Title: Torsional structural properties of single-walled carbon nanotubes

Authors: Usik Lee, Changho Lee

Addresses: Department of Mechanical Engineering, Inha University, 253 Yonghyun-Dong, Nam-Gu, Incheon 402-751, Republic of Korea. ' Department of Mechanical Engineering, Inha University, 253 Yonghyun-Dong, Nam-Gu, Incheon 402-751, Republic of Korea

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.

Keywords: carbon nanotubes; CNT; single-walled carbon nanotube; dynamic continuum modelling; torsional rigidity; mass inertia property; natural frequency; energy equivalence; torsional vibration.

DOI: 10.1504/IJNP.2008.020269

International Journal of Nanoparticles, 2008 Vol.1 No.2, pp.152 - 163

Published online: 11 Sep 2008 *

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