Longitudinal and transverse vibration of a single-walled carbon nanotube subjected to a moving nanoparticle accounting for both nonlocal and inertial effects

Single-walled carbon nanotubes (SWCNTs) can be promising delivery nanodevices for a diverse range of applications, however, little is known about their dynamical interactions with moving nanoscale particles. In this paper, dynamic response of a SWCNT subjected to a moving nanoparticle is examined in the framework of the nonlocal continuum theory of Eringen. The inertial effects of the moving nanoparticle and the existing friction between the nanoparticle surface and the inner surface of the SWCNT are incorporated in the formulation of the problem. The equivalent continuum structure associated with the SWCNT is considered and modeled using nonlocal Rayleigh beam theory under simply supported boundary conditions. The governing equations are then established both in the strong and weak forms. The set of linear equations are solved in the time domain using generalized Newmark-β method. The effects of mass weight of the moving nanoparticle, its velocity, and small scale effect parameter on the dynamic amplitude factors of longitudinal and transverse displacements as well as those of axial force and bending moment are studied in some detail. Additionally, the possibility of moving nanoparticle separation from the inner surface of the SWCNT is investigated. The role of influential parameters on the possibility of this phenomenon is also addressed and discussed.