Dynamics of rotating and vibrating thin hemispherical shell with mass and damping imperfections and parametrically driven by discrete electrodes

Abstract

The parametric electrode is normally used in the hemispherical resonator gyroscopes, operating in the whole angle regime, for maintaining of amplitudes of vibratory patterns. It is well known that due to variation of the gap between the resonator and parametric electrode a drift of the vibrating pattern is obtained. This drift is similar to the gyro drift stipulated by the Q-factor imperfections and substantially deteriorates the quality of the hemispherical resonator gyroscope. In the present paper we consider the methods of compensation of these drifts by means of the special control of the vibrating pattern by the sectioned parametric electrode. Compensation of the drifts is achieved through amplitudes of voltage and phase manipulations at the sectioned parametric electrodes. The side effect of this control is discussed consisting of spurious splitting of frequencies of the vibrating pattern