Using Green Function Method to Dynamic Analysis of Nanotubes Conveying Fluid Under Moving Load

In this paper, the dynamic response of carbon nanotubes (CNT) conveying fluid under moving harmonic load by using the Green function method is investigated. The results of this analysis are obtained for four different boundary conditions, namely fixed- fixed, fixed- pinned, pinned- fixed and pinned -pinned. The harmonic load is assumed to travel with uniform velocity, accelerating and decelerating types of motion and the internal fluid flow is moved with uniform velocity. The Green function and Laplace transform method is implemented to analysis of force vibrations for achieving exact solutions of dynamic response. In the present work, the effects of various parameters such as viscoelastic coefficient, moving load and fluid flow velocity, length scale parameter, boundary conditions, viscous damping and types of the load motion on the dynamic displacement of the CNT are elucidated. However, the results show that these parameters are vital in investigation of the dynamic displacement of CNT. It is obvious that the dynamic deflection is very sensitive to the material length scale parameter in which structural stiffness of CNT and the dimensionless dynamic displacements, respectively, is decreased and increased with increases in the length scale para eter.