Dynamics of Axially Functionally Graded Porous Nanotubes Containing Fluid Under a Moving Load

Abstract

This paper modeled forced and free vibrations of an axially functionally graded (AFG) porous Rayleigh nanotube containing fluid surrounded by a viscoelastic foundation and acted by a traveling load. The material characteristics of the nanotube are graded longitudinally according to a power-law rule. Also, different porosity models in the longitudinal direction of the system are taken into account. The nonlocal strain gradient theory (NSGT) is applied to reflect the size-dependency of the model. The governing dynamic equation of the system incorporating the scale effects is derived by considering the effects of slip boundary conditions for the internal fluid. The vibration response of the system is obtained analytically. Several comparison studies verify this study’s results. Various dynamic phenomena, such as cancellation and maximum free response, are discussed in different operating conditions of the system. Besides, a detailed parametric investigation is conducted to identify the effects of influential parameters, including material gradient, porosity coefficient, fluid velocity, scale parameter ratio, and substrate characteristics, on the dynamic behavior of the system. These research results could be valuable in designing and optimizing advanced nanosensors and targeted drug delivery systems.