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Nonlinear operation of resonant sensors based on weakly-coupled resonators :Theory and modeling

Abstract : This theroretical work investigates the properties of nonlinearly-operated weakly-coupled resonators (WCRs) for resonant sensing applications. We propose an analysis framework for actively-coupled (MILOs) or passively-coupled (MOLOs) self-oscillating WCRs, subject to nonlinear restoring and damping forces. Under some simplifying assumptions, three sensor architectures are investigated and compared, highlighting several common features such as : (i) the insensitivity of the amplitude ratio output metric to the A-f effect, (ii) the instability of one oscillation state above a threshold amplitude. These results are illustrated and validated using transient simulations. Their range of validity is then discussed with respect to finite perturbations, finite bandwidth, measurement noise and nonlinear dissipation-fluctuation. Part 2 of this paper proposes an experimental validation of our analysis.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01992473
Contributor : Jérôme Juillard <>
Submitted on : Wednesday, May 22, 2019 - 3:19:15 PM
Last modification on : Wednesday, October 14, 2020 - 3:48:26 AM

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  • HAL Id : hal-01992473, version 2

Citation

Jérôme Juillard, Ali Mostafa, Pietro Maris Ferreira. Nonlinear operation of resonant sensors based on weakly-coupled resonators :Theory and modeling. 2019. ⟨hal-01992473v2⟩

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