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Single-axis vibratory gyroscopes

Abstract

The paper deals with the principles of single-axis vibratory gyroscope operation. A mathematical model for a single-mass vibratory gyroscope and some modes of its operations are considered and relations between measured values (angle of rotation or angular rate) and sensitive mass generalized coordinates are described. Some details for the forced oscillations mode used in measuring of the angular rate and for two modes of natural oscillations used in measuring of the rotational angle and angular rate are described. A new method for identification of anisoelasticity in a single-axis vibratory gyroscope is suggested.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 8, pp. 149–163, 2005.

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Bugrov, D.I. Single-axis vibratory gyroscopes. J Math Sci 147, 6651–6661 (2007). https://doi.org/10.1007/s10958-007-0502-x

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Keywords

  • Angular Rate
  • Forced Oscillation
  • Natural Oscillation
  • Proof Mass
  • Inertial Coordinate System