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Low-frequency multiple topological interface modes in metamaterial beams with quasi-zero-stiffness resonators.

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Title: Low-frequency multiple topological interface modes in metamaterial beams with quasi-zero-stiffness resonators.
Authors: Ni, Anchen1,2 (AUTHOR), Shi, Zhifei1 (AUTHOR) zfshi178@bjtu.edu.cn, Antoniadis, Ioannis A.2 (AUTHOR)
Source: Mechanics of Advanced Materials & Structures. 2025, Vol. 32 Issue 11, p2596-2608. 13p.
Subjects: Band gaps, Unit cell, Transfer matrix, Dispersion relations, Degrees of freedom
Abstract: To achieve multiple low-frequency topological interface modes (TIMs) while maintaining lightweight and load-bearing capacities in metamaterial beams, we propose novel topological beams equipped with double quasi-zero-stiffness (QZS) resonators. Following the introduction of the negative stiffness (NS) mechanism, we derived the dispersion relations of the topological beams with double QZS resonators using the transfer matrix method (TMM), and performed comparative and parametric analyses of stiffness ratio on folded Dirac cones (DCs) and locally resonant band gaps (LRBGs). Thanks to the NS mechanism and the double degrees of freedom (DOFs) in the QZS resonators, we can realize double low-frequency DCs (< 500 Hz) in metamaterial beams. It is notable that adjusting the stiffness of oblique springs can tune the resonators' effective stiffness, implying that we can custom the frequency of DCs and LRBGs by adjusting the QZS resonator. By altering the distance between two QZS resonators, we obtain two topologically distinct unit cells. Transmission simulations confirm the presence of multiple low-frequency TIMs at the interface between these two domains. We also find that the effect of mass and geometric defects at various positions on TIMs is minimal. The proposed metamaterial beams could inspire innovative low-frequency vibration energy harvesters and lightweight topological devices. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics of Advanced Materials & Structures is the property of Taylor & Francis 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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  Data: To achieve multiple low-frequency topological interface modes (TIMs) while maintaining lightweight and load-bearing capacities in metamaterial beams, we propose novel topological beams equipped with double quasi-zero-stiffness (QZS) resonators. Following the introduction of the negative stiffness (NS) mechanism, we derived the dispersion relations of the topological beams with double QZS resonators using the transfer matrix method (TMM), and performed comparative and parametric analyses of stiffness ratio on folded Dirac cones (DCs) and locally resonant band gaps (LRBGs). Thanks to the NS mechanism and the double degrees of freedom (DOFs) in the QZS resonators, we can realize double low-frequency DCs (&lt; 500 Hz) in metamaterial beams. It is notable that adjusting the stiffness of oblique springs can tune the resonators&#39; effective stiffness, implying that we can custom the frequency of DCs and LRBGs by adjusting the QZS resonator. By altering the distance between two QZS resonators, we obtain two topologically distinct unit cells. Transmission simulations confirm the presence of multiple low-frequency TIMs at the interface between these two domains. We also find that the effect of mass and geometric defects at various positions on TIMs is minimal. The proposed metamaterial beams could inspire innovative low-frequency vibration energy harvesters and lightweight topological devices. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: &lt;i&gt;Copyright of Mechanics of Advanced Materials &amp; Structures is the property of Taylor &amp; Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder&#39;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.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/15376494.2024.2383317
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 2596
    Subjects:
      – SubjectFull: Band gaps
        Type: general
      – SubjectFull: Unit cell
        Type: general
      – SubjectFull: Transfer matrix
        Type: general
      – SubjectFull: Dispersion relations
        Type: general
      – SubjectFull: Degrees of freedom
        Type: general
    Titles:
      – TitleFull: Low-frequency multiple topological interface modes in metamaterial beams with quasi-zero-stiffness resonators.
        Type: main
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          Name:
            NameFull: Ni, Anchen
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            NameFull: Shi, Zhifei
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            NameFull: Antoniadis, Ioannis A.
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          Dates:
            – D: 01
              M: 06
              Text: 2025
              Type: published
              Y: 2025
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              Value: 32
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            – TitleFull: Mechanics of Advanced Materials & Structures
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