Dynamic Response of FG-CNT Composite Plate Resting on an Elastic Foundation Based on Higher-Order Shear Deformation Theory

Abstract

In this paper, the dynamic response of a functionally graded carbon nanotube–reinforced (FG-CNTRC) composite plate is obtained based on higher-order quasi-three-dimensional (3D) shear deformation theory (i.e., assuming a linear variation of transverse displacement through the thickness). The governing equations of motion are developed using the energy principle and solved using finite-element methods. Newmark’s time integration techniques are employed to obtain the forced response of FG-CNTRC plates. The accuracy of the present formulation is validated by tackling a few numerical cases and comparing finite-element solutions with accessible outcomes. Also, several new results are obtained for covering various features like thickness ratio, aspect ratio, and fiber volume fraction, among others, which can be considered as the benchmark study for future researchers. The outcomes demonstrate that the impact of Winkler foundation stiffness is not as great as the shear foundation stiffness on the natural frequency of the FG-CNTRC plates. The results also show that the free-vibration regime of the plate is highly influenced by duration of dynamic load on the plate. The present formulation gives excellent concurrence with the accessible literature.