Effective torsional properties of carbon nanotubes

In this paper, a dynamic continuum modeling method is proposed to evaluate effective torsional structural properties of single-walled carbon nanotubes without any need to assume their fictitious wall thickness. The dynamic continuum modeling method has been developed based on the energy equivalence principle as well as on the molecular mechanics. The proposed dynamic continuum modeling method is applied to armchair single-walled carbon nanotubes to evaluate their effective torsional rigidities and inertia properties. The effective torsional properties are then used to predict the natural frequencies of single-walled carbon nanotubes subjected to various boundary conditions.