Axisymmetric Free Vibration Analysis of Functionally Graded Sandwich Annular Plates: A Quasi-3D Shear and Normal Deformable Model

This paper concentrates on axisymmetric free vibration of functionally graded (FG) sandwich annular plates obtained using a quasi-3D plate theory. Motion equations and corresponding boundary conditions are established via the mentioned plate theory which takes into consideration the non-uniform shear strains across the thickness and also stretching trough the thickness. Generalized differential quadrature method (GDQM) is applied to discrete the annular sandwich plate governing equations. The results of this study are applicable for optional thick plates since the adopted theory considers the shear and normal strains across the thickness direction. Outcoming results are verified on the basis of information accessible in the open literature. To investigate the influences of power law index of functionally graded materials (FGMs) and dimensions of the sandwich annular plate layers, parametric studies are presented. It was well demonstrated that the applied theory precisely predicts the natural frequencies of FG annular sandwich plates with arbitrary thickness.

Automated summary

This paper focuses on the axisymmetric free vibration of functionally graded sandwich annular plates using a quasi-3D plate theory. The motion equations and boundary conditions are established based on this plate theory, which considers the non-uniform shear strains and stretching through the thickness. The generalized differential quadrature method is applied to discretize the governing equations of the annular sandwich plate. The results are verified based on available information in the open literature, and parametric studies are performed to investigate the influences of power law index and dimensions. The applied theory accurately predicts the natural frequencies of FG annular sandwich plates with arbitrary thickness.