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