SYSTEMATIC DISC RESONATOR GYROSCOPE TUNING
First Claim
1. A method of tuning an axisymmetric resonator, comprising:
- determining transfer functions between drive electrode voltages and sense electrode voltages of the axisymmetric resonator including Coriolis coupled vibration modes of the axisymmetric resonator;
determining fourth order asymmetry correction components using the transfer functions of the axisymmetric resonator;
determining an asymmetry component change sensitivity to changes of one or more bias voltages based on a systematic physical model of the axisymmetric resonator; and
determining values of the one or more bias voltages to tune the Coriolis coupled vibration modes of the axisymmetric resonator to degeneracy from the fourth order asymmetry correction components and the asymmetry component change sensitivity to the changes of the one or more bias voltages.
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Abstract
Tuning an axisymmetric resonator such as in a disc resonator gyroscope (DRG) is disclosed. Frequency tuning a DRG in a single step informed by a systematic physical model of the resonator structure, sensing and actuation elements, such as a finite element model, is provided. The sensitivity of selected trimming positions on the resonator to reducing asymmetry terms is determined via perturbations of the systematic model. As well, the dependence of the parameters of model transfer functions between actuation and sensing elements on resonator asymmetry are systematically determined. One or two measured transfer functions may then be analyzed according to the systematic model to fully determine the needed asymmetry correction components of the DRG. One or two of four groups of four electrostatic bias electrodes or four groups of four laser trimming locations for the DRG are utilized to correct the asymmetry components which can give rise to mistuning.
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Citations
22 Claims
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1. A method of tuning an axisymmetric resonator, comprising:
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determining transfer functions between drive electrode voltages and sense electrode voltages of the axisymmetric resonator including Coriolis coupled vibration modes of the axisymmetric resonator; determining fourth order asymmetry correction components using the transfer functions of the axisymmetric resonator; determining an asymmetry component change sensitivity to changes of one or more bias voltages based on a systematic physical model of the axisymmetric resonator; and determining values of the one or more bias voltages to tune the Coriolis coupled vibration modes of the axisymmetric resonator to degeneracy from the fourth order asymmetry correction components and the asymmetry component change sensitivity to the changes of the one or more bias voltages. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A method of tuning an axisymmetric resonator, comprising:
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determining transfer functions between drive electrode voltages and sense electrode voltages of the axisymmetric resonator including Coriolis coupled vibration modes of the axisymmetric resonator; determining fourth order asymmetry correction components using the transfer functions of the axisymmetric resonator; determining an asymmetry component change sensitivity to mass changes at one or more locations of the axisymmetric resonator based on a systematic physical model of the axisymmetric resonator; and determining amounts of the mass changes at the one or more locations of the axisymmetric resonator to tune the Coriolis coupled vibration modes of the axisymmetric resonator to degeneracy from the fourth order asymmetry correction components and the asymmetry component change sensitivity to the mass changes at the one or more locations of the axisymmetric resonator. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17, 18)
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19. A method of tuning an axisymmetric resonator, comprising:
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measuring transfer functions between drive electrode voltages and sense electrode voltages of the axisymmetric resonator with a dynamic signal analyzer including Coriolis coupled vibration modes of the axisymmetric resonator; determining fourth order asymmetry correction components from the measured transfer functions of the axisymmetric resonator; determining an asymmetry component change sensitivity to changes of one or more tuning parameters of the axisymmetric resonator based on a systematic physical model of the axisymmetric resonator; and determining settings of the one or more tuning parameters to tune the Coriolis coupled vibration modes of the axisymmetric resonator to degeneracy from the fourth order asymmetry correction components and the asymmetry component change sensitivity to the changes of the one or more bias voltages. - View Dependent Claims (20, 21, 22)
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Specification