Integrated analysis of bandgap optimization regulation and wave propagation mechanism of hexagonal multi-ligament derived structures.

In this paper, a new class of multi-ligament derived structures is proposed. Based on the finite element method and Bloch's theorem, the bandgap characteristics and transmission properties of different derived structures are comprehensively analyzed, and the bandgap opening and closing mechanism and the vibration and noise reduction capability of the structure are explained by stress cloud diagrams and vibration modes. Then, a better bandgap is obtained by structural optimization and active frequency modulation. Finally, the propagation characteristics of elastic waves in different derived structures are investigated separately. The results show that the multi-ligament derived structure has excellent bandgap performance and can obtain better vibration and noise reduction capability through bandgap adjustment and active strain modulation, which greatly improves its engineering practicality. The comprehensive analysis of wave propagation in this paper provides a theoretical basis and technical means for the improvement and design of metamaterials. [Display omitted] • Bloch's theorem for explaining the band gap of graded maze structure. • Applying active strain to probe the band gap tunability of a structure. • Evaluation of vibration attenuation by transfer function and stress cloud map. • Analysis by group and phase velocity, iso-frequency and wave propagation maps. • Probing the band gap opening mechanism by single cell vibration modal analysis. [ABSTRACT FROM AUTHOR]