Broadband and tunable vibration suppression via Piezoelectric-ABH meta-beam

Piezoelectric materials and acoustic black hole (ABH) effects have been individually studied for vibration suppression, yet their combined potential in metamaterial design remains largely unexplored. This study introduces a novel metamaterial beam (meta-beam) that integrates both mechanisms: a double-leaf ABH configuration for broadband vibration suppression and tunable piezoelectric shunting circuits for adaptive resonance control. To overcome the inherent computational limitations of conventional transfer matrix methods in transmittance prediction, a Riccati transfer matrix method (RTMM) is developed to significantly enhance computational stability. Theoretical predictions are rigorously validated against finite element (FE) simulations and experimental results. The proposed meta-beam achieves a 283.5 % and 34.2 % wider total band gap range compared to conventional piezoelectric and ABH meta-beam designs, respectively. A comparative analysis highlights the influence of ABH indentation thickness profiles on band gap formation, interpreted from an energy perspective. In addition, the tunability of the meta-beam is explored by adjusting the shunt circuit inductance, facilitating the merging of local resonant and Bragg scattering band gaps into a unified one. These findings demonstrate the synergistic potential of piezoelectric-ABH integration in developing high-performance metamaterials with enhanced and customizable vibration control.