On the bandgap mechanism of periodic acoustic black holes.

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Title: On the bandgap mechanism of periodic acoustic black holes.
Authors: Deng, Jie1,2 (AUTHOR) dengjie_cn@outlook.com, Guasch, Oriol2 (AUTHOR)
Source: Journal of Sound & Vibration. Jun2024, Vol. 579, pN.PAG-N.PAG. 1p.
Subjects: Black holes, Acoustic wave propagation
Abstract: Acoustic black holes (ABHs) are primarily intended to eliminate the propagation of bending waves in structures although the same physical principles have been used to reduce the propagation of acoustic waves in ducts. The latter are usually referred to as sonic black holes (SBHs). ABHs (and also SBHs) only work well above a certain cut-on frequency which depends on their size compared to the incident wavelength. This limits their effectiveness to the high frequency range. To overcome this problem, several works have proposed the design of periodic ABHs to generate stopbands for low frequencies and improve their operating range. The purpose of this communication is to shed some light on the nature of such bandgaps. The k (ω) method is used to calculate the complex dispersion curves of various periodic ABH configurations and it is shown that, contrary to what is suggested in many works, the generation of bandgaps is essentially due to Bragg scattering and not to local resonances for embedded ABHs, although the latter play a role in some cases. The opposite occurs for additive ABHs. It is also observed that the complex dispersion curves of periodic ABHs present an intriguing behaviour compared to those usually found in metamaterials, since they tend to disappear at high frequencies, where the local wave intensity is stronger. An explanation of all these facts is given in the case of a periodic SBH, single-leaf and double-leaf embedded ABHs, and pillar and single-leaf additive ABHs. • The k (ω) method is used to analyse bandgap formation in periodic acoustic black holes. • Bragg scattering is responsible for bandgaps in periodic sonic black holes. • It also dominates bandgap formation in periodic embedded acoustic black holes. • Local resonances are the main mechanism in periodic additive acoustic black holes. • Bandgaps smear out at higher frequencies due to the black hole effect. [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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  Data: On the bandgap mechanism of periodic acoustic black holes.
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  Data: <searchLink fieldCode="AR" term="%22Deng%2C+Jie%22">Deng, Jie</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> dengjie_cn@outlook.com</i><br /><searchLink fieldCode="AR" term="%22Guasch%2C+Oriol%22">Guasch, Oriol</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Sound+%26+Vibration%22">Journal of Sound & Vibration</searchLink>. Jun2024, Vol. 579, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Black+holes%22">Black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustic+wave+propagation%22">Acoustic wave propagation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Acoustic black holes (ABHs) are primarily intended to eliminate the propagation of bending waves in structures although the same physical principles have been used to reduce the propagation of acoustic waves in ducts. The latter are usually referred to as sonic black holes (SBHs). ABHs (and also SBHs) only work well above a certain cut-on frequency which depends on their size compared to the incident wavelength. This limits their effectiveness to the high frequency range. To overcome this problem, several works have proposed the design of periodic ABHs to generate stopbands for low frequencies and improve their operating range. The purpose of this communication is to shed some light on the nature of such bandgaps. The k (ω) method is used to calculate the complex dispersion curves of various periodic ABH configurations and it is shown that, contrary to what is suggested in many works, the generation of bandgaps is essentially due to Bragg scattering and not to local resonances for embedded ABHs, although the latter play a role in some cases. The opposite occurs for additive ABHs. It is also observed that the complex dispersion curves of periodic ABHs present an intriguing behaviour compared to those usually found in metamaterials, since they tend to disappear at high frequencies, where the local wave intensity is stronger. An explanation of all these facts is given in the case of a periodic SBH, single-leaf and double-leaf embedded ABHs, and pillar and single-leaf additive ABHs. • The k (ω) method is used to analyse bandgap formation in periodic acoustic black holes. • Bragg scattering is responsible for bandgaps in periodic sonic black holes. • It also dominates bandgap formation in periodic embedded acoustic black holes. • Local resonances are the main mechanism in periodic additive acoustic black holes. • Bandgaps smear out at higher frequencies due to the black hole effect. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>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.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jsv.2024.118379
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Black holes
        Type: general
      – SubjectFull: Acoustic wave propagation
        Type: general
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      – TitleFull: On the bandgap mechanism of periodic acoustic black holes.
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            NameFull: Deng, Jie
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            NameFull: Guasch, Oriol
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          Dates:
            – D: 09
              M: 06
              Text: Jun2024
              Type: published
              Y: 2024
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              Value: 579
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            – TitleFull: Journal of Sound & Vibration
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