Analysis Of Vibration Characteristics Of Graphene Reinforced Composite Functionally Graded Plate

In this paper,the research background of graphene composite materials and current research status at home and abroad are introduced in detail,and the current research directions,research methods and research results of graphene composite plate and shell structure are described.The main research contents are detailed parameter research on the vibration characteristics of graphene-reinforced composite functional gradient plates(GRC-FG)under in-plane loading conditions.As a laminate,the plate is composed of graphene reinforcement layers with different volume fractions along the thickness direction,and the effective material properties of the obtained nanocomposites are estimated by the extended Halpin-Tsai micromechanical model.Considering that the rotational inertia and transverse shear deformation of laminated plates and thick plates have a great influence on the composite material,Reddy's third-order shear deformation theory(HSDT)was adopted.According to the Hamilton principle,the motion control equation of the plate can be obtained.The boundary conditions of the plate are simple support(S),fixed support(C)and free boundary(F),but there are always two opposite edges for simple support.The state space eigenvalue method is used to consider two simply supported plates with opposite edges and to solve the coupled set of equations of motion.Through detailed parameter studies,the influence of graphene volume fraction segment distribution mode,plate thickness-width ratio,plate length-width ratio,and boundary conditions on the vibration behavior of the plate was studied.Compared with the research parameters in the previous public literature,the validity of this research method is further verified.