Based on Euler beam theory to evaluate the GHz frequencies versus length-to-radius ratios: Continuum model

In this paper, the frequency behavior of armchair single walled carbon nanotubes is explored for the influence of length-radius ratio based on Euler beam theory. This continuum model is used to determine the frequencies under clampedclamped and clamped-free edge conditions. It is investigated that the frequency pattern is higher for higher indices of armchair single walled carbon nanotubes. For these two boundary conditions, the frequencies of clamped boundary condition are almost higher than the other condition. As frequencies deceases fastly for initial values of length-to-radius ratio. After that the frequency decreases and behaves moderately and linearly. The frequencies are shown in GHz throughout the study. The outcomes of results from computer software MATLAB are tested with other computational techniques and found valid.