Dynamic response of laminated functionally graded carbon nanotube-reinforced composite viscoelastic plates

Abstract

The dynamic response of viscoelastic plates reinforced with functionally graded carbon nanotube-reinforced composite material (FG-CNTRC) under dynamic loads was examined in this work. This research investigates the dynamic analysis of CNTRC plates by single-walled CNTs (SWCNTs). SWCNTs were considered to be straight and aligned, with a homogeneous pattern. Carbon nanotube (CNT) configurations were investigated, inclusive of uniform, and three varieties of FG distributions of CNTs across the thickness. The equation of motion of composite plates was obtained using Hamilton’s principle. The time-dependent equations were derived by applying the Navier solution method to the equation of motion. These equations were converted into the Laplace domain. The Modified Durbin procedure was used to convert the resultant computations from the Laplace field to the time field. The resulting findings were compared to other methods. It was demonstrated that the findings are consistent with those of other methods. Then, sensitivity analysis revealed that CNT volume fractions, damping ratios, and FG distributions had a substantial influence on the quasi-static and dynamic behavior of viscoelastic FG-CNTRC plates. Results show that with the help of the Laplace technique no need to use free vibration frequencies or modes, it is possible to solve the problem quite precisely, effectively, and easily.