Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics

Duan, W. H., Wang, C. M. and Zhang, Y. Y. (2007) Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics. Journal of Applied Physics, 101 2: . doi:10.1063/1.2423140

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Author Duan, W. H.
Wang, C. M.
Zhang, Y. Y.
Title Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics
Journal name Journal of Applied Physics   Check publisher's open access policy
ISSN 0021-8979
1089-7550
Publication date 2007-01-01
Year available 2007
Sub-type Article (original research)
DOI 10.1063/1.2423140
Open Access Status File (Publisher version)
Volume 101
Issue 2
Total pages 7
Place of publication Melville, NY, United States
Publisher A I P Publishing LLC
Language eng
Formatted abstract
In this paper, the small scaling parameter e0 of the nonlocal Timoshenko beam theory is calibrated for the free vibration problem of single-walled carbon nanotubes (SWCNTs). The calibration exercise is performed by using vibration frequencies generated from molecular dynamics simulations at room temperature. It was found that the calibrated values of e0 are rather different from published values of e0. Instead of a constant value, the calibrated e0 values vary with respect to length-to-diameter ratios, mode shapes, and boundary conditions of the SWCNTs. In addition, the physical meaning of the scaling parameter is explored. The results show that scaling parameter assists in converting the kinetic energy to the strain energy, thus enabling the kinetic energy to be equal to the strain energy. The calibrated e0 presented herein should be useful for researchers who are using the nonlocal beam theories for analysis of micro and nano beams/rods/tubes.
Keyword Physics, Applied
Physics
PHYSICS, APPLIED
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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Created: Mon, 16 Jan 2017, 21:36:13 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)