Effect of chiral angle and chiral index on the vibration of single-walled carbon nanotubes using nonlocal Euler-Bernoulli beam model

Abstract

The effect of various physical phenomena on the vibration characteristics of CNTs has attracted much interest. In this work, the effect of chiral index and chiral angle dependent from diameter on vibration of single-walled carbon nanotubes (SWCNTs) is investigated. The model of nonlocal Euler-Bernoulli beam is used to study the free vibration characteristics of SWCNT. Based on the nonlocal continuum theory, the governing equation of motion is formulated and derived. The influences of small-scale parameter, chirality of SWCNTs, vibrational mode number, aspect ratio (i.e. length–to-diameter ratio) of SWCNTs, chiral index and chiral angle on the vibration characteristics of SWCNTs are examined and discussed. The results indicate significant dependence of natural frequencies on the nonlocal parameter, chiral angle, chiral index, aspect ratio and chirality of SWCNTs. From numerical results, it is concluded that the vibration characteristics of SWCNT have been influenced by the chiral angle and chiral index. This work is supposed to be useful reference to researches who are designing nanodevices.