Free Vibration Analysis of Functionally Graded Triply Periodic Minimal Surface Plates

The current study presents a numerical investigation into the fundamental natural frequency of functionally graded plates using triply periodic minimal surface (FG-TPMS) under a wide range of conditions. To this end, an efficient numerical approach, derived from a combination of refined quasi-3D plate theory including four unknowns and a NURBS-based isogeometric approach, is utilized. This formulation can effectively account for the effect of thickness stretching. In this paper, the FG plate structure models are constructed using three TPMS types: Primitive, Gyroid, and I-graph and Wrapped Package-graph. The free vibrational performance of TPMS architectures is comprehensively examined through various numerical investigations. The findings from the current research significantly contribute to our comprehension of the free vibrational characteristics of FG-TPMS plate structures taking into consideration the influence of the thickness stretching.