LYSIS OF FUNCTIONALLY GRADED SANDWICH PLATES USING A C¹-CONTINUOUS FINITE ELEMENT METHOD

Tóm tắt

This paper proposes a finite element method utilizing a four-node quadrilateral plate element with seven degrees of freedom per node for the free vibration analysis of sandwich
plates featuring a metallic core. The top and bottom face sheets are composed of ceramic- metal functionally graded materials (FGMs) whose properties vary continuously through the thickness. To accurately represent the stress - strain behavior - particularly for thick plates - Shi’s third-order shear deformation theory with C1-continuous derivatives is employed. The accuracy and convergence of the proposed formulation are verified through comparisons with benchmark results available in the literature. The novelty of this research lies in the first-time development and application of a finite element model combining Lagrange and Hermite interpolation functions to analyze the free vibration characteristics of sandwich plates.