Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0217979208049169
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. 
Keywords: Dynamical prop-erties
Free vibration
Multi-walled carbon nanotubes
Nonlocal elasticity model
Small length scale
Issue Date: 10-Nov-2008
Source: Yan, Y., Zhang, L.X., Wang, W.Q., He, X.Q., Wang, C.M. (2008-11-10). Dynamical properties of multi-walled carbon nanotubes based on a nonlocal elasticity model. International Journal of Modern Physics B 22 (28) : 4975-4986. ScholarBank@NUS Repository. https://doi.org/10.1142/S0217979208049169
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). © 2008 World Scientific Publishing Company.
Source Title: International Journal of Modern Physics B
URI: http://scholarbank.nus.edu.sg/handle/10635/65468
ISSN: 02179792
DOI: 10.1142/S0217979208049169
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