Mass-spring model for acoustic metamaterials consisting of a compact linear periodic array of dead-end resonators
Maël Lopez,
Thomas Dupont,
Raymond Panneton
Abstract:This paper presents a mass-spring model to predict the normal incidence acoustic response of a metamaterial composed of a compact linear periodic array of dead-end resonators. The dead-end resonators considered are ring-shaped Helmholtz resonators. The model is based on a mass-spring analogy and considers the thermoviscous losses in the metamaterial following an effective fluid approach. A matrix equation of acoustic motion is derived for the finite case of N-periodic arrays. Under external excitation, its dir… Show more
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