Abstract
In the reinforcement of the structure of carbon nanotubes, irregularities may occur as consequences of manufacturing defect, servicing reckless, environmental damages, etc. Hence, it is of great importance to deal with various constructions of single-walled carbon nanotubes to study
wave propagation. This study is the first attempt to show the impacts of the surface irregularity on waves propagating in a single-walled carbon nanotube (SWCNT) using Donnell thin shell approach. A new closed-form of the characteristics equation is derived. The results show that, the presence
of surface irregularities effects the natural frequency of longitudinal waves propagating in the single-walled carbon nanotubes. In this work, the theoretical investigation and numerical results are important to predict the phenomenon of wave propagation in irregular single-walled carbon nanotubes,
which can be used as a useful reference for the designs of Nano drive devices, Nano oscillators and Nano sensors.