Dynamic analysis of geometrically imperfect sandwich beams subjected to moving load and a porosity-dependent GPLRC core

This paper presents a numerical approach for the dynamical response of geometrically imperfect multilayered beams subjected to a moving load. The multilayer beam with a porosity-dependent nanocomposite core and titanium alloy layers is analyzed based on a high-order shear deformation theory including hyperbolic functions. The large deflection assumptions are also included into the formulations. The core of the multilayer beam consists of six porous aluminum layers where each of them are reinforced by graphene platelets (GPLs) with different values of porosity. The equations of motion are determined using the Lagrange's equation and are solved by the Ritz solution method for three different boundary conditions. The effects of porosity coefficient and graded pattern of aluminum constituents and their distributions on the forced vibrations are analyzed. Also, the effects of the length-to-thickness ratio and the weight fraction of GPLs are examined and compared. A good agreement is determined by comparing our formulation with other available works in the literature.