An exact analysis of a rectangular plate piezoelectric generator

Area of Science:

• Solid Mechanics
• Materials Science
• Electrical Engineering

Background:

• Piezoelectric materials convert mechanical stress into electrical energy.
• Thickness-twist vibrations in piezoelectric plates are relevant for energy harvesting.
• Understanding energy conversion efficiency is crucial for device design.

Purpose of the Study:

• To analyze the thickness-twist vibration of a finite piezoelectric plate under mechanical loads.
• To derive an exact solution for the piezoelectric generator's performance.
• To provide analytical expressions for electrical output parameters.

Main Methods:

• Utilized three-dimensional equations of piezoelectricity for an exact solution.
• Modeled a piezoelectric plate with appropriate electrodes and electrical connections.
• Analyzed the conversion of mechanical energy to electrical energy.

Main Results:

• Derived analytical expressions for output voltage, current, power, efficiency, and power density.
• Presented numerical results illustrating the generator's fundamental behaviors.
• Validated the performance of the piezoelectric generator design.

Conclusions:

• The developed model accurately describes piezoelectric energy conversion through thickness-twist vibrations.
• The study provides a framework for designing efficient piezoelectric generators.
• Numerical results confirm the practical applicability of the analyzed piezoelectric structure.