American Journal of Mechanical Engineering
ISSN (Print): 2328-4102 ISSN (Online): 2328-4110 Website: http://www.sciepub.com/journal/ajme Editor-in-chief: Kambiz Ebrahimi, Dr. SRINIVASA VENKATESHAPPA CHIKKOL
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American Journal of Mechanical Engineering. 2014, 2(7), 195-198
DOI: 10.12691/ajme-2-7-5
Open AccessArticle

Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory

Jozef Bocko1, and Pavol Lengvarský1

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

Pub. Date: October 06, 2014

Cite this paper:
Jozef Bocko and 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

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.

Keywords:
single-walled carbon nanotube vibration beam nonlocal theory free vibration

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