Electromechanical Coupling Analysis of a Hollow Piezoelectric Resonator for Energy Harvesting Applications

Abstract

Piezoelectric materials and devices play a crucial role in sustainable technologies by enhancing energy efficiency and enabling renewable energy generation. This study utilizes the Legendre polynomial method to investigate the axisymmetric free vibrations of a piezoelectric resonator subjected to alternating current excitation. The mechanical displacements and electrical potential are represented as a series of Legendre polynomials, facilitating the computation of stress profiles, Poynting vectors, and power flows. The results indicate that the fundamental mode exhibits the highest piezoelectric activity, optimizing the electromechanical coupling of the structure. These findings provide valuable insights for designing and optimizing piezoelectric resonators in energy harvesting and MEMS acoustics applications.