Modulation of bandgap in magnetically driven Kirigami phononic crystals

Abstract In this study, we propose a magnetically driven kirigami-type phononic crystal (PnC) fabricated from Hard-magnetic soft materials (HmSMs). The designed PnC can undergo in-plane directional morphological transition, transforming from a square to a four-point star shape under a magnetic field. Numerical simulations demonstrate that the applied magnetic field can induce varying degrees of deformation of the unit cell of the PnC, thereby enabling active control over the starting and cutoff frequencies of the PnC bandgap. The kirigami-type PnC structure designed in this work is highly convenient for bandgap control, with significant modulation achievable within an external magnetic field range of 0–50 mT. In addition, the dimensional parameters of the PnC unit cell, such as the hinge width and the interior angle, also play a crucial role in the bandgap control.