Effect of small scale on the dynamic characteristic of carbon nanotubes under axially oscillating loading

This paper presents the report of an investigation into the effect of small scale parameter on the natural frequency and the dynamic stability of carbon nanotubes (single-wall and double-walls) under axially oscillating loading, based on a non-local shell model and a non-local effective model of multi-walled carbon nanotubes. It is seen from example calculations that effects of the small scale parameter on dynamic characteristics of SWNT and DWNTs under axial loadings are dependent on the loading form and the geometrical size of carbon nanotubes. The results show that utilizing a non-local effective model to calculate the dynamic characteristics of MWNTs considering small scale parameters, under axial tensional or compression loadings, is simple and feasible.