Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.physleta.2005.03.064
Title: Transverse vibrations of double-walled carbon nanotubes under compressive axial load
Authors: Zhang, Y. 
Liu, G. 
Han, X.
Keywords: Compressive axial load
Double-walled carbon nanotubes
Transverse vibration
Issue Date: 6-Jun-2005
Source: Zhang, Y., Liu, G., Han, X. (2005-06-06). Transverse vibrations of double-walled carbon nanotubes under compressive axial load. Physics Letters, Section A: General, Atomic and Solid State Physics 340 (1-4) : 258-266. ScholarBank@NUS Repository. https://doi.org/10.1016/j.physleta.2005.03.064
Abstract: Based on the Bernoulli-Euler beam theory, a double-elastic beam model is developed for transverse vibrations of double-walled carbon nanotubes under compressive axial load, which includes the interaction of van der Waals force between the inner and outer tubes and the effect of compressive axial load. Explicit expressions are derived for natural frequencies and associated amplitude ratios of the inner to the outer tubes for the case of simply supported double-walled carbon nanotubes. The influences of compressive axial load on the properties of vibrations are discussed. It is shown that the effects of compressive axial load on the natural frequencies of double-walled carbon nanotubes are sensitive to the vibration modes and aspect ratios. The natural frequencies are dependent on the axial load and decrease with increasing the axial load. However, the associated amplitude ratios of the inner to the outer tubes of double-walled carbon nanotubes are independent of the axial load. In addition, the critical axial buckling stress and strain for simply supported double-walled carbon nanotubes are obtained. © 2005 Elsevier B.V. All rights reserved.
Source Title: Physics Letters, Section A: General, Atomic and Solid State Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/61617
ISSN: 03759601
DOI: 10.1016/j.physleta.2005.03.064
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