Non-linear assessment of tunable vibrating ring micro-gyroscopes design

Abstract

This paper introduces a tunable design for an electrically actuated vibrating ring micro-gyroscope. This mechanism contains eight piezoelectric micro-beams attached to the vibrating ring in each drive and sense directions. Employing a full geometric non-linear model for the vibrating ring and accounting for the micro-beam’s mid-plane stretching; the mathematical model associated with the present system is obtained. Afterward, utilizing the Hamilton principle together with the Ritz method, the reduced equations of motion are derived. The present results are validated by those available in the literature for simpler systems. A three-dimensional (3D) finite element (FE) simulation was carried out in COMSOL Multiphysics commercial software for the case of static deformation since dynamic simulation imposes great computational costs. Next, in-depth parametric studies emphasizing the effect of piezoelectric actuation are conducted. Finally, reporting guidelines for tuning the present vibrating ring micro-gyroscope, the advantages of the proposed design are addressed.