Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies
We propose a method of defining absorbing boundary conditions for use in finite element modeling of mechanoacoustic systems. The finite element model of an elastic body is expanded by a water domain, bounded by an axisymmetric surface, to which boundary conditions are applied. The boundary condition...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9524376 |
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| author | Mikhail B. Salin Sergey A. Smirnov Anatoliy S. Suvorov Irina A. Usacheva Irina A. V’yushkina |
| author_facet | Mikhail B. Salin Sergey A. Smirnov Anatoliy S. Suvorov Irina A. Usacheva Irina A. V’yushkina |
| author_sort | Mikhail B. Salin |
| collection | DOAJ |
| description | We propose a method of defining absorbing boundary conditions for use in finite element modeling of mechanoacoustic systems. The finite element model of an elastic body is expanded by a water domain, bounded by an axisymmetric surface, to which boundary conditions are applied. The boundary conditions are formed using the method of equivalent sources, so the integral relations for the pressure and its gradient are derived. The method retains its validity for the modeling of radiation in the low-frequency range, as it provides not only the absorption of outgoing waves but also the modeling of the added mass of vibrating elastic bodies. |
| format | Article |
| id | doaj-art-e6727329d44c4591ae5b8d444655a8ae |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e6727329d44c4591ae5b8d444655a8ae2025-08-20T02:21:03ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/9524376Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated BodiesMikhail B. Salin0Sergey A. Smirnov1Anatoliy S. Suvorov2Irina A. Usacheva3Irina A. V’yushkina4Center for HydroacousticsCenter for HydroacousticsCenter for HydroacousticsCenter for HydroacousticsCenter for HydroacousticsWe propose a method of defining absorbing boundary conditions for use in finite element modeling of mechanoacoustic systems. The finite element model of an elastic body is expanded by a water domain, bounded by an axisymmetric surface, to which boundary conditions are applied. The boundary conditions are formed using the method of equivalent sources, so the integral relations for the pressure and its gradient are derived. The method retains its validity for the modeling of radiation in the low-frequency range, as it provides not only the absorption of outgoing waves but also the modeling of the added mass of vibrating elastic bodies.http://dx.doi.org/10.1155/2022/9524376 |
| spellingShingle | Mikhail B. Salin Sergey A. Smirnov Anatoliy S. Suvorov Irina A. Usacheva Irina A. V’yushkina Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies Journal of Applied Mathematics |
| title | Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies |
| title_full | Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies |
| title_fullStr | Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies |
| title_full_unstemmed | Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies |
| title_short | Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies |
| title_sort | integral absorbing boundary conditions optimized for modelling of acoustic radiation of elongated bodies |
| url | http://dx.doi.org/10.1155/2022/9524376 |
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