Vibration Behaviour of Shear Deformable Laminated Plates Composed of Non-Homogeneous Layers

The free vibration behavior of laminated plates consisting of non-homogenous orthotropic layers is presented. First, the mechanical properties of laminated plates composed of non-homogenous (NH) orthotropic layers are modelled. After establishing the basic relations of laminated plates within shear deformation theory (SDT), governing equations are derived in the framework of Donnell type plate theory. The solution of the governing equations is carried out by the Galerkin method and the analytical expression is found for the linear frequency of plates composed of non-homogenous orthotropic layers. Finally, the influences of various factors such as shear stresses, non-homogeneity, number and arrangement of layers on the frequency of rectangular plates are examined.