Variational computation of a vibrating lithium niobate rectangular plate

TL;DR

This paper presents a variational method to analyze the vibrational behavior of lithium niobate rectangular plates with electrodes, providing insights into mode content and frequency spectra that align well with experimental data.

Contribution

It introduces a set of trigonometric trial functions for variational analysis of electroelastic vibrations in arbitrarily cut lithium niobate plates, considering electrode effects.

Findings

Mode content depends on electrode configuration.

Computed eigenfrequencies match experimental spectra.

The method effectively predicts vibrational behavior.

Abstract

Electrically-excited electroelastic extensional vibrations of an arbitrarily cut three-dimensional piezocrystal resonator are analyzed variationally. A set of trigonometric trial functions applicable to a waveguide behavior of the resonator partly covered by metal electrodes is proposed. The dependence of the content of the vibration modes sustained by the resonator on the electrode configuration is found. The frequency spectra taken in 128-Y-rotated lithium niobate rectangular plates exhibit a good correspondence with the computed resonator eigenfrequencies.