Vibration And Buckling Analysis Of Functionally Graded Composite Laminates Based On Meshless Kp-Ritz Method

Functionally graded composite is a material which structure composition varies stepwise in the direction of thickness.That result the different performances of different parts of the material and make it more adaptable to the working environment of the material.Functionally graded composite has wide range of applications and good prospects due to its controllable structure,properties and high mechanical strength,thermal shock resistance,high temperature resistance.In this paper,the meshless kp-Ritz method is used to analyze the mechanical behavior of functionally graded composites.Based on the reproducing kernel particle method,the shape function is constructed.In order to make the shape function satisfying Kronecker delta property,we employ the transformation approach to apply the boundary conditions.The research of this paper is mainly divided into two parts:1.Vibration analysis of hybrid laminated plate containing carbon nanotube-reinforced functionally graded(CNTR-FG)layers and conventional fiber reinforced composite(FRC)layers.2.Buckling analysis of functionally graded graphene-reinforced composite(FG-GRC)laminated plate.(1).The vibration characteristics of hybrid laminated plate containing CNTR-FG layers and FRC layers under transient dynamic loading were investigated.MATLAB software programing is used to calculate the deflection of hybrid laminated plate under the load.The effect of volume fraction of carbon nanotube volume fraction,plate width-to-thickness ratio,plate aspect ratio,boundary condition and distribution type of carbon nanotubes on the vibration behavior of hybrid laminated plates containing CNTR-FG layers and FRC layers were investigated.(2)Considering the influence of the boundary temperature,the buckling behaviors of functionally graded graphene-reinforced composite(FG-GRC)laminated plates under various axial compression were studies.MATLAB software programing is used to calculate the buckling load parameters under various axial compression.The effect of boundary temperature,distribution of graphene,plate width-to-thickness ratio,plate aspect ratio,number of layers and boundary conditions on buckling behavior of laminated plate were investigated.