Natural Frequencies of Single-Walled Carbon Nanotubes

Abstract

Fundamental natural frequencies of armchair single-walled carbon nanotubes (SWCNTs) are evaluated in this paper. As there is no universal agreement on the exact wall thickness of a SWCNT, some different wall thicknesses have been assumed by most of researchers to report a wide range of different elastic constants for a SWCNT. Thus, to compute the effective structural properties of SWCNTs needed for the evaluation of their fundamental natural frequencies, without needing to assume the controversial wall thickness, we adopt a new continuum modeling method developed in our previous study based on the energy equivalence principle.