Abstract Metamaterials with piezoelectric shuntings have convenient tunability. The increase in the resistance value in the shunting circuit can broaden the bandgap width but lower the vibration attenuation ability. In this study, a piezoelectric unit cell with a lateral electric field (LEF) is applied to a metamaterial beam to improve the resistance-tuning characteristics. The effective stiffness and bandgaps were calculated by using a theoretical method and verified by three-dimensional numerical simulations. Compared with resonators with a thickness electric field, LEF resonators have a stronger piezoelectric coupling, and the extra transferred energy of LEF resonators is reflected in the greater vibration attenuation depth when the increasing degrees of the bandgap widths of the two cases are similar. Therefore, the LEF metamaterial beam exhibits better resistance-tuning characteristics; namely, it can maintain better vibration attenuation properties when the bandgap width is broadened by increasing the resistance value.

中文翻译：

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具有横向电场压电分流器的超材料梁的调谐特性

摘要 压电分流超材料具有方便的可调性。分流电路中电阻值的增加可以加宽带隙宽度但降低振动衰减能力。在这项研究中，具有横向电场 (LEF) 的压电单元被应用于超材料梁，以改善电阻调谐特性。采用理论方法计算有效刚度和带隙，并通过三维数值模拟进行验证。与具有厚度电场的谐振器相比，LEF谐振器具有更强的压电耦合，当两种情况的带隙宽度增加程度相似时，LEF谐振器的额外传递的能量体现在更大的振动衰减深度上。所以，LEF超材料光束表现出更好的电阻调谐特性；即，当通过增加电阻值来加宽带隙宽度时，它可以保持更好的振动衰减特性。