Tube diameter versus frequency: Smart monitoring system based on single walled carbon nanotubes

In this study, vibrations of armchair (5, 5) single walled carbon nanotubes (SNTs) have been investigated based on orthotropic model. The influence of the tube diameter is investigated for four different boundary conditions. The frequencies are higher for higher tube diameter. Effect of two different wave number varying the tube diameter values is presented. As the tube diameter increases, the frequency first rises and reaches its maximum value. These kinds of frequencies are crucial to the stability of carbon nanotubes. It has been observed that frequencies rise as wave numbers decrease. Compared to simply supported and simply supported frequency boundary conditions, the clamped-clamped curves are larger. The CNTs are more stable the more the tube foundation can withstand a load from physical circumstances.