Elastic wave manipulation in piezoelectric beam meta-structure using electronic negative capacitance dual-adjacent/staggered connections

Abstract Wave propagation control in piezoelectric meta-structures has been developed in recent years, which focuses on coupling proper electric media via piezoelectric materials for elastic wave filtering properties within a low frequency range. In order to develop broadband band gaps and diversified wave propagation characteristics of mechanical meta-structures for different complex practical applications, the research proposes an innovative piezoelectric beam meta-structure using electronic negative capacitance dual-adjacent/staggered electrical connections. In the proposed meta-structures, a unit periodic cell composed of four adjacent primitive periodic cells (including four piezoelectric patches with different polarization directions) are connected to negative capacitance circuit shunts using electrical dual-adjacent/staggered patterns. Based on the Timoshenko beam theory and wave propagation theory, a theoretical modeling of the proposed meta-structure is established for evaluating wave propagation properties. Furthermore, wave attenuation performance of the proposed structure is investigated and compared with the traditional meta-structure with negative capacitance independent electronic networks in which negative capacitance shunts are independently applied to single piezoelectric patch or bimorph piezoelectric patches within a unit primitive periodic cell. Results show that the proposed innovative meta-structure utilizes less negative capacitance shunts for achieving better wave attenuation performance, and has more stable negative capacitance control system in practical applications.