Composite action in connection of single-walled carbon nanotubes: Modeled as Flügge shell theory

On the basis of Flugge shell theory, the vibrations of single walled carbon nanotubes (SWCNTs) are investigated. The structure of armchair single walled carbon nanotubes are used here. Influences of length-to-diameter ratios and the two boundary conditions on the natural frequencies of armchair SWCNTs are examined. The Rayleigh-Ritz method is employed to determine eigen frequencies for single walled carbon nanotubes. The solution is obtained using the geometric characteristics and boundary conditions for natural frequencies of SWCNTs. The natural frequencies decrease as ratio of length to diameter increase and the effect of frequencies is less significant and more prominent for long tube. To assess the frequency confirmation carried out in this paper are compared with the earlier computations.

Automated summary

This study investigates the vibrations of single-walled carbon nanotubes based on Flugge shell theory, examining the influence of length-to-diameter ratios and boundary conditions on the natural frequencies of armchair SWCNTs. The Rayleigh-Ritz method is used to determine the eigen frequencies, with the results compared to earlier computations.