DYNAMICS OF A RING MICROMECHANICAL GYROSCOPE IN A MODE OF THE FORCED OSCILLATIONS

摘要

This report describes the nonlinear effects of a MicroMechanical Gyroscope with ring resonator supported by a torsion system and controlled by electrostatic actuator. The equations of motion of the inextensible ring resonator are derived to account nonlinear properties of resonator material. Asymptotic model for slow variables describing compelled oscillations is constructed according to schemes of the Krylov-Bogolyubov averaging method. It is shown that nonlinear elastic properties of a resonator material led to additional gyroscope errors, unstable branches of resonance curves, quenching.