Evolution of disturbances that propagate in viscoelastic metamaterial

Abstract

Abstract We study the features of the propagation of a longitudinal wave in an acoustic (mechanical) metamaterial modeled as a one-dimensional chain containing the same masses connected by elastic elements (springs) having the same stiffness, each mass containing a series connection of another mass and a viscous element (damper). It is shown that the model under consideration allows us to describe the dispersion and frequency-dependent attenuation of a longitudinal wave, the nature of which substantially depends on the ratio of the external and internal masses of the metamaterial.