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Flexural Wave Bandgap Characteristics Analysis of Periodic Double-Span Beam Based on Spectral Geometry Method: A Unified Formulation.

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Title: Flexural Wave Bandgap Characteristics Analysis of Periodic Double-Span Beam Based on Spectral Geometry Method: A Unified Formulation.
Authors: Tang, Yang1 (AUTHOR) tangy_97@hrbeu.edu.cn, Du, Yuan2 (AUTHOR) duyuan@mail.sysu.edu.cn, Li, Haichao1 (AUTHOR) lihaichao@hrbeu.edu.cn, Gao, Cong1 (AUTHOR) conggao@hrbeu.edu.cn, Pang, Fuzhen1 (AUTHOR) pangfuzhen@hrbeu.edu.cn
Source: International Journal of Structural Stability & Dynamics. 6/10/2026, Vol. 26 Issue 12, p1-22. 22p.
Subjects: Rayleigh-Ritz method, Bloch's theorem, Flexural vibrations (Mechanics), Theory of wave motion, Numerical analysis, Finite element method, Vibration isolation
Abstract: The bandgap characteristics of periodic double-span beams are analyzed using spectral geometry methods in this paper. The displacement function of the beam structure is represented in a unified form, supplemented by sine series in addition to Fourier cosine series to avoid discontinuities in displacement at the boundary positions. The introduction of artificial spring technology satisfies the strong coupling connection conditions between beams. Combining it with Bloch's theorem allows the separation of boundary conditions and displacement functions, ensuring the convergence and accuracy of the method. The energy functional of the double-span beam under periodic boundary conditions is established. The bandgap characteristics of the double-span beam can be obtained using the Rayleigh–Ritz method. The bandgap characteristics calculated based on the proposed method are in good agreement with those obtained from the transfer matrix method, and the bandgap frequency range matches well with the vibration attenuation range obtained from the test results. The effectiveness of forced vibration analysis for finite periodic double-span beams is also validated through the finite element method. Additionally, the influence of material properties, geometric parameters and lattice constants on the bandgap characteristics of periodic double-span beams is presented, providing insights into the mechanisms for tuning bandgap characteristics. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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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DbLabel: Engineering Source
An: 192765984
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  Label: Title
  Group: Ti
  Data: Flexural Wave Bandgap Characteristics Analysis of Periodic Double-Span Beam Based on Spectral Geometry Method: A Unified Formulation.
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  Data: <searchLink fieldCode="AR" term="%22Tang%2C+Yang%22">Tang, Yang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tangy_97@hrbeu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Du%2C+Yuan%22">Du, Yuan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> duyuan@mail.sysu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Haichao%22">Li, Haichao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lihaichao@hrbeu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Gao%2C+Cong%22">Gao, Cong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> conggao@hrbeu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Pang%2C+Fuzhen%22">Pang, Fuzhen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> pangfuzhen@hrbeu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 6/10/2026, Vol. 26 Issue 12, p1-22. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Bloch's+theorem%22">Bloch's theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Flexural+vibrations+%28Mechanics%29%22">Flexural vibrations (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+isolation%22">Vibration isolation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The bandgap characteristics of periodic double-span beams are analyzed using spectral geometry methods in this paper. The displacement function of the beam structure is represented in a unified form, supplemented by sine series in addition to Fourier cosine series to avoid discontinuities in displacement at the boundary positions. The introduction of artificial spring technology satisfies the strong coupling connection conditions between beams. Combining it with Bloch's theorem allows the separation of boundary conditions and displacement functions, ensuring the convergence and accuracy of the method. The energy functional of the double-span beam under periodic boundary conditions is established. The bandgap characteristics of the double-span beam can be obtained using the Rayleigh–Ritz method. The bandgap characteristics calculated based on the proposed method are in good agreement with those obtained from the transfer matrix method, and the bandgap frequency range matches well with the vibration attenuation range obtained from the test results. The effectiveness of forced vibration analysis for finite periodic double-span beams is also validated through the finite element method. Additionally, the influence of material properties, geometric parameters and lattice constants on the bandgap characteristics of periodic double-span beams is presented, providing insights into the mechanisms for tuning bandgap characteristics. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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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        Value: 10.1142/S0219455426500872
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      – Code: eng
        Text: English
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        PageCount: 22
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      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Bloch's theorem
        Type: general
      – SubjectFull: Flexural vibrations (Mechanics)
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Vibration isolation
        Type: general
    Titles:
      – TitleFull: Flexural Wave Bandgap Characteristics Analysis of Periodic Double-Span Beam Based on Spectral Geometry Method: A Unified Formulation.
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            NameFull: Tang, Yang
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            NameFull: Du, Yuan
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            NameFull: Li, Haichao
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            NameFull: Gao, Cong
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              Text: 6/10/2026
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              Y: 2026
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            – TitleFull: International Journal of Structural Stability & Dynamics
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