Dynamic response of a double, single-walled carbon nanotube under a moving nanoparticle based on modified nonlocal elasticity theory considering surface effects

In the present study, the surface effect on the forced vibration of a double, single-walled carbon nanotube system (DSWNTS) under excitation of a moving nanoparticle is analyzed based on the modified nonlocal elasticity theory. The nanotube surroundings are modeled by an elastic medium and it is assumed that two nanotubes are connected to each other continuously, using elastic springs. In a parametric study, influences of the nonlocal parameter, velocity of the moving nanoparticle, the elastic layer between the nanotubes, and the order of derivative on dynamic responses of the DSWNTS are investigated in detail. The results demonstrate that the variation of order of derivative affects dynamic deflection and frequency of DSWNTS considerably. In this study, the influences of additional terms in nonlocal theory and improving the accuracy of results by presenting a modified version of nonlocal elasticity theory is investigated. As the results have presented, there is a noticeable difference in comparison with a previous case and this issue certifies the importance of the presented work. Also, a general and exact validation has been performed on the results, differences percentages have been observed, and effective factors on these differences have been reported.