Buckling and Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Rectangular Plates

Abstract

This study investigated the buckling and free vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rectangular plates under uniaxial loads. The current study researches the buckling and vibration behavior of CNTRC plates using single-walled CNTs (SWCNTs). SWCNTs were accepted to be regular and aligned, with a consistent pattern. CNT topologies were studied, including four different FG distributions of CNTs over thickness. Hamilton's principle was used to get the equations of motion for composite plates. The equations obtained for the solution were obtained by using the Navier solution method to solve the equation of motion. The results were compared using the FEM (Ansys) approach. The findings were proved to be compatible with FEM (Ansys). Then, it was understood from the parametric work that volume fractions, thickness ratios and FG distributions have a significant effect on the buckling and vibration response of FG-CNTRC plates. The findings were presented with graphs and tables.