Dynamic analysis of multiple-nanobeam-systems acted upon by multiple moving nanoparticles accounting for nonlocality, lag, and lateral inertia

Abstract

This paper deals with nonlocal transverse vibrations of vertically aligned single-layered membranes from single-walled carbon nanotubes (SWCNTs) for transporting of nanoparticles. The consisting nanotubes are modeled via classical and shear deformable beams, while the moving nanoparticles is assumed as rigid-in contact-particles with dissimilar velocities accounting for their weight force, inertia, and lags. The nonlocal equations of motion are derived by considering the intertube van der Waals (vdW) forces and then solved for elasto-dynamic fields methodically. For two decorations of the nanosystem, the effects of inertia, shear deformation, nonlocality, velocities and lags of moving nanoparticles on the dynamic response of the nanosystem are explained in some detail. Among various scenarios of loadings, lags, and velocities of moving nanoparticles, the most critical case is introduced and discussed. By increasing the slenderness ratio of nanotubes, the role of shear deformation diminishes and the results of various models approach each other. Further, the influence of vdW forces on the dynamic deflections reduces and the discrepancies between the results of two understudy nanosystem’s patterns would reduce. The newly developed models in the present study can be employed for modeling of more complex nanosystems like as vertically aligned forests of SWCNTs for delivery of nanoparticles with different lags and velocities.