Nonlocal wave propagation in rotating nanotube

Abstract

The present work deals with the wave dispersion behavior of a rotating nanotube using the nonlocal elasticity theory. The rotating nanobeam is modeled as an Euler–Bernoulli theory. The governing partial differential equation for a uniform rotating beam is derived incorporating the nonlocal scale effects. The spatial variation in centrifugal force is modeled in an average sense. Even though this averaging seems to be a crude approximation, one can use this as a powerful model in analyzing the wave dispersion characteristics of the rotating nanobeam. Spectrum and dispersion curves are obtained as a function of rotating speed and nonlocal scaling parameter. It has been shown that the dispersive flexural wave tends to behave non-dispersively at very high rotation speeds. Understanding the dynamic behavior of rotating nanostructures is important for practical development of nanomachines. At the nanoscale, the nonlocal effects often become more prominent. The numerical results are simulated for a rotating nanobeam as a waveguide. The results can provide useful guidance for the study and design of the next generation of nanodevices such as blades of a nanoturbine, nanogears, nanoscale molecular bearings etc, that make use of the wave propagation properties of rotating single-walled carbon nanotubes.