Evolution of thickness variation of chiral nanotubes via wide-ranging computational approach

In this paper, the vibrational frequencies with different values of height-to-diameter ratios are investigated using modified orthotropic shell model to note the small scale effects. The generality of orthotropic shell model has proven to give better results of single walled carbon nanotubes. The closed form solution gives better accuracy, even for higher frequencies but arriving at the closed form solution might prove to be a challenge. For higher frequencies, the analysis of structure is implemented with well-known approach. The chiral structure is complex structure and frequencies are extracted with to clamped-clamped (C-C) and clamped-free (C-F) boundary conditions. The frequencies (THz) are investigated against the height-to-diameter ratios. The frequencies increase on increasing the height-to-diameter ratios. The behavior of the frequencies is occurring as sag in its nature. The results are validated and excellent similarity is observed.