4.2 Article

Nonlocal Continuum Model and Molecular Dynamics for Free Vibration of Single-Walled Carbon Nanotubes

Journal

JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY
Volume 11, Issue 12, Pages 10401-10407

Publisher

AMER SCIENTIFIC PUBLISHERS
DOI: 10.1166/jnn.2011.5729

Keywords

Carbon Nanotube; Vibration; Nonlocal Continuum Model; Molecular Dynamics

Funding

  1. Research Grants Council of the Hong Kong Special Administrative Region, China [9041674, CityU 118411]
  2. China National Natural Science Foundation [11172253]
  3. Canada Research Chair Program

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Free transverse, longitudinal and torsional vibrations of single-walled carbon nanotubes (SWCNTs) are investigated through nonlocal beam model, nonlocal rod model and verified by molecular dynamics (MD) simulations. The nonlocal Timoshenko beam model offers a better prediction of the fundamental frequencies of shorter SWCNTs, such as a (5, 5) SWCNT shorter than 3.5 nm, than local beam models. The nonlocal rod model is employed to study the longitudinal and torsional vibrations of SWCNT and found to enable a good prediction of the MD results for shorter SWCNTs. Nonlocal and local continuum models provide a good agreement with MD results for relatively longer SWCNTs, such as (5, 5) SWCNTs longer than 3.5 nm. The scale parameter in nonlocal beam and rod models is estimated by calibrations from MD results.

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