In the current work, the vibration characteristics of single-walled carbon nanotubes (SWCNTs) under different boundary conditions are investigated. A nonlocal elastic shell model is utilized, which accounts for the small scale effects and encompasses its classical continuum counterpart as a particular case. The variational form of the Flugge type equations is constructed to which the analytical Rayleigh–Ritz method is applied. Comprehensive results are attained for the resonant frequencies of vibrating SWCNTs. The significance of the small size effects on the resonant frequencies of SWCNTs is shown to be dependent on the geometric parameters of nanotubes. The effectiveness of the present analytical solution is assessed by the molecular dynamics simulations as a benchmark of good accuracy. It is found that, in contrast to the chirality, the boundary conditions have a significant effect on the appropriate values of nonlocal parameter.
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January 2012
Research Papers
Analytical Treatment of the Free Vibration of Single-Walled Carbon Nanotubes Based on the Nonlocal Flugge Shell Theory
R. Ansari,
R. Ansari
Department of Mechanical Engineering,
e-mail: r_ansari@guilan.ac.ir
University of Guilan
, P.O. Box 3756, Rasht, Iran
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H. Rouhi
H. Rouhi
Department of Mechanical Engineering,
University of Guilan
, P.O. Box 3756, Rasht, Iran
Search for other works by this author on:
R. Ansari
Department of Mechanical Engineering,
University of Guilan
, P.O. Box 3756, Rasht, Iran
e-mail: r_ansari@guilan.ac.ir
H. Rouhi
Department of Mechanical Engineering,
University of Guilan
, P.O. Box 3756, Rasht, Iran
J. Eng. Mater. Technol. Jan 2012, 134(1): 011008 (8 pages)
Published Online: December 8, 2011
Article history
Received:
February 24, 2011
Revised:
July 28, 2011
Online:
December 8, 2011
Published:
December 8, 2011
Citation
Ansari, R., and Rouhi, H. (December 8, 2011). "Analytical Treatment of the Free Vibration of Single-Walled Carbon Nanotubes Based on the Nonlocal Flugge Shell Theory." ASME. J. Eng. Mater. Technol. January 2012; 134(1): 011008. https://doi.org/10.1115/1.4005347
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