Forced large amplitude periodic vibrations of non-linear Mathieu resonators for microgyroscope applications - Archive ouverte HAL Access content directly
Journal Articles International Journal of Non-Linear Mechanics Year : 2011

Forced large amplitude periodic vibrations of non-linear Mathieu resonators for microgyroscope applications

Abstract

This paper describes a comprehensive non-linear multiphysics model based on the Euler-Bernoulli beam equation that remains valid up to large displacements in the case of electrostatically actuated Mathieu resonators. This purely analytical model takes into account the fringing field effects and is used to track the periodic motions of the sensing parts in resonant microgyroscopes. Several parametric analyses are presented in order to investigate the effect of the proof mass frequency on the bifurcation topology. The model shows that the optimal sensitivity is reached for resonant microgyroscopes designed with sensing frequency four times faster than the actuation one.
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Dates and versions

hal-00633153 , version 1 (18-09-2014)

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Najib Kacem, Sebastien Hentz, Sébastien Baguet, Régis Dufour. Forced large amplitude periodic vibrations of non-linear Mathieu resonators for microgyroscope applications. International Journal of Non-Linear Mechanics, 2011, 46 (10), pp.1347-1355. ⟨10.1016/j.ijnonlinmec.2011.07.008⟩. ⟨hal-00633153⟩
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