A toy model for the effective density of acoustic metamaterials

Juliette Pierre; Valentin Leroy; Benjamin Dollet

doi:10.1098/rspa.2021.0861

A toy model for the effective density of acoustic metamaterials

Juliette Pierre, Valentin Leroy, Benjamin Dollet

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a simple mechanical system that can be used as a toy model for calculating the effective density of acoustic metamaterials. Through analytical calculations, it gives a better understanding of how the effective density can become negative, when the system responds elastically instead of inertially. We show that this toy model can reproduce, qualitatively, the acoustical behaviour of some real acoustic metamaterials.

Original language	English
Article number	20210861
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	478
Issue number	2261
DOIs	https://doi.org/10.1098/rspa.2021.0861
Publication status	Published - 1 Jan 2022
Externally published	Yes

Keywords

acoustic, model, metamaterial, effective density

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10.1098/rspa.2021.0861

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abstract = "We propose a simple mechanical system that can be used as a toy model for calculating the effective density of acoustic metamaterials. Through analytical calculations, it gives a better understanding of how the effective density can become negative, when the system responds elastically instead of inertially. We show that this toy model can reproduce, qualitatively, the acoustical behaviour of some real acoustic metamaterials.",

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AB - We propose a simple mechanical system that can be used as a toy model for calculating the effective density of acoustic metamaterials. Through analytical calculations, it gives a better understanding of how the effective density can become negative, when the system responds elastically instead of inertially. We show that this toy model can reproduce, qualitatively, the acoustical behaviour of some real acoustic metamaterials.

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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A toy model for the effective density of acoustic metamaterials

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Keywords

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