A semi-analytical electromechanical model for energy harvesting of plate with acoustic black hole indentations

Abstract

Acoustic black hole (ABH) has been proved to be helpful for the energy harvesting of beam. Since thin plates are more widely used in practical engineering, it is of great significance to explore the energy harvesting with ABH effect applying to thin plate. Therefore, a piezoelectric plate with ABH indentations is designed and a standard full-wave rectifier circuit connected to the energy harvester in this paper. A semi-analytical electromechanical model is proposed for the energy harvesting system and Gaussian basis functions are used to solve the coupled electromechanical equations. The harvested power is calculated with the proposed method and the acceptable accuracy could be found through the validation against finite element simulation. Finally, a comprehensive analysis has been performed and numerical results show the system parameters (such as piezoelectric layer parameters, ABH parameters, and circuit parameters) have a significant influence on the energy harvesting.