Sound absorption by perforated walls along boundaries

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Date

2020-06-03

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Abstract

We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity ε > 0. A resonator volume of thickness ε is connected with thin channels (opening ε^3) with the main part of the macroscopic domain. For this problem with three different scales we analyze solutions in the limit ε → 0 and find that the effective system can describe sound absorption.

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Helmholtz equation, sound absorbers, homogenization, complex domain

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