Analysis of the radial breathing like mode vibration of double-walled carbon nanotubes using doublet mechanics

This paper investigates the radial breathing mode (RBLMS) vibration of double-walled carbon nanotubes (DWCNTs) based on a new theory called doublet mechanics (DM) with a scale parameter. To this end, DWCNTs are considered as two concentric elastic thin cylindrical shells bounded together with van der Waals forces between them. Using DM, the natural frequencies are derived in the RBLMS mode of vibration. The advantage of these analytical formulas is that they are explicitly dependent to scale parameter and chirality effect. It is shown that the chirality and scale parameter play significant role in the RBLMS vibration response of DWCNTs. To validate the accuracy and efficiency of this work, the results obtained herein are compared with the existing theoretical and experimental results and good agreement is observed.

Keywords:

doublet mechanics , natural frequency , scale parameter , radial breathing like mode , free vibration , double-walled carbon nanotubes