Instabilities in a vibrating MEMS gyroscope that is subject to periodic fluctuations in input angular rates are investigated. For the purpose of acquiring stability conditions, when the angular rate input is subject to small intensity periodic fluctuations, dynamic behavior of periodically perturbed linear gyroscopic systems is studied in detail. An asymptotic approach based on the method of averaging has been employed for this purpose, and closed-form conditions for the onset of instability due to parametric resonances have been obtained. A numerical approach based on the Floquet-Lyapunov theory is employed for validating the analytical stability predictions. Furthermore, for characterizing the effect due to change in angular rate input, an in-depth natural frequency analysis has been performed. Stability predictions have been illustrated via stability diagrams in the excitation amplitude-frequency space.
- Design Engineering Division and Computers and Information in Engineering Division
Dynamic Stability of a Single-Axis Vibratory MEMS Gyroscope
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Wang, T, & Asokanthan, SF. "Dynamic Stability of a Single-Axis Vibratory MEMS Gyroscope." 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. 479-487. ASME. https://doi.org/10.1115/DETC2005-85090
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