Identification of Solid-State Wave Gyroscopes Resonator Mechanical Errors in the Mode of Free Run-out of Standing Waves

Abstract

To improve the accuracy of the output signals of solid-state wave integrating gyroscopes, various options for algorithms to identify mechanical errors of their resonators in the mode of occasionally switched mode of standing waves free run-out are considered. The measured physical parameters selected are: multi-frequency, Q factor and multi-potency, viscosity axes and stiffness axes of gyroscope resonators. Most algorithms are designed for methods of resonator mechanical errors production control and include the following stages: swinging a standing wave in the selected angular direction; circuit cut off of its active excitation; signal recording and analysis within two axes of measuring device; identification of mathematical model parameters for standing waves, recorded in their slowly changing amplitudes. Additionally, to search for stiffness axes, a technique with adjustable gyroscope resonator rotation axis is given. As a mathematical basis for the derivation and justification of the proposed identification algorithms, the necessary theoretical dependencies are given, explaining the processes of formation and processing the internal measuring signals in solid-state wave gyroscopes. As a practical testing of the most common identification technique, a laboratory study of one technological specimen of a quartz hemispherical gyroscope resonator was performed. To measure its free oscillations, a measuring system of the balancing stand was used, with measurement error up to 1% and a means of analog signals measurment, with an error of 0.05% when measuring a DC voltage of 10V. The experiment carried out showed the effective use of electrode excitation lines of standing wave for four angles {0°, 22.5°, 45°, 67.5°}. At the same time, the measurement time at each angular position was 60 seconds, and the sampling frequency of a separate measuring channel was 33,333 Hz. Herewith, each value of the wave variables was identified at 340 periods of resonant oscillations.