Wave Propagation in Lattice Metamaterials with Viscoelastic Inertial Resonators

Abstract eng:
The present paper is focused on the acoustic behavior of periodic beam-lattices metamaterials containing local viscoelastic resonators and deals with two different aims. A first issue concerns the assessment of the influence of the dynamic and viscoelastic properties of the resonators on the acoustic behaviour of the metamaterials. A further issue concerns the formulation of a high-frequency homogenization technique in micropolar generalized continua equivalent to the discrete model. The validity limits of the micropolar model with respect to the complex spectrum are assessed by comparing the dispersion curves of the model in the irreducible Brillouin domain with those obtained by the discrete model.

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