Scale Factor of the Solid-State Wave Gyroscope Operating in the Mode of a Compensation-Type Angular Rate Sensor

The paper considers the dynamics of the solid-state wave gyroscope (SWG) operating in the mode of a compensation-type angular rate sensor (ARS). The mathematical model of the resonator forced oscillations is applied. The Krylov–Bogolyubov averaging method is used to study the SWG dynamics in slow variables measured by the gyroscope electronic circuit. A formula is derived to determine the scale factor of an imperfect gyroscope resonator in the operation mode under discussion. It is shown that in this case, the value of the measured angular rate and the scale factor of the gyroscope depend on the feedback coefficient, the range of measured angular rates, anisotropy of the resonator’s elastic and damping properties, and other parameters. Numerical simulation of the information readout process in the SWG operating mode has been carried out. Formulas for the scale factor relative errors caused by changes in the gyroscope parameters are obtained. Numerical examples are given.