Abstract
In this paper, a dynamic continuum modelling method is developed based on the molecular mechanics as well as on the energy equivalence principle for the single-walled carbon nanotubes subject to torsional vibration. The dynamic continuum modelling method enables one to evaluate torsional structural properties without assuming any fictitious wall thickness of single-walled carbon nanotubes. The present dynamic continuum modelling method is then applied to armchair single-walled carbon nanotubes to evaluate torsional rigidities and mass inertia properties. By using the evaluated torsional structural properties, the natural frequencies of carbon nanotubes are also investigated.
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