Vibration analysis of fluid-conveying double-walled carbon nanotubes based on nonlocal elastic theory

Abstract

This paper presents an analytical solution to a coupled vibration problem of fluid-conveying double-walled carbon nanotubes (DWCNTs) and analyzes the influences of nonlocal effect, aspect ratio and van der Waals interaction on the fundamental frequency. According to the analysis, the results show that the vibration frequencies of the first three modes of DWCNTs are lower than those of single-walled carbon nanotubes (SWCNTs). The trend is more obvious when the flow velocity is high. It can also be found that the velocity of vibration-induced flutter instability for DWCNTs is lower than that of SWCNTs. In addition, the frequency of mode 1 of DWCNTs decreases with increasing nonlocal parameter. However, the frequency increases as the aspect ratio and the van der Waals interaction increased, especially at higher flow velocities.