Free Vibration analysis of a rotating cylindrical shell made of FG-GPLR porous core and MEE face with uncertain parameters in thermal environment

In this study, free vibration analysis of a rotating composite double-layer cylindrical shell has been carried out using first-order shear deformation theory. The shell is made of a thin magneto-electro-elastic (MEE) top layer bonded to the functionally graded graphene platelet reinforced (FG-GPLR) porous layer in a thermal environment. The ends of the shell are considered pinned boundary conditions due to the presence of bearings. First, natural frequencies of the forward and backward modes for the rotating composite shell were obtained and verified by the literature results. Then the effects of rotational speed, mode numbers, temperature change, porosity, and GPLs mass fraction on the frequencies were investigated. Also, the effect of uncertainties in the MEE layer properties on the free vibration of a rotating composite shell exposed to electric and magnetic potentials is investigated. The uncertainties in the elastic modulus, piezoelectric and piezomagnetic coefficient of the smart layer, are introduced using a symmetric Gaussian fuzzy number. The governing equations for the uncertain system are obtained by combining Hamilton's principle and the dual parametric form of fuzzy numbers; Then the natural frequencies of the uncertain model are calculated using Navier's approach. The results have been showing that the porosity increased the frequencies. In the case of uncertain properties, with increasing the electric potential, the frequency bounds decreased slightly, but they increased intensely with increasing the magnetic potential.