Nonlinear operation of resonant sensors based on weakly-coupled resonators. Part 1-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 : Thursday, February 7, 2019 - 10:27:04 AM
Last modification on : Thursday, June 6, 2019 - 1:37:43 AM
Long-term archiving on : Wednesday, May 8, 2019 - 12:46:31 PM

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  • HAL Id : hal-01992473, version 1

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Jérôme Juillard, Ali Mostafa, Pietro Maris Ferreira. Nonlinear operation of resonant sensors based on weakly-coupled resonators. Part 1-Theory and modeling. 2019. ⟨hal-01992473v1⟩

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