Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct
Scattering of sound waves in two stepped cylindrical duct which walls are coated with different acoustically absorbent materials is investigated by using Wiener-Hopf technique directly and by determining scattering matrices. First, by using Fourier transform technique we obtain a couple of modified...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research Polish Academy of Sciences
2020-07-01
|
| Series: | Archives of Acoustics |
| Subjects: | |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2745 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849693827587112960 |
|---|---|
| author | Ayşe TIRYAKIOGLU Ahmet DEMIR |
| author_facet | Ayşe TIRYAKIOGLU Ahmet DEMIR |
| author_sort | Ayşe TIRYAKIOGLU |
| collection | DOAJ |
| description | Scattering of sound waves in two stepped cylindrical duct which walls are coated with different acoustically absorbent materials is investigated by using Wiener-Hopf technique directly and by determining scattering matrices. First, by using Fourier transform technique we obtain a couple of modified Wiener-Hopf equations whose solutions involve four sets of infinitely many unknown expansion coefficients providing systems of linear algebraic equations. Then we determine scattering matrices of the problem and we state the total transmitted field by using generalized scattering matrix method. Numerical results are compared for different parameters. |
| format | Article |
| id | doaj-art-c7ef0a536ef849a6b51d183fd24662a6 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2020-07-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-c7ef0a536ef849a6b51d183fd24662a62025-08-20T03:20:16ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2020-07-0145310.24425/aoa.2020.134068Scattering of Sound Waves in Two Stepped Non-uniformly Lined DuctAyşe TIRYAKIOGLU0Ahmet DEMIR1Gebze Technical UniversityKarabuk UniversityScattering of sound waves in two stepped cylindrical duct which walls are coated with different acoustically absorbent materials is investigated by using Wiener-Hopf technique directly and by determining scattering matrices. First, by using Fourier transform technique we obtain a couple of modified Wiener-Hopf equations whose solutions involve four sets of infinitely many unknown expansion coefficients providing systems of linear algebraic equations. Then we determine scattering matrices of the problem and we state the total transmitted field by using generalized scattering matrix method. Numerical results are compared for different parameters.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2745Wiener-Hopfscattering matricesstep discontinuityimpedance discontinuityduct |
| spellingShingle | Ayşe TIRYAKIOGLU Ahmet DEMIR Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct Archives of Acoustics Wiener-Hopf scattering matrices step discontinuity impedance discontinuity duct |
| title | Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct |
| title_full | Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct |
| title_fullStr | Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct |
| title_full_unstemmed | Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct |
| title_short | Scattering of Sound Waves in Two Stepped Non-uniformly Lined Duct |
| title_sort | scattering of sound waves in two stepped non uniformly lined duct |
| topic | Wiener-Hopf scattering matrices step discontinuity impedance discontinuity duct |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2745 |
| work_keys_str_mv | AT aysetiryakioglu scatteringofsoundwavesintwosteppednonuniformlylinedduct AT ahmetdemir scatteringofsoundwavesintwosteppednonuniformlylinedduct |