WAVE PROPAGATION AND COMPLETE BAND GAP FORMATION IN MIURA-ORI METABEAMS

Periodic structures with complete band gap formation can provide excellent vibroa- coustic isolation and protection. In this context, origami-inspired periodic designs have demon- strated outstanding properties, making them highly effective for a variety of static and dynamic applications. In particular, Miura origami has attracted interest in metamaterials research due to its simple, foldable, and reconfigurable nature. This work aims to investigate wave propa- gation and band gap formation in origami-inspired structures, focusing on the first band gap formation in Miura-ori beams. The study presents a Wave and Finite Element approach for systematically predicting dispersion curves and band gaps under parametric variations of the Miura-ori unit cell geometry. The dispersion curves are presented and discussed, illustrating the effects of the folding angle on the prediction of the first complete band gaps, where wave propagation is prohibited in all directions. The effectiveness of the Miura-ori metabeam in attenuating vibration transmission is evaluated quantitatively, and the structure’s deformation under the passage of harmonic disturbances is depicted graphically and using energy parame- ters.