Vibration analysis of a viscous-fluid-conveying single-walled carbon nanotube embedded in an elastic medium

Abstract

This paper analyzes the influences of nonlocal effect, viscosity effect, aspect ratio, and elastic medium constant on the fundamental frequency of a viscous-fluid-conveying single-walled carbon nanotube (SWCNT) embedded in an elastic medium. According to the analysis, the results show that the nonlocal effect on the frequency becomes significant as the flow velocity of viscous fluid decreases. As the value of dimensionless nonlocal parameter decreases, the frequency of SWCNT increases under the same velocity conditions. In addition, the viscosity effect on the frequency of SWCNT becomes significant as the flow velocity of viscous fluid increases. Under the same velocity conditions, the frequency increases as the values of the viscous parameter, the aspect ratio, and the elastic medium constant increase. Furthermore, it can also be found that a SWCNT embedded in a stiff matrix with a large aspect ratio conveying a highly viscous fluid makes the phenomenon of vibration-induced flutter instability delay to occur until a higher flow velocity.