The geometrical non-linearity influence of the suspension of micromechanical gyroscope under the conditions of angular vibration

This paper is a study of the geometrical non-linearity influence of the elastic suspension in micromechanical gyroscope under the conditions of angular vibration. The spatial non-linear oscillations of the elastic suspension were considered. A quasi-linear system of equations of Mathieu-Hill, describing the motion of sensitive element on vibrating conditions close to the main parametric resonance, was obtained. In this paper an averaged equation of motion and found stationary regimes of oscillations was built. The case of losing stability of oscillations in terms of the main parametric resonance was analyzed. And the angular vibration in the resonance case leads to additional deflection of gyroscope. It is shown that for certain parameters of the system the regime of plane stationary oscillations of the sensitive element of the MMG becomes unstable. The conditions for the appearance and stability of spatial stationary oscillations in the vicinity of the main resonance are investigated depending on the parameters of the system. © 2018-2019 International Journal of Mechanical Engineering and Robotics Research.