Gbeminiyi M. Sobamowo - Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria

In this paper, nonlinear dynamic behaviour of carbon nanotube conveying fluid with slip boundary conditions is studied using variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. From the result, it is observed that increase in the slipparameter leads to decrease in the frequency of vibration and the critical velocity while natural frequency and the critical fluid velocity increase as the stretching effect increases. Also, as the nonlocal parameter increased, the natural frequency and the critical velocity decreased. The analytical solutions help to have better insights and understand the relationship between the physical quantities of the problem

Non-linear Vibration; Slip boundary Condition;Fluid-conveying Nanotube; Variational iteration method