Academic Journal

Bandgap characteristic of stepped functionally graded beams: Analysis and optimization research.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Bandgap characteristic of stepped functionally graded beams: Analysis and optimization research.
Συγγραφείς: Tang, Yang, Qin, Yuxuan, Zhao, Zhe, Li, Haichao, Gao, Cong, Pang, Fuzhen
Πηγή: Journal of Vibration & Control; Sep2026, Vol. 32 Issue 17/18, p5277-5294, 18p
Θεματικοί όροι: Functionally gradient materials, Optimization algorithms, Fourier series, Simplex algorithm, Theory of wave motion, Springs (Mechanisms), Box beams, Variational approach (Mathematics)
Περίληψη: The bandgap characteristics of periodically arranged functionally graded stepped beams are studied based on the energy variational principle in this study. The displacement field of the beam is uniformly described using an improved Fourier series. The coupling between beam segments is achieved through artificial spring technology, which simultaneously decouples the periodic boundary conditions and the shape functions. An energy method with good convergence and accuracy has been established to solve the bandgap characteristics of the beam. Through parameter research, the influence of geometric dimensions and material properties on bandgap was analyzed. The key innovation lies in introducing the simplex method to improve the beetle optimizer, optimizing the structural parameters for the first bandgap bandwidth, effectively enhancing the local search capability of the optimizer. The first bandgap bandwidth of the optimized structure has significantly increased, which has been verified through forced vibration analysis of a 10-period beam. The bandgap characteristic exhibits good stability under different boundary conditions. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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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  Label: Title
  Group: Ti
  Data: Bandgap characteristic of stepped functionally graded beams: Analysis and optimization research.
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  Data: <searchLink fieldCode="AR" term="%22Tang%2C+Yang%22">Tang, Yang</searchLink><br /><searchLink fieldCode="AR" term="%22Qin%2C+Yuxuan%22">Qin, Yuxuan</searchLink><br /><searchLink fieldCode="AR" term="%22Zhao%2C+Zhe%22">Zhao, Zhe</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Haichao%22">Li, Haichao</searchLink><br /><searchLink fieldCode="AR" term="%22Gao%2C+Cong%22">Gao, Cong</searchLink><br /><searchLink fieldCode="AR" term="%22Pang%2C+Fuzhen%22">Pang, Fuzhen</searchLink>
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  Label: Source
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  Data: Journal of Vibration & Control; Sep2026, Vol. 32 Issue 17/18, p5277-5294, 18p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink><br /><searchLink fieldCode="DE" term="%22Simplex+algorithm%22">Simplex algorithm</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Springs+%28Mechanisms%29%22">Springs (Mechanisms)</searchLink><br /><searchLink fieldCode="DE" term="%22Box+beams%22">Box beams</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The bandgap characteristics of periodically arranged functionally graded stepped beams are studied based on the energy variational principle in this study. The displacement field of the beam is uniformly described using an improved Fourier series. The coupling between beam segments is achieved through artificial spring technology, which simultaneously decouples the periodic boundary conditions and the shape functions. An energy method with good convergence and accuracy has been established to solve the bandgap characteristics of the beam. Through parameter research, the influence of geometric dimensions and material properties on bandgap was analyzed. The key innovation lies in introducing the simplex method to improve the beetle optimizer, optimizing the structural parameters for the first bandgap bandwidth, effectively enhancing the local search capability of the optimizer. The first bandgap bandwidth of the optimized structure has significantly increased, which has been verified through forced vibration analysis of a 10-period beam. The bandgap characteristic exhibits good stability under different boundary conditions. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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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    Identifiers:
      – Type: doi
        Value: 10.1177/10775463251372309
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 5277
    Subjects:
      – SubjectFull: Functionally gradient materials
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Fourier series
        Type: general
      – SubjectFull: Simplex algorithm
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Springs (Mechanisms)
        Type: general
      – SubjectFull: Box beams
        Type: general
      – SubjectFull: Variational approach (Mathematics)
        Type: general
    Titles:
      – TitleFull: Bandgap characteristic of stepped functionally graded beams: Analysis and optimization research.
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            NameFull: Tang, Yang
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            NameFull: Qin, Yuxuan
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            NameFull: Zhao, Zhe
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            NameFull: Li, Haichao
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            NameFull: Gao, Cong
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          Dates:
            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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              Value: 32
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              Value: 17/18
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            – TitleFull: Journal of Vibration & Control
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