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Dynamic substructuring for mechanical systems with frequency-dependent materials using a POD-based model reduction method.

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Title: Dynamic substructuring for mechanical systems with frequency-dependent materials using a POD-based model reduction method.
Authors: Berthet, Alexandre1 (AUTHOR) alexandre.berthet@utc.fr, Perrey-Debain, Emmanuel1 (AUTHOR) emmanuel.perrey-debain@utc.fr, Chazot, Jean-Daniel1 (AUTHOR) jean-daniel.chazot@utc.fr, Germès, Sylvain2 (AUTHOR) sylvain.germes@saint-gobain.com
Source: Journal of Sound & Vibration. Jan2024, Vol. 569, pN.PAG-N.PAG. 1p.
Subjects: Proper orthogonal decomposition, Elastic analysis (Engineering), Substructuring techniques, Lagrange multiplier, Viscoelastic materials
Abstract: Based on the Balanced Truncation approach, a novel methodology for the construction of a superelement for the dynamic analysis of elastic structures made with viscoelastic materials is presented. Contrary to classical modal reduction techniques (Craig-Bampton, MacNeal) where the normal modes basis must be enriched to account for damping effects, the methodology presented here takes advantage of the Golla–Hughes–McTavish rheological model (GHM) before reducing the system via the Balanced Proper Orthogonal Decomposition (BPOD). The Lagrange multipliers are finally employed to couple the reduced system to a host structure, as made in popular dynamic substructuring techniques. This method has two major advantages. First, substantial savings are achieved by the judicious combination of GHM and POD techniques. Second, the reduced system takes the form of a constant matrix of small size which permits to preserve confidentiality. [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.)
Database: Engineering Source
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  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 173475006
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Dynamic substructuring for mechanical systems with frequency-dependent materials using a POD-based model reduction method.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Sound+%26+Vibration%22">Journal of Sound & Vibration</searchLink>. Jan2024, Vol. 569, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Proper+orthogonal+decomposition%22">Proper orthogonal decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+analysis+%28Engineering%29%22">Elastic analysis (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Substructuring+techniques%22">Substructuring techniques</searchLink><br /><searchLink fieldCode="DE" term="%22Lagrange+multiplier%22">Lagrange multiplier</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Based on the Balanced Truncation approach, a novel methodology for the construction of a superelement for the dynamic analysis of elastic structures made with viscoelastic materials is presented. Contrary to classical modal reduction techniques (Craig-Bampton, MacNeal) where the normal modes basis must be enriched to account for damping effects, the methodology presented here takes advantage of the Golla–Hughes–McTavish rheological model (GHM) before reducing the system via the Balanced Proper Orthogonal Decomposition (BPOD). The Lagrange multipliers are finally employed to couple the reduced system to a host structure, as made in popular dynamic substructuring techniques. This method has two major advantages. First, substantial savings are achieved by the judicious combination of GHM and POD techniques. Second, the reduced system takes the form of a constant matrix of small size which permits to preserve confidentiality. [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.2023.117941
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Proper orthogonal decomposition
        Type: general
      – SubjectFull: Elastic analysis (Engineering)
        Type: general
      – SubjectFull: Substructuring techniques
        Type: general
      – SubjectFull: Lagrange multiplier
        Type: general
      – SubjectFull: Viscoelastic materials
        Type: general
    Titles:
      – TitleFull: Dynamic substructuring for mechanical systems with frequency-dependent materials using a POD-based model reduction method.
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            NameFull: Berthet, Alexandre
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            NameFull: Perrey-Debain, Emmanuel
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            NameFull: Chazot, Jean-Daniel
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            NameFull: Germès, Sylvain
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          Dates:
            – D: 20
              M: 01
              Text: Jan2024
              Type: published
              Y: 2024
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              Value: 0022460X
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              Value: 569
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            – TitleFull: Journal of Sound & Vibration
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