Transient responses of two mutually interacting single-walled boron nitride nanotubes induced by a moving nanoparticle

Abstract

This paper reports a theoretical investigation on the dynamic behaviour of two mutually interacting singlewalled boron nitride nanotubes (BNNTs) under a moving nanoparticle. Both the electromechanical coupling effect and nonlocal effect are considered by employing respectively the theory of piezoelectricity and nonlocal elasticity. The interaction between the two BNNTs is considered by calculating the van der Waals (vdW) force between atoms on the respective nanotubes. The Hamilton’s principle is then used to derive the governing equations of motion based on the Rayleigh and Timoshenko beam model. The incremental harmonic balance method, Galerkin method and the Newmark time integration method are jointly employed to numerically obtain the transient vibration responses of the nanotubes. The influences of the size effect, aspect ratio, inertial force, electrical potential, as well as the mass and velocity of the nanoparticle on the transient responses are discussed.