Modelling the dynamics of a nanocapillary system with a moving mass using the non‐local strain gradient theory
Cevat Özarpa, İsmail Esen
Abstract
In this study, the dynamic behaviour of a Timoshenko nanobeam (a nanocapillary system) exposed to a moving mass is modelled by using the non‐local strain gradient theory. Equations of motion of the Timoshenko nanobeam exposed to the moving mass are obtained by considering the strain gradient elasticity effect that provides toughening and the non‐local elasticity effects that provide softening. These equations are converted to the weak form finite element equation by applying the full shape functions of the two‐node Timoshenko beam element together with the Galerkin's method. The effects of the amount of different non‐local parameters and the mass ratio and velocity of the moving mass on the dynamics of the nanobeam are presented. The frequency change of the nanotube due to the interaction with the moving mass is highlighted, and it has been shown that when the effect of the mass considered, the fundamental frequency has dropped about 55% when the mass ratio of the moving mass and the beam is 0.5. Moreover, the amount of the velocity and the mass of the moving load change the dynamic response of the tube.