日時: |
2006年09月04日(月)13:30〜14:30 |
場所: |
京都大学 11号館2F 第2講義室 |
講演者: |
Prof. Samuel F. Asokanthan (Department of Mechanical and Materials Engineering, The University of Western Ontario, Canada) |
講演題目: |
Non-linear Instabilities in MEMS-based Vibratory Angular Rate Sensors |
講演要旨: |
Non-linear instabilities of a class of vibratory angular rate sensors that are subject to periodic fluctuations in input angular rates are investigated. Two typical configurations are considered in the present study: a ring-type and a sping-mass type. For the purpose of acquiring stability conditions, when the angular rate input is subject to small intensity periodic fluctuations, dynamic stability behavior of periodically perturbed linear and non-linear gyroscopic systems are 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 for these two types of vibrating gyroscopes. Stability predictions have been illustrated via plots in the excitation amplitude-frequency space. Damping is considered and in general it has been demonstrated that the introduction of damping tends to stabilize the sensor systems. The effect of mass mismatch on the stability region has been presented for the ring-type angular rate sensor. In addition, the bifurcation behavior associated with the steady-state, has been illustrated via the frequency response plots. It is envisaged that the in-depth instability analysis presented in this work will lead to much needed performance improvements for this class of devices. |
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