Nonlinear Analysis on Flow-Induced Vibration of Single-Walled Carbon Nanotubes Employing Analytical Methods

In this research, the vibration and frequency of single-walled carbon nanotubes (SWCNTs) with conveyance a fluid flow are assessed analytically. The nanotube is imbedded in a Pasternak foundation and the nonlocal beam model is utilized to study on flow-induced vibration of the SWCNT. The differential transform method and variation iteration scheme have been employed to solve the nonlinear differential equation of the problem. The validity of proposed approaches is evaluated by comparing with numerical findings obtained using Keller Box method (KBM). The effects of main parameters including velocity of flow, nonlinear amplitude, nonlocal parameter as well as axial tensions on variation of the SWCNT’s frequency are examined. The outcomes indicate that increment of the nonlocal parameter leads to enhancement in variation of frequency. Also, the frequency variation of the SWCNT increases by elevating the axial tension.