Analytical Modeling of k33 Mode Partial Electrode Configuration for Loss Characterization

TL;DR

This paper develops an analytical model for a partial electrode configuration in k33 mode to accurately determine losses in piezoelectric materials, offering a validated alternative to finite element analysis.

Contribution

It introduces an analytical derivation and parameter determination method for partial electrode k33 mode, improving accuracy over existing models.

Findings

Analytical solutions differ by 0.1% in resonance frequencies from finite element results.

Mechanical quality factors differ by 2% from finite element analysis.

The model fits experimental data well, confirming its validity.

Abstract

Accurate determination of three types of losses (dielectric, elastic and piezoelectric) in piezoelectric materials is critical, since they are closely related to the performance of high-power piezoelectric devices. The Standard k33 mode has a number of serious deficits that hinders researchers from determining accurate physical parameters and losses. In order to overcome such deficits, partial electrode has been devised and proposed. This study provides analytical derivation process and proposes parameter determination method by utilizing analytical solutions. Compared to finite element analysis, analytical solutions show 0.1 % difference in resonance frequencies and 2 % difference in mechanical quality factors, proving them as valid modeling. The analytical solutions are fitted to experimental data to determine physical parameters and losses. The k33 (electromechanical coupling factor) values were calculated with determined values from curve fitting in two different ways and show good agreement to each other.