Much effort has been devoted to exploring broad bandgap in low frequency with limited mass by various structural designs of elastic metamaterials (EMs). In this paper, a heterogeneous resonator configuration in 1-D dissipative lattice mass system without additional increase of mass and coupling complexity is presented to generate multiple bandgaps. Special attention is focused on the effect of parameters control to merge the multiple bandgaps, and the analytical expression of parameters setting is obtained for broad bandgap merging. Specifically, the merging of all bandgaps in EMs with two heterogeneous resonators achieves 30% lower and 135% wider bandgap than that of classical local resonance (LR) EMs with the same mass ratio and stiffness ratio, while the merging of three LR bandgaps in EMs with three heterogeneous resonators is 20% lower and 63% wider. The relative movements of masses in the unit cell at different frequencies are depicted to reveal the working mechanism. The ...

中文翻译：

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带异质谐振器的弹性超材料的带隙合并和扩宽

通过弹性超材料（EM）的各种结构设计，人们已经做出了很多努力来探索低频，有限质量的宽带隙。在本文中，提出了一种一维耗散晶格质量系统中的异质谐振器配置，而没有额外增加质量和耦合复杂度，以生成多个带隙。特别关注的是参数控制合并多个带隙的效果，并获得了宽带隙合并的参数设置的解析表达式。具体而言，与具有相同质量比和刚度比的经典局部共振（LR）EM相比，将具有两个异质谐振器的EM中的所有带隙合并起来，可实现低30％的带宽和135％的较宽带宽，而具有三个异构谐振器的EM中三个LR带隙的合并降低了20％，合并了63％。描绘了质点在不同频率下的相对运动，以揭示工作机理。的...