Authors: | Donato, Patrizia Lamacz, Agnes Schweizer, Ben |
Title: | Sound absorption by perforated walls along boundaries |
Language (ISO): | en |
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. |
Subject Headings: | Helmholtz equation sound absorbers homogenization complex domain |
URI: | http://hdl.handle.net/2003/39206 http://dx.doi.org/10.17877/DE290R-21123 |
Issue Date: | 2020-06-03 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2020-02 Donato, Lamacz, Schweizer.pdf | DNB | 452.67 kB | Adobe PDF | View/Open |
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