Dynamic stability of ring-based MEMS gyroscopes subjected to harmonic perturbations in input angular rate is examined using an asymptotic approach. The governing equations that represent the transverse and tangential in-plane motion of the ring are derived via Hamilton’s principle. The equations of motion, after discretization and suitable linearization, represent a two-degree-of-freedom time-varying linear gyroscopic system. Such a system can exhibit instability behaviour characterized by exponential growth in response amplitudes. Employing the method of averaging, conditions for instability are obtained in closed-form. Instability boundaries for the ring in the excitation intensity-frequency space are then established for small excitation amplitudes. In addition, effects of damping, input angular rate variations, and the effect of imperfection due to the ring asymmetry are discussed.
- Design Engineering Division and Computers and Information in Engineering Division
Dynamic Stability of Ring-Based MEMS Gyroscopes
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Cho, J, & Asokanthan, SF. "Dynamic Stability of Ring-Based MEMS Gyroscopes." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 2081-2090. ASME. https://doi.org/10.1115/DETC2005-85321
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