Novel locally resonant architected materials withtunable stop-babds

Due to the application of architected materials in different aspects of acoustic and structuralengineering, a great deal of effort has been devoted to study wave propagation in such structures.In the current manuscript, the effect of adding auxiliary resonators on the wave attenuationperformance of square and triangular architected structures is investigated. The structuresare modelled using finite element method and the wave propagation analysis is performedusing the Bloch’s theorem. Moreover the effect of resonator orientation on the frequencyrange and width of the stop-bands is also investigated. It is found that using auxiliaryresonators can lead to stop-bands of local resonance (LR) nature in the frequency ranges, inwhich, the conventional structures are unable to attenuate wave propagation. Moreover,changing the orientation of the resonators, the dispersion curves can be altered and the stopbandscan be tuned. The results of the current manuscript can introduce resonator orientationas another degree of freedom in designing architected materials with tunable wave attenuation performance

Keywords:

architected materials , wave propagation , finite element method , Blochs theorem