Dynamic Behavior of FG-TPMS Plates on a Viscoelastic Foundation Subjected to Moving Loads Using Moving Element Method

Functionally Graded Triply Periodic Minimal Surface (FG-TPMS) structures are an advanced variation of TPMS with spatially varying mechanical properties. Known for their high strength-to-volume ratio, these structures offer lightweight yet robust structural solutions. This study investigates the dynamic characteristics of FG-TPMS structures under the influence of moving loads and supported by a viscoelastic foundation. To manage the challenges related to moving loads and the sensitivity of FG-TPMS plates to boundary conditions, the Moving Element Method (MEM) is employed. The influence of several parameters on the dynamic performance of FG-TPMS plates is studied, including porosity distribution, relative density, plate thickness, and load velocity. The findings highlight the superior strength-to-volume ratio of FG-TPMS plates compared to their isotropic counterparts, emphasizing their potential for practical applications in engineering and materials science. Detailed numerical analyses demonstrate how different porosity distributions and other factors influence the mechanical behavior of FG-TPMS plates, offering insights into optimizing their design for enhanced performance. This comprehensive investigation underscores the advantages of FG-TPMS structures, particularly in applications requiring high strength and lightweight materials, showcasing the efficacy of MEM in solving complex dynamic problems involving moving loads.