Analysis of dynamic behaviour of wavy-plates with a mezo-periodic structure

The aim of the contribution is determination of such a form of the mezo-shape function for a mezostructural model, which is suitable to quantitative analysis of dynamic behaviour of a wavy-plate. Governing equations of the averaged theory of wavy-plates, as opposed to those obtained by Michalak et al. (1996), are obtained for different forms of the mezo-shape functions for in-plane and out-of-plane displacements of the plate. The mezo-shape functions of wavy-plates are determined from the solution to the eigenvalue problem of a periodic cell ${\Delta}$ by making use of the finite element method. The comparison of free vibration frequencies obtained from the mezostructural model, the homogenized theory, orthotropic plate model and the finite element method is presented.