The Role of FGM Core Content in Optimizing Stability of Functionally Graded Sandwich Beams

Abstract

This study explores how varying the composition of the functionally graded material (FGM) core impacts the stability of functionally graded sandwich (FGSW) beams. The authors leverage Hamilton's principle and finite element analysis to formulate the problem, while Floquet's theory establishes the stability boundaries. The FGM core's properties can be described by either a power-law with variable exponents or an exponential law. The findings reveal that increasing the FGM content in FGSW-2.5 beams nudges their instability regions towards the dynamic load factor axis, rendering them more prone to dynamic instability. Conversely, the effect is reversed for e-FGSW beams. These results emphasize the importance of considering FGM core content during the design of FGSW beams for optimal stability. By understanding this influence, engineers can create structures with enhanced stability and reliability.