Topological metamaterial has become a research hotspot recently, owing to the unique features, including wave localization and topological protection. In this paper, we are motivated to introduce the topological metamaterial into vibration energy harvesting. The proposed topological metamaterial vibration energy harvester (topological meta-VEH) consists of two topologically different sub-metamaterials and a piezoelectric transducer mounted at the conjunction of these two sub-metamaterials. First, the governing equations of this electromechanical system are derived. Then, the band structure and dispersion relation of this topological meta-VEH is obtained by applying the Bloch theory. To obtain the transmittance response, the finitely long model of the proposed topological meta-VEH is formulated, the corresponding analytical solutions are obtained as well. From the theoretical analysis, it is found that the topological interface mode takes place at the first Brag band gap and it has the capability of concentrating elastic wave energy at the interface so that the piezoelectric transducer at the conjunction can generate large output power. Analytical results indicate that the topological meta-VEH is a novel and outstanding method to achieve high-efficiency energy harvesting.
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