Control of Vibrations in a Micromechanical Gyroscope Using Inertia Properties of Standing Elastic Waves

Abstract

The characteristics of the dynamics and control of oscillations in a micromechanical ring resonator gyro that uses inertia properties of elastic waves are considered. A functional diagram of the gyroscope with a ring resonator is presented. Further, the scheme has a loop oscillation excitation and a measurement channel. This model is studied under the excitation of the resonator, which automatically provides maximum vibration amplitude with minimum control. It is shown that the using the schemes of stabilization of of the excited amplitude or normalisation secondary oscillations significantly reduces the non-linear characteristics of the transformation. To achieve the desired dynamic characteristics of the gyroscope, it is proposed to use feedback in the measuring channel by the velocity of radial displacement of the ring resonator in the output zone. The technique allows the calculation of the envelope of the fundamental mode oscillation from appropriate differential equations. That is a convenient tool for a comparative investigation of the gyro's characteristics while studying the direct measurement type and the compensation type.