Moving-Load Dynamic Analysis of Graphene-Reinforced Metal Foam Arches Covered With Titanium Alloy Layers

This paper examines the free and forced vibration characteristics of metal foam nanocomposite shallow arches with two Titanium alloy layers under a moving load. The middle core is made of a six-layer porous aluminum reinforced with graphene platelets in which different dispersion distributions are taken into account. The basic governing equations in the sandwich arch under moving load are established based on the first-order shear deformation model, Halpin–Tsai modified rule and Hamilton’s principle. The equations of motion are extracted for the sandwich arch with simply-supported boundaries by applying the Fourier expansions. An eigenvalue solution is applied in the free vibration problem and the Newmark time marching scheme is used for the forced vibration problem. The computed results from this investigation are compared with those reported data in the literature. Then, novel numerical examples are presented in detail to show the influences of important effective parameters on the free and forced vibrations of shallow sandwich arches.