DSC regularized Dirac-delta method for dynamic analysis of FG graphene platelet-reinforced porous beams on elastic foundation under a moving load

This work presents a novel computational approach, the DSC regularized Dirac-delta method, for vibration analysis of functionally graded graphene-platelet reinforced (FG-GPLR) porous beams resting on Winkler–Pasternak elastic foundation under moving load. Based Timoshenko beam theory, energy functional model is represented by newly constructed basis function and minimized variational principle. To account properties composite materials, Halpin–Tsai used to predict modulus graphene-reinforced composites. A coupling method Newmark–β integration scheme then adopted solving dynamic problem. The DSC-based approach exhibits controllable accuracy approximations shows excellent flexibility in handling time-dependent load problems, because equally spaced grid system numerical can achieve preferable representation sources. An intensive parametric study provided with particular focus influence loads, supports material (e.g., weight fraction, porosity distribution, dispersion pattern geometry size graphene reinforcements). First-known solutions reported tabular graphical forms should be useful researchers engineers designing such problems.