving nanoparticles accounting for nonlocality. By exploiting the nonlocal Rayleigh and higher-order beam models, equations of motion of the nanosystem are obtained by considering the nonlocal inertial force as well as the lag of moving nanoparticles. For the case of ignorance of lateral inertia of moving nanoparticles, an analytical solution based on the Laplace transform method is suggested and the exact deformation fields of the nanosystem are presented for two patterns. In the case of consideration of the lateral inertia of moving nanoparticles, a numerical approach based on the Galerkin approach and admissible modes is suggested and the elasto-dynamic fields of the nanosystem are appropriately determined at each time. By comparing the predicted results by the proposed nonlocal numerical models with those of another work and the analytical approach, a reasonably good agreement is achieved. Subsequently, the roles of shear deformation, nonlocality, lag effect, geometry of the nanosystem, and kinematic properties of the moving nanoparticles on the dynamic deflections of the constitutive tubes are displayed. This scrutiny is aimed to be a solid base for examining vibrations of a membrane of nanotubes for delivery of multiple nanoparticles through their pores.