Transmission loss limitations of embedded acoustic black holes.

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Title: Transmission loss limitations of embedded acoustic black holes.
Authors: Deng, Jie1,2 (AUTHOR) jie.deng@salle.url.edu, Guasch, Oriol2 (AUTHOR), Maxit, Laurent3 (AUTHOR)
Source: Journal of Sound & Vibration. Jan2026, Vol. 620, pN.PAG-N.PAG. 1p.
Subjects: Acoustic vibrations, Acoustic radiation, Rayleigh-Ritz method, Energy dissipation, Acoustic resonators, Coupled mode theory (Wave-motion)
Abstract: Acoustic black hole (ABH) indentations in beams and plates are known to reduce vibrations and sound radiation above their cut-on frequency, f cut−on. However, their effect on transmission loss between cavities has not been fully explored. This study presents a two-dimensional model, representative of a three-dimensional case, that demonstrates that when the ABH cut-on frequency f cut−on is lower than the plate's critical frequency f crit , an ABH beam can underperform a uniform one in the frequency range f cut−on < f < f crit , leading to lower transmission loss. It is demonstrated that this counterintuitive behavior is linked to the excitation of different types of global modes in the coupled system (Source cavity - ABH beam - Receiver cavity) and to low-frequency non-resonant modes in the ABH beam, which lie in the radiation domain and inhibit the ABH effect. As a result, the acoustic pressure in the receiver cavity becomes higher compared to that for a uniform beam partition. The two-dimensional model is analyzed using a Rayleigh–Ritz formulation that couples the beam's bending displacement to the acoustic particle displacement in the cavities. Natural boundary and traction continuity conditions are imposed weakly, while essential and displacement continuity conditions are enforced using the nullspace method, thus avoiding explicit coupling matrices. [Display omitted] • Transmission loss of acoustic black holes shows previously unrecognized limitations. • A uniform beam outperforms ABHs between the cut-on and critical frequencies. • A displacement formulation is developed to analyze the elastoacoustic problem. • The ABH low-frequency non-resonant modes are responsible for the inefficiency. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Sound & Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Transmission loss limitations of embedded acoustic black holes.
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  Data: &lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Deng%2C+Jie%22&quot;&gt;Deng, Jie&lt;/searchLink&gt;&lt;relatesTo&gt;1,2&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; jie.deng@salle.url.edu&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Guasch%2C+Oriol%22&quot;&gt;Guasch, Oriol&lt;/searchLink&gt;&lt;relatesTo&gt;2&lt;/relatesTo&gt; (AUTHOR)&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Maxit%2C+Laurent%22&quot;&gt;Maxit, Laurent&lt;/searchLink&gt;&lt;relatesTo&gt;3&lt;/relatesTo&gt; (AUTHOR)
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Acoustic black hole (ABH) indentations in beams and plates are known to reduce vibrations and sound radiation above their cut-on frequency, f cut−on. However, their effect on transmission loss between cavities has not been fully explored. This study presents a two-dimensional model, representative of a three-dimensional case, that demonstrates that when the ABH cut-on frequency f cut−on is lower than the plate&#39;s critical frequency f crit , an ABH beam can underperform a uniform one in the frequency range f cut−on &lt; f &lt; f crit , leading to lower transmission loss. It is demonstrated that this counterintuitive behavior is linked to the excitation of different types of global modes in the coupled system (Source cavity - ABH beam - Receiver cavity) and to low-frequency non-resonant modes in the ABH beam, which lie in the radiation domain and inhibit the ABH effect. As a result, the acoustic pressure in the receiver cavity becomes higher compared to that for a uniform beam partition. The two-dimensional model is analyzed using a Rayleigh–Ritz formulation that couples the beam&#39;s bending displacement to the acoustic particle displacement in the cavities. Natural boundary and traction continuity conditions are imposed weakly, while essential and displacement continuity conditions are enforced using the nullspace method, thus avoiding explicit coupling matrices. [Display omitted] • Transmission loss of acoustic black holes shows previously unrecognized limitations. • A uniform beam outperforms ABHs between the cut-on and critical frequencies. • A displacement formulation is developed to analyze the elastoacoustic problem. • The ABH low-frequency non-resonant modes are responsible for the inefficiency. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: &lt;i&gt;Copyright of Journal of Sound &amp; Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jsv.2025.119493
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Acoustic vibrations
        Type: general
      – SubjectFull: Acoustic radiation
        Type: general
      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Acoustic resonators
        Type: general
      – SubjectFull: Coupled mode theory (Wave-motion)
        Type: general
    Titles:
      – TitleFull: Transmission loss limitations of embedded acoustic black holes.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Deng, Jie
      – PersonEntity:
          Name:
            NameFull: Guasch, Oriol
      – PersonEntity:
          Name:
            NameFull: Maxit, Laurent
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      – BibEntity:
          Dates:
            – D: 05
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 0022460X
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            – Type: volume
              Value: 620
          Titles:
            – TitleFull: Journal of Sound & Vibration
              Type: main
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