Journal of Theoretical
and Applied Mechanics

54, 2, pp. 613-619, Warsaw 2016
DOI: 10.15632/jtam-pl.54.2.613

On the buckling and vibrational response of carbon nanotubes with spiral deformation

Sadegh Imani Yengejeh, Seyedeh Alieh Kazemi, Andreas Öchsner
Perfect and spiral models of carbon nanotubes (CNTs) have been simulated based on the finite element method and their vibrational and buckling behavior has been investigated. In order to evaluate their natural frequency and critical buckling load, computational tests have been conducted. It has been concluded that the existence of any geometrical modification in
the configuration of perfect CNTs results in a remarkable reduction in the natural frequency and critical buckling load of CNTs. It has been also revealed that the analytical solutions are in good agreement with the finite element simulation results in the cases of perfect and spiral CNTs.
Keywords: finite element method, carbon nanotubes, natural frequency, critical buckling load, spiral shape