nonlinear vibration analysis of single-walled carbon nanotube conveying fluid with slip boundary conditions using variational iterative method

in this paper, nonlinear dynamic behaviours of carbon nanotube conveying fluidwith 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 slip parameter leads to decrease in the frequency of vibration and the critical velocity while natural frequency and the critical fluid velocity increase as the in stretching effect increases. as the flow velocity increases, the fundamental frequency is decreased and as flow velocity reaches the critical velocity, both the real and imaginary parts of the flexural frequency are equal to zero. also, increasing the nonlocal parameter, the natural frequency and the critical velocity decreased. the analytical solutions can be used as starting points for better understanding of the relationship between the physical quantities of the problem.