Paper Title
Nonlinear Dynamic Vibration of the Functionally Graded Graphene Reinforced Composite Rotating Plate

Abstract
In this paper, the nonlinear behaviors of the functionally graded (FG) graphene platelet reinforced composite (GPLRC) warping blade are studied. Four distribution patterns of the graphene platelets (GPL) along the thickness direction of the matrix are considered when establishing the model. Considering the warping effect of the pretwisted blade, dynamic equations of motion for the GPL strengthened blade subjected to the aerodynamic force and the centrifugal force are obtained by using the first-order shear deformation theory and Hamilton’s principle. Ordinary differential equations for the GPLRC blade are derived by adopting Galerkin method. Influences of GPL distribution patterns and operation conditions of the blade on dynamic responses of the GPLRC warping rotating structure are investigated. Results reveal that the GPL distribution patterns can affect the appearance of the bifurcation point. Keywords - Functionally Graded Materials, Graphene Platelets, Bifurcation, Chaotic Dynamics.