Abstract The aim of this study is to design a two-dimensional solid structure with embedded inertial amplification mechanisms that shows an ultrawide stop band (band gap) at low frequencies. First of all, a unique compliant inertial amplification mechanism is suggested. The compliant (flexure) hinge connections are designed and the topology of the beams in the unit cell mechanism are optimized to achieve the maximum possible stop band width. Then, a two-dimensional periodic structure is formed by using this topologically optimized inertial amplification mechanism. Thereafter, the formed periodic structure is manufactured. Experimental and finite element analyses show that an ultrawide stop band between 29 Hz and 590 Hz is obtained for both longitudinal and transverse excitations. This outcome reveals a phononic gap whose upper and lower limits have a ratio that exceeds 20 (i.e., arithmetic mean normalized bandwidth of 181 % or geometric mean normalized bandwidth of 429 %). This much bandwidth has not been achieved in the literature for two dimensions, so far.

中文翻译：

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在具有拓扑优化惯性放大机制的二维弹性超材料中实现超宽阻带

摘要 本研究的目的是设计一种具有嵌入式惯性放大机制的二维实体结构，该结构在低频下显示出超宽的阻带（带隙）。首先，提出了一种独特的柔顺惯性放大机制。设计了柔性（挠性）铰链连接，并优化了晶胞机构中梁的拓扑结构，以实现最大可能的阻带宽度。然后，利用这种拓扑优化的惯性放大机制，形成二维周期结构。此后，制造形成的周期结构。实验和有限元分析表明，纵向和横向激励都获得了 29 Hz 和 590 Hz 之间的超宽阻带。该结果揭示了一个声子间隙，其上限和下限的比率超过 20（即算术平均归一化带宽为 181% 或几何平均归一化带宽为 429%）。迄今为止，在二维文献中还没有实现如此大的带宽。