Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load

This work mainly reports on the effects of the aspect ratio and waviness index of carbon nanotubes (CNTs) on the free vibration and stress wave propagation of functionally graded (FG) nanocomposite cylinders that are reinforced by wavy single-walled carbon nanotubes based on a mesh-free method. In this simulation, an axisymmetric model is used, three linear types of FG distributions of wavy CNTs along the radial direction of the cylinder are considered and their results are compared with the results of a uniform distribution. The material properties are estimated by a micromechanical model. In the mesh-free analysis, moving least squares shape functions are used for approximation of the displacement field in the weak form of motion equation and the transformation method was used for the imposition of essential boundary conditions. Also, the effects of volume fraction and distribution pattern of wavy CNTs and cylinder thickness are investigated on the natural frequency and stress wave propagation of carbon nanotube reinforced composite (CNTRC) cylinders subjected to an impact load. It is observed that waviness has a significant effect on the dynamic behavior of the CNTRC cylinders.