Resonance properties of a piezoelectric gyroscopic sensor based on bulk acoustic shear waves
DOI:
https://doi.org/10.17721/1812-5409.2026/1.21Keywords:
shear waves, piezoelectric effect, resonance, Coriolis forces, wave gyroscopesAbstract
The article develops a mathematical model of a piezoelectric gyroscopic sensor based on bulk acoustic shear waves propagating through the thickness of a layer with piezoelectric anisotropy perpendicular to the electrical load. The layer rotates around an axis perpendicular to its lateral faces, and the excited shear waves have the properties of Coriolis dispersion. The obtained conjugate equations of motion are one-dimensional through the layer thickness only in the case of the absence of mechanical forces at the boundaries and homogeneous conditions of the electrical load.
An analytical solution to the problem is constructed, and exact formulas for the distributions of stresses and displacements through the layer thickness in traveling shear waves with elliptical polarization of coupled components in the median plane are obtained. In accordance with the exact solution for the thickness component of the electric displacement field, an expression for the conduction current function in the external circuit was obtained, and the amplitude-frequency characteristic of the gyroscopic sensor was constructed on the primary (excited) and secondary (sensor) modes. It was determined that on the first main resonance of the layer, the efficiency of the excited mode is about 24 percent, and the efficiency of the sensor mode is about 1.8 percent at a value of the normalized angular velocity of the order of 0.01.
Pages of the article in the issue: 161 - 164
Language of the article: English
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Copyright (c) 2026 Іgor Ulitko, Oleksandr Boryseiko, Iryna Lebedyeva, Oleksandr Kurylko
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