Free vibrations of single-walled carbon nanotubes in the vicinity of a fully constrained graphene sheet

Firouz Abadi, R. D ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.commatsci.2011.09.010
  3. Publisher: 2012
  4. Abstract:
  5. Carbon nanotubes (CNTs) have been recently taken into consideration as mechanical resonators of distinguished capabilities. This study aims at investigating the free vibration characteristics of a single-walled CNT in the vicinity of a fully constrained graphene sheet. Using a molecular structural mechanics model and considering nonlinear van-der-Waals interactions, the static deformation of the nanotube is obtained using an iterative procedure. Then, the governing equations of motion are linearized about the static equilibrium state and the natural frequencies are obtained. The molecular structural mechanics model is verified using established results in literature and then a survey is performed on the natural frequencies of the CNT's beam-like modes in various distances from the graphene sheet
  6. Keywords:
  7. Carbon nanotube ; Free vibration ; Free vibration characteristic ; Governing equations of motion ; Graphene sheet ; Graphene sheets ; Iterative procedures ; Mechanical resonators ; Molecular structural mechanics ; Nonlinear vdW interaction ; Single-walled ; Static deformations ; Static equilibrium state ; Carbon nanotubes ; Equations of motion ; Molecular mechanics ; Natural frequencies ; Single-walled carbon nanotubes (SWCN) ; Van der Waals forces ; Vibrations (mechanical) ; Graphene
  8. Source: Computational Materials Science ; Volume 53, Issue 1 , 2012 , Pages 12-17 ; 09270256 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0927025611005179