Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2423140
Title: Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics
Authors: Duan, W.H. 
Wang, C.M. 
Zhang, Y.Y. 
Issue Date: 2007
Source: Duan, W.H., Wang, C.M., 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) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2423140
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. © 2007 American Institute of Physics.
Source Title: Journal of Applied Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/59661
ISSN: 00218979
DOI: 10.1063/1.2423140
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