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<p>This study introduces a novel four-ligament chiral metamaterial, composed of chiral ligaments, a central oscillator, and a cushioning matrix. By employing Bloch theorem and finite element analysis, the dynamic model of the structure was solved to analyze its bandgap properties and vibration attenuation performance. The metamaterial exhibits eight distinct low-frequency bandgaps below 1600&#xa0;Hz, five of which are located below 500&#xa0;Hz, with the lowest originating at 208.08&#xa0;Hz. It is noteworthy that the peak values of transmission loss curves for the bandgaps mostly exceed 100 dB. Through analysis of the vibration modes, the critical role of the central oscillator and the pivotal tuning function of the secondary ligament in generating these low-frequency bandgaps were uncovered. Furthermore, by analyzing the iso-frequency contours and group velocity, it was demonstrated that elastic waves within this structure exhibit significant frequency-dependent anisotropy. This work provides new insights for the design of metamaterials aimed at low-frequency vibration reduction and directional wave manipulation.</p>

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Tailoring four-ligament chiral metamaterials: wave propagation mechanisms mediated by the secondary ligament

  • 期刊论文

  • 发表日期：

    2026年2月6日

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  • Liang Wang,
  • Anshuai Wang,
  • Yongtao Sun,
  • Zhaozhan Zhang,
  • Yansen Wu,
  • Hongge Han,
  • Jingxu Liu,
  • Qian Ding

摘要

This study introduces a novel four-ligament chiral metamaterial, composed of chiral ligaments, a central oscillator, and a cushioning matrix. By employing Bloch theorem and finite element analysis, the dynamic model of the structure was solved to analyze its bandgap properties and vibration attenuation performance. The metamaterial exhibits eight distinct low-frequency bandgaps below 1600 Hz, five of which are located below 500 Hz, with the lowest originating at 208.08 Hz. It is noteworthy that the peak values of transmission loss curves for the bandgaps mostly exceed 100 dB. Through analysis of the vibration modes, the critical role of the central oscillator and the pivotal tuning function of the secondary ligament in generating these low-frequency bandgaps were uncovered. Furthermore, by analyzing the iso-frequency contours and group velocity, it was demonstrated that elastic waves within this structure exhibit significant frequency-dependent anisotropy. This work provides new insights for the design of metamaterials aimed at low-frequency vibration reduction and directional wave manipulation.