Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies
An efficiency of the nonsingular meshless method (MLM) was analyzed in an acoustic indoor problem. The solution was assumed in the form of the series of radial bases functions (RBFs). Three representative kinds of RBF were chosen: the Hardy’s multiquadratic, inverse multiquadratic, Duchon’s function...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2020-02-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2560 |
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| author | Edyta PRĘDKA Adam Jan BRANSKI |
| author_facet | Edyta PRĘDKA Adam Jan BRANSKI |
| author_sort | Edyta PRĘDKA |
| collection | DOAJ |
| description | An efficiency of the nonsingular meshless method (MLM) was analyzed in an acoustic indoor problem. The solution was assumed in the form of the series of radial bases functions (RBFs). Three representative kinds of RBF were chosen: the Hardy’s multiquadratic, inverse multiquadratic, Duchon’s functions. The room acoustic field with uniform, impedance walls was considered. To achieve the goal, relationships among physical parameters of the problem and parameters of the approximate solution were first found. Physical parameters constitute the sound absorption coefficient of the boundary and the frequency of acoustic vibrations. In turn, parameters of the solution are the kind of RBFs, the number of elements in the series of the solution and the number and distribution of influence points. Next, it was shown that the approximate acoustic field can be calculated using MLM with a priori error assumed. All approximate results, averaged over representative rectangular section of the room, were calculated and then compared to the corresponding accurate results. This way, it was proved that the MLM, based on RBFs, is efficient method in description of acoustic boundary problems with impedance boundary conditions and in all acoustic frequencies. |
| format | Article |
| id | doaj-art-70f058305c3a4500b71f4d7575bbb3bf |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2020-02-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-70f058305c3a4500b71f4d7575bbb3bf2025-08-20T03:34:01ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2020-02-0145110.24425/aoa.2020.132484Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic FrequenciesEdyta PRĘDKA0Adam Jan BRANSKI1Technical University of RzeszówTechnical University of RzeszówAn efficiency of the nonsingular meshless method (MLM) was analyzed in an acoustic indoor problem. The solution was assumed in the form of the series of radial bases functions (RBFs). Three representative kinds of RBF were chosen: the Hardy’s multiquadratic, inverse multiquadratic, Duchon’s functions. The room acoustic field with uniform, impedance walls was considered. To achieve the goal, relationships among physical parameters of the problem and parameters of the approximate solution were first found. Physical parameters constitute the sound absorption coefficient of the boundary and the frequency of acoustic vibrations. In turn, parameters of the solution are the kind of RBFs, the number of elements in the series of the solution and the number and distribution of influence points. Next, it was shown that the approximate acoustic field can be calculated using MLM with a priori error assumed. All approximate results, averaged over representative rectangular section of the room, were calculated and then compared to the corresponding accurate results. This way, it was proved that the MLM, based on RBFs, is efficient method in description of acoustic boundary problems with impedance boundary conditions and in all acoustic frequencies.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2560architectural acousticmeshless methodradial bases functionsimpedance boundary condition |
| spellingShingle | Edyta PRĘDKA Adam Jan BRANSKI Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies Archives of Acoustics architectural acoustic meshless method radial bases functions impedance boundary condition |
| title | Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies |
| title_full | Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies |
| title_fullStr | Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies |
| title_full_unstemmed | Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies |
| title_short | Analysis of the Room Acoustic with Impedance Boundary Conditions in the Full Range of Acoustic Frequencies |
| title_sort | analysis of the room acoustic with impedance boundary conditions in the full range of acoustic frequencies |
| topic | architectural acoustic meshless method radial bases functions impedance boundary condition |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2560 |
| work_keys_str_mv | AT edytapredka analysisoftheroomacousticwithimpedanceboundaryconditionsinthefullrangeofacousticfrequencies AT adamjanbranski analysisoftheroomacousticwithimpedanceboundaryconditionsinthefullrangeofacousticfrequencies |