EFFECT OF VIBRATIONS ON THE DYNAMICS OF THE RING RESONATOR MICROMECHANICAL GYROSCOPE

Abstract

This article examines the dynamics of a micromechanical gyroscope with a ring resonator, used in navigation and motion control systems. The gyroscope’s sensitive element consists of a thin elastic ring resonator supported by an elastic suspension, detecting small bending vibrations to measure angular motion. The study investigates the impact of external vibrations on the resonator’s mechanical design. A mathematical model is developed using the Hamilton-Ostrogradsky variational principle and the Bubnov-Galerkin projection method to analyze the system’s multimodal oscillations. Results show that vibrations mainly affect the first vibrational mode, with maximum deformation of the resonator is proportional to the magnitude of the peak impact acceleration and inversely proportional to the square of the lowest natural frequency in the first natural mode of oscillation. The second vibrational mode remains unaffected under normal conditions. Additionally, manufacturing errors can cause symmetry violations, impacting measurement accuracy. This study provides insights into improving ring resonator micromechanical gyroscope design for enhanced reliability under dynamic external vibrations.