Breaking the mass law for broadband sound insulation through strongly nonlinear interactions
Sound transmission through panels is governed by the well-known mass law in the mid-frequency range. This paper reveals a possibility of breaking this density-dominant law through strongly nonlinear interaction, while broadening the bandwidth for effective sound insulation. For this purpose, a basic...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acf394 |
| _version_ | 1797691453106814976 |
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| author | Xin Fang Tao Li Bin Hu Miao Yu Peng Sheng Jihong Wen Li Cheng |
| author_facet | Xin Fang Tao Li Bin Hu Miao Yu Peng Sheng Jihong Wen Li Cheng |
| author_sort | Xin Fang |
| collection | DOAJ |
| description | Sound transmission through panels is governed by the well-known mass law in the mid-frequency range. This paper reveals a possibility of breaking this density-dominant law through strongly nonlinear interaction, while broadening the bandwidth for effective sound insulation. For this purpose, a basic model is established, and corresponding exact analytical methods for bifurcation and stability analyses are proposed. Influences of four typical types of nonlinear interactions on the wave insulation are analytically and numerically investigated. We find that, by introducing strongly nonlinear interactions at appropriate locations, the nonlinear model can not only break the barrier imposed by the mass law, but also entails broadband sound insulation by 2–3 times relative to the optimal linear model. Meanwhile, the sound insulation valley due to the coincident effects can also be eliminated. With bifurcation and effective mass, we clarify that the enhanced wave insulation of the strongly nonlinear models arises from the broader band of super mass induced by strongly nonlinear local resonances, which depends on the bifurcation of periodic solutions. The proposed models and the findings provide a solid basis and new possibilities for wave insulation in complex nonlinear structures and nonlinear acoustic metamaterials. |
| first_indexed | 2024-03-12T02:13:32Z |
| format | Article |
| id | doaj.art-ce271d35789f4c78bfe1ae436d553b62 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T02:13:32Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ce271d35789f4c78bfe1ae436d553b622023-09-06T11:40:43ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125909301010.1088/1367-2630/acf394Breaking the mass law for broadband sound insulation through strongly nonlinear interactionsXin Fang0https://orcid.org/0000-0002-2655-3805Tao Li1Bin Hu2Miao Yu3Peng Sheng4Jihong Wen5Li Cheng6https://orcid.org/0000-0001-6110-8099College of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaCollege of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaCollege of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaCollege of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaCollege of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaCollege of Intelligent Science, National University of Defense Technology , Changsha, Hunan 410073, People’s Republic of ChinaDepartment of Mechanical Engineering, Hong Kong Polytechnic University , Hong Kong, People’s Republic of ChinaSound transmission through panels is governed by the well-known mass law in the mid-frequency range. This paper reveals a possibility of breaking this density-dominant law through strongly nonlinear interaction, while broadening the bandwidth for effective sound insulation. For this purpose, a basic model is established, and corresponding exact analytical methods for bifurcation and stability analyses are proposed. Influences of four typical types of nonlinear interactions on the wave insulation are analytically and numerically investigated. We find that, by introducing strongly nonlinear interactions at appropriate locations, the nonlinear model can not only break the barrier imposed by the mass law, but also entails broadband sound insulation by 2–3 times relative to the optimal linear model. Meanwhile, the sound insulation valley due to the coincident effects can also be eliminated. With bifurcation and effective mass, we clarify that the enhanced wave insulation of the strongly nonlinear models arises from the broader band of super mass induced by strongly nonlinear local resonances, which depends on the bifurcation of periodic solutions. The proposed models and the findings provide a solid basis and new possibilities for wave insulation in complex nonlinear structures and nonlinear acoustic metamaterials.https://doi.org/10.1088/1367-2630/acf394sound insulationnonlinearbroadbandmass lawmetamaterial |
| spellingShingle | Xin Fang Tao Li Bin Hu Miao Yu Peng Sheng Jihong Wen Li Cheng Breaking the mass law for broadband sound insulation through strongly nonlinear interactions New Journal of Physics sound insulation nonlinear broadband mass law metamaterial |
| title | Breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| title_full | Breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| title_fullStr | Breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| title_full_unstemmed | Breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| title_short | Breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| title_sort | breaking the mass law for broadband sound insulation through strongly nonlinear interactions |
| topic | sound insulation nonlinear broadband mass law metamaterial |
| url | https://doi.org/10.1088/1367-2630/acf394 |
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