Vibration of inhomogeneous fibrous laminated plates using an efficient and simple polynomial refined theory

In this article, a reliable model for the vibration of cross-ply and angle-ply laminated plates that own inhomogeneous elastic properties is considered. The methodology includes a theoretical study of free vibration behavior of composite plates with the inhomogeneous fibrous distribution of the volume fraction using a sinusoidal model by the use of the advanced refined theory of shear deformation of nth-higher-order. The micromechanical typical is proposed to represent the elastic and physical properties of the inhomogeneous laminated composite plate. The effects of inhomogeneity, lamination schemes, aspect ratio, and the number and order of layers on dimensionless vibration frequencies are investigated.