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- Title
DYNAMICAL PROPERTIES OF MULTI-WALLED CARBON NANOTUBES BASED ON A NONLOCAL ELASTICITY MODEL.
- Authors
YAN, Y.; ZHANG, L. X.; WANG, W. Q.; HE, X. Q.; WANG, C. M.
- Abstract
This paper investigates the free vibration of multi-walled carbon nanotubes (MWCNTs) with simply supported ends. Based on the nonlocal elasticity theory which allows the effects of small length scale and the more refined van der Waals (vdW) interaction formulas, the equation of motion is first derived and then solved analytically. The results reveal that the effects of the small length scale are significant for small aspect ratios and high radial vibration modes, and are instead insensitive to the number of layers of MWCNTs and weakly dependent on the wall thickness of MWNTs. This finding means that the effects of small length scale on complicated MWCNTs may be simplified to double-walled carbon nanotubes (DWCNTs) or even single-walled carbon nanotubes (SWCNTs).
- Subjects
CARBON nanotubes; ELASTICITY; VAN der Waals forces; EQUATIONS; STATISTICAL physics
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2008, Vol 22, Issue 28, p4975
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979208049169