A multi-port scattering matrix formalism for the acoustic prediction in duct networks
Duct acoustic network modeling is commonly carried out using the transfer matrix formalism which is limited to the low frequency range. The aim of this work is to extend it to higher frequencies by taking into account the multi-mode acoustic propagation. The first step is to compute, via Finite Elem...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
|
| Series: | Acta Acustica |
| Subjects: | |
| Online Access: | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2023/01/aacus220065/aacus220065.html |
| _version_ | 1797699411749371904 |
|---|---|
| author | Calmettes Cyril Perrey-Debain Emmanuel Lefrançois Emmanuel Caillet Julien |
| author_facet | Calmettes Cyril Perrey-Debain Emmanuel Lefrançois Emmanuel Caillet Julien |
| author_sort | Calmettes Cyril |
| collection | DOAJ |
| description | Duct acoustic network modeling is commonly carried out using the transfer matrix formalism which is limited to the low frequency range. The aim of this work is to extend it to higher frequencies by taking into account the multi-mode acoustic propagation. The first step is to compute, via Finite Element Method (FEM), the multi-port multi-modal scattering matrix of each element. The second step is to transform it into a scattering matrix for the acoustic power, relying on assumptions which are often used for the study of medium-to-high frequency broadband noise. The method is applied to typical elements such as expansion chamber mufflers and air conditioning veins. In all cases, the power-flow model is compared to the FEM solution in terms of Transmission Losses. It is concluded that this simplified model is a reliable tool for the analysis of complex networks encountered in Heat and Ventilation Air Conditioning (HVAC) duct networks. |
| first_indexed | 2024-03-12T04:08:48Z |
| format | Article |
| id | doaj.art-47a001b9d8ae4f2591a9290125d8aa2e |
| institution | Directory Open Access Journal |
| issn | 2681-4617 |
| language | English |
| last_indexed | 2024-03-12T04:08:48Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Acta Acustica |
| spelling | doaj.art-47a001b9d8ae4f2591a9290125d8aa2e2023-09-03T11:10:08ZengEDP SciencesActa Acustica2681-46172023-01-0171310.1051/aacus/2023013aacus220065A multi-port scattering matrix formalism for the acoustic prediction in duct networksCalmettes Cyril0https://orcid.org/0000-0003-1606-8360Perrey-Debain Emmanuel1https://orcid.org/0000-0003-0445-8492Lefrançois Emmanuel2Caillet Julien3Université de technologie de Compiègne, Roberval (Mechanics, energy and electricity), Centre de recherche RoyallieuUniversité de technologie de Compiègne, Roberval (Mechanics, energy and electricity), Centre de recherche RoyallieuUniversité de technologie de Compiègne, Roberval (Mechanics, energy and electricity), Centre de recherche RoyallieuAirbus HelicoptersDuct acoustic network modeling is commonly carried out using the transfer matrix formalism which is limited to the low frequency range. The aim of this work is to extend it to higher frequencies by taking into account the multi-mode acoustic propagation. The first step is to compute, via Finite Element Method (FEM), the multi-port multi-modal scattering matrix of each element. The second step is to transform it into a scattering matrix for the acoustic power, relying on assumptions which are often used for the study of medium-to-high frequency broadband noise. The method is applied to typical elements such as expansion chamber mufflers and air conditioning veins. In all cases, the power-flow model is compared to the FEM solution in terms of Transmission Losses. It is concluded that this simplified model is a reliable tool for the analysis of complex networks encountered in Heat and Ventilation Air Conditioning (HVAC) duct networks.https://acta-acustica.edpsciences.org/articles/aacus/full_html/2023/01/aacus220065/aacus220065.htmlscattering matrixacoustic duct network |
| spellingShingle | Calmettes Cyril Perrey-Debain Emmanuel Lefrançois Emmanuel Caillet Julien A multi-port scattering matrix formalism for the acoustic prediction in duct networks Acta Acustica scattering matrix acoustic duct network |
| title | A multi-port scattering matrix formalism for the acoustic prediction in duct networks |
| title_full | A multi-port scattering matrix formalism for the acoustic prediction in duct networks |
| title_fullStr | A multi-port scattering matrix formalism for the acoustic prediction in duct networks |
| title_full_unstemmed | A multi-port scattering matrix formalism for the acoustic prediction in duct networks |
| title_short | A multi-port scattering matrix formalism for the acoustic prediction in duct networks |
| title_sort | multi port scattering matrix formalism for the acoustic prediction in duct networks |
| topic | scattering matrix acoustic duct network |
| url | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2023/01/aacus220065/aacus220065.html |
| work_keys_str_mv | AT calmettescyril amultiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT perreydebainemmanuel amultiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT lefrancoisemmanuel amultiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT cailletjulien amultiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT calmettescyril multiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT perreydebainemmanuel multiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT lefrancoisemmanuel multiportscatteringmatrixformalismfortheacousticpredictioninductnetworks AT cailletjulien multiportscatteringmatrixformalismfortheacousticpredictioninductnetworks |