Nonlinear dynamic response of FG-GPLRC beams induced by two successive moving loads

In this study, the nonlinear dynamic analysis of functionally graded graphene nanoplatelet reinforced composite (FG-GPLRC) beams is examined. The material properties can be estimated by using the modified Halpin-Tsai model and rule of mixture. Based on the third-order shear deformation theory and the von K ' arm ' an assumption, the equations of motion is derived and solved by using Jacobi-Ritz method incorporating with iteration procedure. Several effects such as number of layers, weight fraction of graphene nanoplatelets, material distri-butions, beam geometry, velocity of moving loads, distance between the loads are considered. For nonlinear forced vibration, the results indicate a considerable dissimilarity in the nonlinear dynamic deflection of the beams under moving loads when compared to linear analysis. The incorporation of additional GPLs into the beams yields a significant improvement in the strength of the beam, resulting in lower deflection. The new findings on nonlinear response of the beams excited by one and two moving loads are presented.