Carbon Nanotube Beam Model and Free Vibration Analysis


International Journal Of Engineering Applied Sciences, vol.10, no.1, pp.1-4, 2018 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.24107/ijeas.414628
  • Title of Journal : International Journal Of Engineering Applied Sciences
  • Page Numbers: pp.1-4


In this paper, the free vibration behavior of single-walled carbon nanotubes (SWCNTs) is presented via a higher-order theory of nonlocal elastic cylindrical beams by taking the rotary inertia, shear deformation and small scale effect into account simultaneously. In our model, the shear-free surface condition is identically satisfied and does not need to introduce the shear correction factor. The characteristic equations of natural frequencies and the expressions of vibration mode shapes are derived in closed form for different boundary conditions. Compared our numerical results with those obtained by the molecular dynamics simulation, the effectiveness and validity of the present model are examined. The effects of the length-to-diameter ratio, the scale coefficient, the Poisson's ratio, chirality and boundary conditions on the free vibration of SWCNTs are investigated.