Nonlinear instabilities in a vibratory gyroscope subjected to angular speed fluctuations

Nonlinear instabilities in a single-axis vibrating MEMS gyroscope that is subjected to periodic fluctuations in input angular rates are investigated. For the purpose of characterizing the bifurcation behavior associated with the steady-state, when the angular rate input is subject to small intensity...

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Bibliographic Details
Published inNonlinear dynamics Vol. 54; no. 1-2; pp. 69 - 78
Main Authors Asokanthan, Samuel F., Wang, Tianfu
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.10.2008
Springer Nature B.V
Subjects
Angular speed
Asymptotic methods
Automotive Engineering
Bifurcations
Classical Mechanics
Control
Dynamical Systems
Engineering
Frequency response
Gyroscopic systems
Mechanical Engineering
Nonlinear systems
Original Paper
Periodic variations
Vibration
Vibratory gyroscopes
Method of averaging
Vibratory gyroscope
Bifurcation
MEMS
Parametric resonance
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Summary:Nonlinear instabilities in a single-axis vibrating MEMS gyroscope that is subjected to periodic fluctuations in input angular rates are investigated. For the purpose of characterizing the bifurcation behavior associated with the steady-state, when the angular rate input is subject to small intensity periodic fluctuations, dynamic behavior of periodically perturbed nonlinear 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 frequency response due to parametric resonances have been obtained. This behavior has been illustrated via amplitude-frequency plots.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-008-9347-1