Investigation on the tunability of the band structure of two-dimensional magnetorheological elastomers phononic crystals plate

We studied the propagation of elastic waves in a two-dimensional (2D) magnetorheological elastomers phononic crystals (MREs-PnCs) plate with a double-sided stubbed that can be tunable by an external magnetic field. The dispersion relations and the transmission properties of the perfect MREs-PnCs and defect MREs-PnCs are numerically calculated by the using finite element method under different magnetic fields. Good agreement was also observed in the experiment results. The results shown that with the increase of the applied magnetic field, the complete band gap of the MREs-PnCs plate gradually widens and moves to the high-order frequency region. In addition, with the introduction of defect modes, defect bands appear in the dispersion relation, and the elastic waves with specific frequencies are located at the point or line defects. This work makes up for the insufficiency of experimental research in related fields and provides a good design basis for MRE-PnCs structures in the future.