Finite-Element Simulation of the Eigen Frequency Spectrum of the Cylindrical Resonator with Geometrical Imperfectness

Abstract

The solid-state wave gyroscope belongs to the class of the so-called Coriolis vibratory gyroscopes. They are industrially produced, as a rule, in two versions: precise solid-state wave gyroscopes with expensive fused quartz resonators, and devices of low accuracy with metal resonators. The use of metal for the manufacture of a solid-state wave gyroscope resonator for inertial systems of medium and low accuracy can significantly simplify the design of the device and reduce its cost, however, the low-quality factor of the metal resonator and the instability of its dissipative characteristics limit the accuracy characteristics of the solid-state wave gyroscope. The use of high-quality precision fused quartz glass resonators in such solid-state wave gyroscopes is unacceptable because of their high cost. The purpose of the work is to study the characteristics of inexpensive quartz resonators made from industrially produced fused quartz tubes, with the aim of creating a medium-accuracy solid-state wave gyroscope. Using the finite element method, the main types of geometric heterogeneities arising from the production of such resonators and their influence on their spectral characteristics are investigated. The experimental results allow us to draw conclusions about the most significant defects affecting the performance and accuracy of the solid-state wave gyroscopes