In this study, a plate-type locally resonant metamaterial (PTLRM) is proposed to control bending vibrations and low-frequency noise of civil members. Considering the ease of design, installation, and workability, the PTLRM was fabricated using high-density and soft materials. The PTLRM design includes a resonance frequency calculation of the unit and band gap estimation of the PTLRMs-coupled structure. Three indicators were developed and experimentally analyzed to evaluate the vibration attenuation performance of the PTLRM: the response suppression in the resonance of PTLRMs, peak response suppression ratio, and distance between peaks. Experimental results of a 5-m long steel beam with PTLRMs indicated that the bending modal responses of the steel beam were suppressed at frequencies closer to the local resonance of the PTLRM. This showed reasonable agreement with the results of the estimation. The acceleration of the PTLRMs-coupled beam was reduced by up to 98.58% in the frequency response function. The time history of acceleration also decreased significantly over the entire time period. The damping of the soft material had little effect on the bandwidth of the band gap. However, it was found that a proper increase in the damping of the soft material could increase the vibration suppression performance.

中文翻译：

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用于振动控制的板型局部谐振超材料钢梁构件的设计和性能评估

在这项研究中，提出了一种板式局部谐振超材料（PTLRM）来控制土木构件的弯曲振动和低频噪声。考虑到设计、安装和可加工性的简易性，PTLRM 采用高密度和柔软的材料制造。PTLRM 设计包括单元的谐振频率计算和 PTLRM 耦合结构的带隙估计。开发并实验分析了三个指标来评估PTLRM的减振性能：PTLRM谐振中的响应抑制、峰值响应抑制比和峰值之间的距离。带 PTLRM 的 5 米长钢梁的实验结果表明，钢梁的弯曲模态响应在接近 PTLRM 局部共振的频率下受到抑制。这表明与估计结果相当一致。在频率响应函数中，PTLRM 耦合梁的加速度降低了 98.58%。在整个时间段内，加速度的时间历史也显着减少。软材料的阻尼对带隙带宽影响不大。然而，人们发现，适当增加软材料的阻尼可以提高振动抑制性​​能。