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Tserpes, K.I., Papanikos, P., “Finite element modeling of single-walled carbon nanotubes”, Comp. Part B: Eng., 36, 468-477, 2005.

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Article

Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory

1Department of Applied Mechanics and Mechanical Engineering, Technical University of Košice, Faculty of Mechanical Engineering, Košice, Slovakia


American Journal of Mechanical Engineering. 2014, Vol. 2 No. 7, 195-198
DOI: 10.12691/ajme-2-7-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
Jozef Bocko, Pavol Lengvarský. Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory. American Journal of Mechanical Engineering. 2014; 2(7):195-198. doi: 10.12691/ajme-2-7-5.

Correspondence to: Jozef  Bocko, Department of Applied Mechanics and Mechanical Engineering, Technical University of Košice, Faculty of Mechanical Engineering, Košice, Slovakia. Email: jozef.bocko@tuke.sk

Abstract

The free bending vibration of single-walled carbon nanotubes (SWCNTs) is investigated in the present paper. A continuum approach based on nonlocal theory of beam bending is used for natural frequency computation. Analytical solutions of frequency equations are given for four types boundary conditions: clamped-free (C-F), simply-simply supported (S-S), clamped-simply supported (C-S) and clamped-clamped (C-C). The graphical representations of numerical results are shown for the first case of boundary conditions clamped end - free end.

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