The low frequency of seismic waves severely limits the regulation of wave propagation in earthquake protection engineering applications. In recent years, locally resonant metamaterials have been introduced for seismic wave attenuation. A barrier based on locally resonant metamaterials consisting of rows of wells is proposed to reduce the transmission of Rayleigh waves during propagation, achieving earthquake protection. First, comparisons are made between the wells of the metamaterial, empty wells, solid steel wells, and a continuous steel wall. It is evident that locally resonant metamaterials exhibit better performance than that of the other materials. Simulations of the relationships between the attenuation of Rayleigh waves and the depth, number of rows, and working frequency of the wells are presented. With a barrier of ten rows of wells, where the diameter of each well is less than one-twentieth of the wavelength of the Rayleigh wave and the depth of the wells is nearly four-fifths of the wavelength, the maximum attenuation reaches up to 16.2 dB when all the wells share the same working frequency, and the bandwidth is broader, but the maximum value is less when the rows have different working frequencies. Depending on the demand for a higher value or a broader bandwidth of the Rayleigh wave attenuation, this barrier promotes flexible and achievable improvements by adding rows or decentralizing the working frequencies of the wells. The vast potential of seismic wave attenuation from locally resonant metamaterials is anticipated in the future.

中文翻译：

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局部共振超材料的地下屏障，可减弱固体中的表面弹性波

地震波的低频严重限制了地震波在防震工程应用中的传播规律。近年来，已经引入了局部共振超材料来衰减地震波。提出了一种基于由井行构成的局部共振超材料的屏障，以减少传播期间的瑞利波传播，从而实现地震防护。首先，在超材料的井，空井，实心钢井和连续钢壁之间进行比较。显然，局部共振超材料表现出比其他材料更好的性能。模拟了瑞利波的衰减与井的深度，行数和工作频率之间的关系。有十排井的屏障，如果每个孔的直径小于瑞利波波长的二十分之一，并且孔的深度几乎是波长的五分之四，则当所有孔共享相同的工作时，最大衰减达到16.2 dB频率，带宽较宽，但是当行的工作频率不同时，最大值较小。根据对更高数值或更宽的瑞利波衰减带宽的需求，该屏障可通过增加行数或分散井的工作频率来促进灵活且可实现的改进。预计将来会出现局部共振超材料衰减地震波的巨大潜力。