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Broadening band gaps of shear horizontal waves of metamaterials via graded hierarchical architectures

机译：通过分级分层体系结构扩展超材料剪切水平波的带空隙

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摘要

A new kind of graded hierarchical phononic crystal is proposed to broaden the band gaps of shear horizontal (SH) waves. The architectures are constructed with graded unit cells composed of various levels of hierarchical structures. The hierarchical coupling band gaps can be separated with the help of a multi-scale homogenization technique, and the corresponding relationship between band gaps on each hierarchy and equivalent structure with single periodicity is established. The effect of main structural parameters on the band structure of the proposed architecture is investigated by numerical simulations. Results show that the graded hierarchical phononic crystal can generate extremely broad band gaps with appropriate parameters. Two mechanisms of broadening band gaps are also revealed. On one hand, the local periodicity within the higher hierarchies enlarges band gaps by overlapping the cross-hierarchical gaps in the high frequencies. On the other hand, the graded configuration within the supercell breaks some translational symmetries and creates more band gaps in the low frequencies by opening the Dirac cone of the band structure, and the newly created band gaps are merged to the original band gaps to form a wider band gap.
机译：提出了一种新的分级校长晶体，用于拓宽剪切水平（SH）波的带隙。架构用由各种层次结构组成的分级单元电池构建。可以在多尺度均匀化技术的帮助下分离分层耦合带隙，并且建立了每个层级的带间隙与单周期性的等效结构之间的相应关系。通过数值模拟研究了主要结构参数对所提出的架构的带结构的影响。结果表明，分级分层声晶晶体可以通过适当的参数产生极其宽的带空隙。还揭示了两种扩大带隙的机制。一方面，较高层次结构内的局部周期性通过重叠高频中的交叉层次间隙来扩大带间隙。另一方面，SuperCell内的分级配置破坏了一些平移对称，通过打开带结构的Dirac锥体来在低频中创建更多的带间隙，并且新创建的带间隙被合并到原始频带间隙以形成a更广泛的带隙。

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  • 来源
    《Composite Structures》 |2021年第9期|114118.1-114118.14|共14页
  • 作者

    Mei Chaosheng; Li Li; Tang Haishan; Han Xiangzhen; Wang Xuelin; Hu Yujin;

  • 作者单位

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

    Huazhong Univ Sci & Technol Sch Mech Sci & Engn State Key Lab Digital Mfg Equipment & Technol Wuhan 430074 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Broadening band gap; Phononic crystals; Hierarchy; Gradient; Multiscale homogenization;

    机译：扩大带隙;声子晶体;层次结构;梯度;多尺度均质化;

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