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<p>Seismic metamaterials, as artificially engineered periodic materials, can effectively attenuate destructive Rayleigh waves and enhance structural safety. Achieving broadband low-frequency properties in seismic metamaterials has been a persistent challenge for their practical engineering applications. In this study, a new configuration of combined seismic metamaterial is proposed, incorporating concrete columns with a composite material structure, which significantly improves bandgap characteristics over existing designs. Furthermore, SHapley Additive Explanations (SHAP) was employed to quantify the relative influence of the geometric parameters on the bandgap characteristics. Guided by the SHAP results, a multi-objective intelligent optimization framework combining the Q-learning algorithm with a Kriging surrogate model is developed in this study, which effectively improves the bandgap characteristics of the proposed metamaterial. Following the optimization, the first bandgap of the metamaterial exhibits a 56.56% increase in width and a 40.21% reduction in its lower edge frequency. Transmission spectrum calculations and displacement analyses across various excitation frequencies confirm the isolation characteristics of the optimized metamaterial. In addition, analysis results of the optimized seismic metamaterial under real earthquake excitations reveal its effective attenuation of seismic wave energy.</p>

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A Combined Seismic Metamaterial for Low-Frequency Rayleigh Wave Attenuation: Intelligent Optimization and Performance Analysis

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Yu Ding,
  • Hanshu Chen,
  • Tianxue Ma,
  • Leilei Cao,
  • Tao Zhang,
  • Zhuojia Fu

摘要

Seismic metamaterials, as artificially engineered periodic materials, can effectively attenuate destructive Rayleigh waves and enhance structural safety. Achieving broadband low-frequency properties in seismic metamaterials has been a persistent challenge for their practical engineering applications. In this study, a new configuration of combined seismic metamaterial is proposed, incorporating concrete columns with a composite material structure, which significantly improves bandgap characteristics over existing designs. Furthermore, SHapley Additive Explanations (SHAP) was employed to quantify the relative influence of the geometric parameters on the bandgap characteristics. Guided by the SHAP results, a multi-objective intelligent optimization framework combining the Q-learning algorithm with a Kriging surrogate model is developed in this study, which effectively improves the bandgap characteristics of the proposed metamaterial. Following the optimization, the first bandgap of the metamaterial exhibits a 56.56% increase in width and a 40.21% reduction in its lower edge frequency. Transmission spectrum calculations and displacement analyses across various excitation frequencies confirm the isolation characteristics of the optimized metamaterial. In addition, analysis results of the optimized seismic metamaterial under real earthquake excitations reveal its effective attenuation of seismic wave energy.