Analysis of dilatation waves propagation in an irregular single-walled
carbon nanotube under initial compressional stresses
Abstract
This work is the first attempt to show the impacts of irregularity and
compressional initial stresses on the dilatation waves propagating in a
single-walled carbon nanotube (SWCNT) with the use of Donnell thin shell
approach. The irregularity is taken in the parabolic form at the surface
of SWCNT. A new closed-form of the characteristics equation of the
natural frequencies of propagation is derived and matched with the case
of the absent of irregularity and compressional stresses effects. The
theoretical analysis show that, the presence of irregularity and initial
compressional stresses effects the natural frequency of dilatation waves
propagating in SWCNT. The numerical results show that, the increasing of
the initial stress and irregularity parameters decreasing the values of
the natural frequencies of dilatation waves in SWCNTs. Thus, it can be
concluded that, the investigation presented may be provide useful
information for the next generation studies and accurate deigns of
nanomachines and can be used as a useful reference for the designs of
Nanodrive devices, Nanooscillators and Nanosensors.