Analysis on coupled vibration of piezoelectric ceramic stack with two piezoelectric ceramic elements.

Area of Science:

• Materials Science
• Mechanical Engineering
• Acoustics

Background:

• Piezoelectric ceramic stacks are essential components in sandwich piezoelectric transducers.
• Traditional one-dimensional analysis is insufficient for stacks with comparable longitudinal and radial dimensions.

Purpose of the Study:

• To analyze the three-dimensional coupled vibration of piezoelectric ceramic stacks.
• To develop a theoretical model for predicting resonance frequencies based on geometric parameters.

Main Methods:

• Utilized the equivalent elastic method, an approximate analytical approach.
• Modeled coupled vibration as interconnected radial and longitudinal modes via a mechanical coupling coefficient.
• Derived electromechanical equivalent circuits and resonance frequency equations.

Main Results:

• Established a method to analyze 3D coupled vibrations in piezoelectric stacks.
• Demonstrated that height and radius significantly impact longitudinal and radial resonance frequencies, respectively.
• Achieved strong agreement between theoretical, simulated (COMSOL), and experimental results.

Conclusions:

• The equivalent elastic method provides an accurate approximation for analyzing piezoelectric ceramic stack vibrations.
• Geometric dimensions are critical factors determining the vibrational characteristics and resonance frequencies.
• Experimental validation confirms the reliability of the developed theoretical model.