Single-phase elastic metamaterials for wave filtering

This paper discusses an elastic metamaterial for filtering energy from certain frequencies of an incoming wave. The unit cell, which is composed by a single material, is built to obtain a local resonance band gap. Since Bloch-Floquet's periodic condition is enforced to the unit cell, the dynamic characteristics of the metamaterial is obtained by only evaluating such structure. The attenuation mechanism is guaranteed by visualizing bandwidths in which the wave propagation is prohibited. Such bandwidths, denoted as band gaps, are observed in the band structure diagram of the unit cell and in the transmissibility loss over the metamaterial. The assemble of unit cells with different internal geometries results in a filtering mechanism. The proposed single-phase metamaterial could be applied in structures requiring vibration control for selective frequencies.