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Grouped inerter-resonator arrays for broadband reduction of plate mobility and radiated sound power using modal receptance synthesis.

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Title: Grouped inerter-resonator arrays for broadband reduction of plate mobility and radiated sound power using modal receptance synthesis.
Authors: Nijalingappa, Yogeesh1,2 yogeesh.r@gmail.com, Vasudevan, Asokan3, Abdullah, Mustafa4, Marulappa, Shankaralingappa Bheemasandra5, Mohammad, Suleiman Ibrahim2, Siddagangaiah, Ashalatha Kodihalli6
Source: Sound & Vibration. 2026, Vol. 60 Issue 3, p1-20. 20p.
Subjects: Structural plates, Vibration absorbers, Acoustic radiation, Structural acoustics, Frequency-domain analysis, Active noise & vibration control
Abstract: A plate-type vibroacoustic treatment is developed in which a simply supported Kirchhoff plate is coupled to a grouped array of parallel spring-damper-mass-inerter attachments. The emphasis is intentionally computational. The plate equation is reduced to a modal receptance form using 36 orthogonal sine modes, and the local attachments are eliminated analytically so that each attachment contributes a rank-one dynamic stiffness term. The resulting frequency-domain matrix remains explicit and can therefore be evaluated over large parameter grids without rederiving the governing equations. For the present plate, the bending rigidity is D = 102.285 N·m, the areal density is mp = ρh = 6.750 kg/m², the planform area is S = 0.270 m², and the total plate mass is Mp = 1.8225 kg. The sixteen attachments are arranged on a 4 × 4 grid and grouped columnwise at target frequencies, which are 72.324, 159.048, 288.108, 483.210 Hz. With the reference internal mass m = 0.026 kg, inertance ratio β = b/m = 1.00, tuning scale 0.9, spread coefficient 0.18, and damping ratio ζ = 0.060, the grouped inerter-resonator array yields average reductions of 4.618 dB in point mobility and 3.033 dB in both mean-square velocity and radiated sound-power proxy over 80-600 Hz. The spring-mass reference under identical internal mass produces corresponding lower averages of 3.728 and 2.598 dB. As per this study, the peak-by-peak reductions exceed 20 dB at several dominant modal peaks, while tuning scatter of 5% root-mean-square leaves the average velocity reduction essentially unchanged. [ABSTRACT FROM AUTHOR]
Copyright of Sound & Vibration is the property of Academic Publishing 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: Grouped inerter-resonator arrays for broadband reduction of plate mobility and radiated sound power using modal receptance synthesis.
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  Data: <searchLink fieldCode="AR" term="%22Nijalingappa%2C+Yogeesh%22">Nijalingappa, Yogeesh</searchLink><relatesTo>1,2</relatesTo><i> yogeesh.r@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Vasudevan%2C+Asokan%22">Vasudevan, Asokan</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Abdullah%2C+Mustafa%22">Abdullah, Mustafa</searchLink><relatesTo>4</relatesTo><br /><searchLink fieldCode="AR" term="%22Marulappa%2C+Shankaralingappa+Bheemasandra%22">Marulappa, Shankaralingappa Bheemasandra</searchLink><relatesTo>5</relatesTo><br /><searchLink fieldCode="AR" term="%22Mohammad%2C+Suleiman+Ibrahim%22">Mohammad, Suleiman Ibrahim</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Siddagangaiah%2C+Ashalatha+Kodihalli%22">Siddagangaiah, Ashalatha Kodihalli</searchLink><relatesTo>6</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Sound+%26+Vibration%22">Sound & Vibration</searchLink>. 2026, Vol. 60 Issue 3, p1-20. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+absorbers%22">Vibration absorbers</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustic+radiation%22">Acoustic radiation</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+acoustics%22">Structural acoustics</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency-domain+analysis%22">Frequency-domain analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Active+noise+%26+vibration+control%22">Active noise & vibration control</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A plate-type vibroacoustic treatment is developed in which a simply supported Kirchhoff plate is coupled to a grouped array of parallel spring-damper-mass-inerter attachments. The emphasis is intentionally computational. The plate equation is reduced to a modal receptance form using 36 orthogonal sine modes, and the local attachments are eliminated analytically so that each attachment contributes a rank-one dynamic stiffness term. The resulting frequency-domain matrix remains explicit and can therefore be evaluated over large parameter grids without rederiving the governing equations. For the present plate, the bending rigidity is D = 102.285 N·m, the areal density is mp = ρh = 6.750 kg/m², the planform area is S = 0.270 m², and the total plate mass is Mp = 1.8225 kg. The sixteen attachments are arranged on a 4 × 4 grid and grouped columnwise at target frequencies, which are 72.324, 159.048, 288.108, 483.210 Hz. With the reference internal mass m = 0.026 kg, inertance ratio β = b/m = 1.00, tuning scale 0.9, spread coefficient 0.18, and damping ratio ζ = 0.060, the grouped inerter-resonator array yields average reductions of 4.618 dB in point mobility and 3.033 dB in both mean-square velocity and radiated sound-power proxy over 80-600 Hz. The spring-mass reference under identical internal mass produces corresponding lower averages of 3.728 and 2.598 dB. As per this study, the peak-by-peak reductions exceed 20 dB at several dominant modal peaks, while tuning scatter of 5% root-mean-square leaves the average velocity reduction essentially unchanged. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Sound & Vibration is the property of Academic Publishing 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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        Value: 10.59400/sv4199
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        Text: English
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        PageCount: 20
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      – SubjectFull: Structural plates
        Type: general
      – SubjectFull: Vibration absorbers
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      – SubjectFull: Acoustic radiation
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      – SubjectFull: Structural acoustics
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      – SubjectFull: Frequency-domain analysis
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      – SubjectFull: Active noise & vibration control
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      – TitleFull: Grouped inerter-resonator arrays for broadband reduction of plate mobility and radiated sound power using modal receptance synthesis.
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            NameFull: Nijalingappa, Yogeesh
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            NameFull: Vasudevan, Asokan
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            – D: 01
              M: 05
              Text: 2026
              Type: published
              Y: 2026
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