Effect of Functionally Graded Material of Three-Layered Annular Plates on the Dynamic Stability

The presented problem considers the dynamic stability of a three-layered annular plate, whose facings are made of functionally graded material in the radial direction. The plate is subjected to linearly increasing forces over time, applied along the plane of the facings at either the inner or outer edge. The effect of the heterogeneity of the plate-facing material on the dynamic response is analyzed in detail. The main parameters of the stability state, such as critical dynamic loads, critical time, maximum deflection, and buckling mode are specifically evaluated. The problem is analyzed using two approximation methods: the finite difference method and the finite element method. Numerical calculations were carried out on two tracks: using the author’s program after analytical calculations and with the ABAQUS system. The final results show the importance of modeling the plate with an appropriate material function that describes the radial gradation of the material, affecting the plate’s dynamic stability response and critical parameters.