Finite element frequency analysis of GPL/carbon fi-ber/epoxy porous nanocomposite beams

In this paper, a finite element (FE) based solution will be presented for the vibration problem of porous beams constructed from a multi-scale hybrid nanocomposite consisted of graphene platelet, carbon fiber, and epoxy matrix. The equivalent stiffness of the hybrid nanocompo-site was obtained using a micromechanical homogenization procedure based on the well-known Halpin-Tsai method in association with the saturated porous model. Furthermore, the governing equations of the problem will be obtained mixing the concept of infinitesimal strains in a continuous system with the kinematic relations of refined shear deformable beams. The achieved equations will be solved via Rayleigh-Ritz numerical method to enrich the natural frequency of the nanocomposite structure. Comparison of the results achieved from the presented numerical method with those received from the Navier-type analytical so-lution guarantees the efficiency of the presented formulation. One can realize that the fre-quency of the beam can be deeply influenced by tuning the porosity coefficient as well as the weight fraction of the graphene platelets.

کلیدواژه ها:

Vibration ، multi-scale hybrid nanocomposite ، refined higher-order beam theory ، Rayleigh-Ritz method.