The local-resonance bandgap performance of piezoelectric metastructures could be deteriorated by the inherent resistance existing in the piezoelectric patches and the inductors of shunting circuits. In this article, we propose to use negative-resistance circuits to cancel the inherent electrical resistance and therefore enhance vibration reduction performance in the bandgap. The physical model of the piezoelectric metastructure with negative-resistance shunting circuits is firstly illustrated, followed by analyzing its wave dispersion relations and frequency response functions. The enhanced bandgap performance of the piezoelectric metastructure facilitated by negative-resistance circuits is verified with the analytical results. Last, an experimental setup of the piezoelectric metastructure is built. The experimental results demonstrate that the vibration suppression performance in the bandgap is significantly increased by using negative-resistance circuits, and a higher value of negative resistance could lead to larger vibration reduction. Overall, the results of this article provide a novel means to enhance the local-resonance bandgap performance of piezoelectric metastructures.

压电元结构的局部共振带隙性能可能会因压电贴片和分流电路的电感器中固有的电阻而变差。在本文中，我们建议使用负电阻电路来消除固有电阻，从而提高带隙的减振性能。首先说明了带有负电阻分流电路的压电元结构的物理模型，然后分析了其波色散关系和频率响应函数。分析结果证实了负电阻电路促进了压电元结构增强的带隙性能。最后，建立了压电元结构的实验装置。实验结果表明，使用负电阻电路可以显着提高带隙中的减振性能，而较高的负电阻值可导致更大的减振效果。总体而言，本文的结果提供了一种新颖的方法来增强压电元结构的局部共振带隙性能。