Analysis of Dilatation Waves Propagation in an Irregular Single-Walled Carbon Nanotube Under Initially Stresses

Abstract

This article studies the propagation of dilatation waves in an initially stresses single-walled carbon nanotube (SWCNT) with surface irregularity using Donnell thin shell approach. Taking into account the effects of surface irregularity and initial stresses, propagation of dilatation waves is studied and dispersion curves are plotted for in several figures. The effects of surface irregularity and initial stresses are confirmed by comparing obtained numerical results with those in cases of uniform and initial stress-free SWCNT. Obtained results turn out that, the increase of surface irregularity parameter increases the natural frequency of dilatation waves, while the increase of the initial stress parameter decreases the natural frequency of dilatation wave propagating in the single-walled carbon nanotube. To the author best knowledge, effects of surface irregularity and initial stresses on the dilatation waves propagation in a single-walled carbon nanotube has not yet been done before. The previous studies were devoted to the uniform and initial stresses-free carbon nanotubes. It should be emphasized that the dilatation waves propagating in a pre-stressed irregular single-walled carbon nanotube is novel, workable, and at the beginning of the path. In this manner, understanding the influences of surface irregularity as well as initial stresses on the natural frequency of dilatation waves may serve as useful references for the applications and designs of nano oscillators and nanodevices, in which single-walled carbon nanotubes act as the most prevalent nanocomposite structural element.