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Homogenized bending model of a periodic ribbed plate with inner resonance.

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Title: Homogenized bending model of a periodic ribbed plate with inner resonance.
Authors: Fossat, Pascal1,2 pascal.fossat.3@gmail.com, Boutin, Claude1, Ichchou, Mohamed2
Source: Procedia Engineering. 2017, Vol. 199, p1435-1440. 6p.
Subjects: Resonance, Asymptotic normality, Mechanical behavior of materials, Unit cell, Dispersion (Chemistry)
Abstract: The dynamic behavior of a periodic ribbed plate with local resonances is investigated in this paper. The behavior of the unit cell comprises a beam clamped along a plate edge is analyzed via a multi-scale asymptotic method. This allows to derive the governing effective equations that describe the mechanical behavior of the material. This approach allows obtaining a relevant representation of the bending mechanisms at both global and local scales. A bending model is derived first from linear elasticity constitutive laws applied to the plate-beam coupled system. The resolution of the problem in frequency domain leads to dispersion relations and enables to investigate the band gaps associated with the structure. This model permits to identify suitable conditions for which inner resonances exist. Such conditions are determined by the geometrical and mechanical contrasts of the structural components. The validity and feasibility of the model are verified by comparing its theoretical predictions with numerical simulations (FEM/WFEM). This approach can be used to describe the motion of ribbed panels of industrial interest and/or design structures having specific atypical features in a given frequency range. [ABSTRACT FROM AUTHOR]
Copyright of Procedia Engineering is the property of Elsevier B.V. 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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Header DbId: egs
DbLabel: Engineering Source
An: 125100593
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Homogenized bending model of a periodic ribbed plate with inner resonance.
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  Data: <searchLink fieldCode="AR" term="%22Fossat%2C+Pascal%22">Fossat, Pascal</searchLink><relatesTo>1,2</relatesTo><i> pascal.fossat.3@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Boutin%2C+Claude%22">Boutin, Claude</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ichchou%2C+Mohamed%22">Ichchou, Mohamed</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Procedia+Engineering%22">Procedia Engineering</searchLink>. 2017, Vol. 199, p1435-1440. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+normality%22">Asymptotic normality</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Unit+cell%22">Unit cell</searchLink><br /><searchLink fieldCode="DE" term="%22Dispersion+%28Chemistry%29%22">Dispersion (Chemistry)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The dynamic behavior of a periodic ribbed plate with local resonances is investigated in this paper. The behavior of the unit cell comprises a beam clamped along a plate edge is analyzed via a multi-scale asymptotic method. This allows to derive the governing effective equations that describe the mechanical behavior of the material. This approach allows obtaining a relevant representation of the bending mechanisms at both global and local scales. A bending model is derived first from linear elasticity constitutive laws applied to the plate-beam coupled system. The resolution of the problem in frequency domain leads to dispersion relations and enables to investigate the band gaps associated with the structure. This model permits to identify suitable conditions for which inner resonances exist. Such conditions are determined by the geometrical and mechanical contrasts of the structural components. The validity and feasibility of the model are verified by comparing its theoretical predictions with numerical simulations (FEM/WFEM). This approach can be used to describe the motion of ribbed panels of industrial interest and/or design structures having specific atypical features in a given frequency range. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Procedia Engineering is the property of Elsevier B.V. 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:
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      – Type: doi
        Value: 10.1016/j.proeng.2017.09.368
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 1435
    Subjects:
      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Asymptotic normality
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
      – SubjectFull: Unit cell
        Type: general
      – SubjectFull: Dispersion (Chemistry)
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      – TitleFull: Homogenized bending model of a periodic ribbed plate with inner resonance.
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              Text: 2017
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