Propagation of longitudinal waves in a single‐walled carbon nanotube under thermoelastic damping

Abstract

The propagation of the longitudinal waves in a single-walled carbon nanotube (SWCNT) considering the effects of thermoelastic damping is investigated in this Letter. The cylindrical shell is considered and the Donnell–Mushtari–Vlasov approach is utilised. The thermoelasticity governing equations are derived based on thin shell theory. Analytical expressions for the quality factor (Q-factor) of thermoelastic damping are presented for plane stress and strain conditions. The numerical results are presented to investigate the influence of some parameters on Q-factor of thermoelastic damping, such as the length of a nanotube, nanotube thickness and the ambient temperature. In addition, the dispersion curve of the longitudinal waves propagation in the SWCNT under the effects of thermoelastic damping is plotted. It can be seen that the Q-factor is proportional to the length and thickness of the SWCNT. It means that the increase in both length and radial thickness of the nanotube makes the Q-factor increase. For the final observation, it should be noted that the ambient temperature has an inverse effect on the Q-factor for the SWCNT. It means that the increase in ambient temperature makes the Q-factor decrease. These results can be helpful in the design of resonators and nanodevices.