Modeling of vibrations of carbon nanotubes

The continuum model and molecular dynamic (MD) simulation are effective in the modeling of mechanic behaviors of nano-materials. This paper presents a brief review of vibrations of single-walled carbon nanotubes (SWCNTs) investigated using the nonlocal beam model and nonlocal rod model and MD simulation. The nonlocal continuum models play an important role in studying vibration of CNTs. The applicability of the nonlocal continuum models based on the MD simulation results is summarized.