Mathematical model of a gyroscope with a hemispherical quartz resonator

The motion of the sensitive element of a solid-state wave gyroscope with a hemispherical quartz resonator was simulated. Mathematical models of the main structural components of the gyroscope were compiled: a capacitive registration system, an electrostatic perturbation system, a system for supporting resonator oscillations and a system for measuring the angular position of the wave, and a system for compensating the quadrature component of oscillations. A mathematical model of an electrostatic system with significant nonlinearity is proposed to maintain free oscillations of the resonator. Calculations confirm the possibility of constructing a solid-state wave gyroscope with a hemispherical resonator and an electrostatic perturbation system in the angle sensor mode.