Computer modelling of coupled spaces: variations of eigenmodes frequency due to a change in coupling area
Acoustically coupled spaces have recently been drawing more and more attention in the architectural acoustics community, thus a determination of shapes and frequencies of eigenmodes in these room systems from computer-based models has become increasingly significant. In this inv...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2009-01-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/572 |
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| _version_ | 1849318504182841344 |
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| author | Mirosław MEISSNER |
| author_facet | Mirosław MEISSNER |
| author_sort | Mirosław MEISSNER |
| collection | DOAJ |
| description | Acoustically coupled spaces have recently been drawing
more and more attention in the architectural acoustics community, thus a
determination of shapes and frequencies of eigenmodes in these room systems from
computer-based models has become increasingly significant. In this
investigation, an eigenvalue problem was solved numerically for a simple room
system consisting of two connected rectangular spaces. In a numerical procedure,
the forced oscillator method with a finite difference algorithm was applied. In
order to determine the influence of irregularity of system shape on eigenmodes
frequency, a modal behaviour in the coupled spaces was studied for several sizes
of coupling area. Calculation results have shown that with the exception of a
fundamental mode, the changes in resonant frequencies were relatively small.
However, an increase in a system irregularity led to a coincidence of
frequencies of neighbouring modes and variations in a sequence of modes on a
frequency axis, which both contributed to a degeneration of eigenmodes. |
| format | Article |
| id | doaj-art-e2ce33c82c7d4485b6082be00c308d19 |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-e2ce33c82c7d4485b6082be00c308d192025-08-20T03:50:48ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2009-01-01342Computer modelling of coupled spaces: variations of eigenmodes frequency due to a change in coupling areaMirosław MEISSNER0Institute of Fundamental Technological Research, Polish Academy of Sciences Acoustically coupled spaces have recently been drawing more and more attention in the architectural acoustics community, thus a determination of shapes and frequencies of eigenmodes in these room systems from computer-based models has become increasingly significant. In this investigation, an eigenvalue problem was solved numerically for a simple room system consisting of two connected rectangular spaces. In a numerical procedure, the forced oscillator method with a finite difference algorithm was applied. In order to determine the influence of irregularity of system shape on eigenmodes frequency, a modal behaviour in the coupled spaces was studied for several sizes of coupling area. Calculation results have shown that with the exception of a fundamental mode, the changes in resonant frequencies were relatively small. However, an increase in a system irregularity led to a coincidence of frequencies of neighbouring modes and variations in a sequence of modes on a frequency axis, which both contributed to a degeneration of eigenmodes. https://acoustics.ippt.pan.pl/index.php/aa/article/view/572coupled spacesmodal analysisdegenerate modesmode localization |
| spellingShingle | Mirosław MEISSNER Computer modelling of coupled spaces: variations of eigenmodes frequency due to a change in coupling area Archives of Acoustics coupled spaces modal analysis degenerate modes mode localization |
| title | Computer modelling of coupled spaces: variations of eigenmodes frequency due
to a change in coupling area |
| title_full | Computer modelling of coupled spaces: variations of eigenmodes frequency due
to a change in coupling area |
| title_fullStr | Computer modelling of coupled spaces: variations of eigenmodes frequency due
to a change in coupling area |
| title_full_unstemmed | Computer modelling of coupled spaces: variations of eigenmodes frequency due
to a change in coupling area |
| title_short | Computer modelling of coupled spaces: variations of eigenmodes frequency due
to a change in coupling area |
| title_sort | computer modelling of coupled spaces variations of eigenmodes frequency due to a change in coupling area |
| topic | coupled spaces modal analysis degenerate modes mode localization |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/572 |
| work_keys_str_mv | AT mirosławmeissner computermodellingofcoupledspacesvariationsofeigenmodesfrequencyduetoachangeincouplingarea |