A non-local modeling for the influence of fluid forces on vibration characteristics of carbon nanotubes

Abstract

This paper studies the effects of fluid forces and magnetic fields on the vibration characteristics of single-walled carbon nanotube (SWCNT). The force of the fluid on the SWCNT tube wall is derived by using the Hamilton’s variation principle, and the Lorentz magnetic force obtained from Maxwell's relationship. The governing equations of motion are based on the non-local beam model under the action of fluid and longitudinal magnetic field. Moreover, in the present investigation, an analytical approach is also proposed to study the effect of fluid, small-scale effect and longitudinal magnetic field on the vibration frequency of single-walled fluid-conveying carbon nanotube. The numerical results show that the fluid has a significant influence on the vibration characteristics of SWCNTs, and the effect of the high-speed fluid on the carbon nanotube (CNT) wall cannot be neglected.