Vibration Response Analysis of Multilayer Functionally Graded Graphene Platelet-Reinforced Composite Cylindrical Shell Under Moving Random Loads

This paper proposed a theoretical model for analyzing the vibration responses of multilayer functionally graded graphene platelet-reinforced composite (FG-GPLRC) cylindrical shell under moving random loads. Four GPLs distributed patterns and two ways of moving random load are taken into account. The proposed model is established by employing differential quadrature finite element method (DQFEM) combined with pseudo excitation method (PEM) and is solved by utilizing Newmark-[Formula: see text] method in the framework of first-order shear deformation shell theory (FSDST). The general boundary conditions of FG-GPLRC cylindrical shell structure are simulated by adopting the penalty function method. The effective material properties of multilayer FG-GPLRC cylindrical shell are derived based on the modified Halpin–Tsai model and mixture rule. Then, the convergence, accuracy, universality and robustness of the established model are verified by comparing the presented results with the corresponding results coming from finite element simulation software (ABAQUS and COMSOL) and the open literature. Finally, the influences of material parameters including the distribution pattern and weight fraction of GPLRC, structure parameters and the velocity and way of moving random load on the vibration response of multilayer FG-GPLRC cylindrical shell structure subjected to moving random loads are investigated systematically. This research can provide the theoretical basis for evaluating the vibration response of multilayer FG-GPLRC cylindrical shell structure subjected to moving random loads.