Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model
Some acoustic problems such as interior noise analysis of vehicles need to be treated as structural-acoustic coupled problems because the coupling effect cannot be ignored. To solve such problems, the finite element method (FEM) has been used. However, the acoustic space is described by sound pressu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2016-03-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/82/836/82_15-00584/_pdf/-char/en |
| _version_ | 1798015172106780672 |
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| author | Ataru MATSUO Satoshi ISHIKAWA Shinya KIJIMOTO Ryoma OWAKI |
| author_facet | Ataru MATSUO Satoshi ISHIKAWA Shinya KIJIMOTO Ryoma OWAKI |
| author_sort | Ataru MATSUO |
| collection | DOAJ |
| description | Some acoustic problems such as interior noise analysis of vehicles need to be treated as structural-acoustic coupled problems because the coupling effect cannot be ignored. To solve such problems, the finite element method (FEM) has been used. However, the acoustic space is described by sound pressure and the structure is described by displacement. Therefore, the mass matrix and stiffness matrix of FEM are asymmetric, and it takes a long time to conduct eigenvalue analysis. In our previous studies, we proposed a concentrated mass model to perform acoustic analysis. In this study, we propose a concentrated mass model to analyze a coupled system of two-dimensional acoustic space and a membrane. This model consists of mass points and connecting springs. The advantage of this model is that the mass matrix and stiffness matrix are symmetric because both the acoustic space and the membrane are described by the displacement of the mass points. We conducted eigenvalue analysis and compared the proposed model with FEM. There are some modes such as spurious modes and zero-frequency modes that are physically meaningless. However, excepting these modes, the eigenvalue analysis result obtained using the proposed model agrees with the natural frequencies and natural modes obtained by FEM. Moreover, the eigenvalue analysis result becomes more accurate as the mass points of the acoustic space are placed closer to the mass points of the membrane because the boundary conditions are satisfied. Furthermore, we compared the proposed model with FEM in terms of the time required for the eigenvalue analysis. Because the mass matrix and stiffness matrix of the proposed model are symmetric, its eigenvalue analysis is faster than that of FEM, whose matrixes are asymmetric. Therefore, we conclude that the proposed model is valid for the coupled analysis of two-dimensional acoustic space and membrane vibration and is superior to FEM in terms of calculation time. |
| first_indexed | 2024-04-11T15:30:35Z |
| format | Article |
| id | doaj.art-90bcd7cdb5a444b18c1a8858f039c999 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T15:30:35Z |
| publishDate | 2016-03-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-90bcd7cdb5a444b18c1a8858f039c9992022-12-22T04:16:09ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612016-03-018283615-0058415-0058410.1299/transjsme.15-00584transjsmeCoupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass modelAtaru MATSUO0Satoshi ISHIKAWA1Shinya KIJIMOTO2Ryoma OWAKI3Department of Mechanical Engineering, Faculty of Engineering, Kyushu UniversityDepartment of Mechanical Engineering, Faculty of Engineering, Kyushu UniversityDepartment of Mechanical Engineering, Faculty of Engineering, Kyushu UniversityMitsubishi Electric CorporationSome acoustic problems such as interior noise analysis of vehicles need to be treated as structural-acoustic coupled problems because the coupling effect cannot be ignored. To solve such problems, the finite element method (FEM) has been used. However, the acoustic space is described by sound pressure and the structure is described by displacement. Therefore, the mass matrix and stiffness matrix of FEM are asymmetric, and it takes a long time to conduct eigenvalue analysis. In our previous studies, we proposed a concentrated mass model to perform acoustic analysis. In this study, we propose a concentrated mass model to analyze a coupled system of two-dimensional acoustic space and a membrane. This model consists of mass points and connecting springs. The advantage of this model is that the mass matrix and stiffness matrix are symmetric because both the acoustic space and the membrane are described by the displacement of the mass points. We conducted eigenvalue analysis and compared the proposed model with FEM. There are some modes such as spurious modes and zero-frequency modes that are physically meaningless. However, excepting these modes, the eigenvalue analysis result obtained using the proposed model agrees with the natural frequencies and natural modes obtained by FEM. Moreover, the eigenvalue analysis result becomes more accurate as the mass points of the acoustic space are placed closer to the mass points of the membrane because the boundary conditions are satisfied. Furthermore, we compared the proposed model with FEM in terms of the time required for the eigenvalue analysis. Because the mass matrix and stiffness matrix of the proposed model are symmetric, its eigenvalue analysis is faster than that of FEM, whose matrixes are asymmetric. Therefore, we conclude that the proposed model is valid for the coupled analysis of two-dimensional acoustic space and membrane vibration and is superior to FEM in terms of calculation time.https://www.jstage.jst.go.jp/article/transjsme/82/836/82_15-00584/_pdf/-char/ensimulationmodelingsound and acousticsacoustic analysiscoupled vibrationcoupled analysisconcentrated mass model |
| spellingShingle | Ataru MATSUO Satoshi ISHIKAWA Shinya KIJIMOTO Ryoma OWAKI Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model Nihon Kikai Gakkai ronbunshu simulation modeling sound and acoustics acoustic analysis coupled vibration coupled analysis concentrated mass model |
| title | Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model |
| title_full | Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model |
| title_fullStr | Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model |
| title_full_unstemmed | Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model |
| title_short | Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model |
| title_sort | coupled analysis of two dimensional acoustic and membrane vibration by concentrated mass model |
| topic | simulation modeling sound and acoustics acoustic analysis coupled vibration coupled analysis concentrated mass model |
| url | https://www.jstage.jst.go.jp/article/transjsme/82/836/82_15-00584/_pdf/-char/en |
| work_keys_str_mv | AT atarumatsuo coupledanalysisoftwodimensionalacousticandmembranevibrationbyconcentratedmassmodel AT satoshiishikawa coupledanalysisoftwodimensionalacousticandmembranevibrationbyconcentratedmassmodel AT shinyakijimoto coupledanalysisoftwodimensionalacousticandmembranevibrationbyconcentratedmassmodel AT ryomaowaki coupledanalysisoftwodimensionalacousticandmembranevibrationbyconcentratedmassmodel |