Dynamic modelling of a single-walled carbon nanotube for nanoparticle delivery

In this paper, the dynamic behaviour of a single-walled carbon nanotube (SWCNT) for nanoparticle delivery is studied using non-local elasticity theory. The response of the delivery system depends on the time history and velocity of the moving nanoparticle. In addition, the interaction between the SWCNT and the moving nanoparticle, and the foundation of the SWCNT can also influence the dynamic behaviour of the system. The effects of foundation stiffness, confined stiffness, velocity ratio, non-local parameter and travel time on the behaviour are analysed using the Runge-Kutta method. The numerical solution is in agreement with the analytical result for the special case. The numerical analysis shows that increasing the non-local parameter, confined stiffness and foundation stiffness decreases the dynamic displacement of SWCNT. However, increasing the velocity ratio increases the maximum displacement.