Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center

Abstract

The study of free motion of the rotor-type micromechanical gyro sensing element as a round orthotropic plate clamped at its center was based on the Timoshenko-Mindlin plate theory. Fixation of the rotor at its center was modeled as the clamped edge of a small-radius inner hole of the plate. The mathematical model of the sensing element motion was designed in accordance with the assumptions made in the paper. The obtained uncoupled differential equations for determining the natural frequencies and mode shapes of the sensing element are based on the designed mathematical model.

Original language	English
Title of host publication	2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings
Editors	Vladimir G. Peshekhonov
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9785919950486
DOIs	https://doi.org/10.23919/ICINS.2017.7995652
Publication status	Published - 28 Jul 2017
Externally published	Yes
Event	24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Saint Petersburg, Russian Federation Duration: 29 May 2017 → 31 May 2017

Conference

Conference	24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017
Country	Russian Federation
City	Saint Petersburg
Period	29.5.17 → 31.5.17

Keywords

mathematical model
natural frequency
rotor-type MEMS gyro
round orthotropic plate
Timoshenko-Mindlin plate theory

ASJC Scopus subject areas

Aerospace Engineering
Control and Systems Engineering

Access to Document

10.23919/ICINS.2017.7995652

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Barulina, M. A., Pankratov, V. M., & Krysko, A. V. (2017). Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center. In V. G. Peshekhonov (Ed.), 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings [7995652] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ICINS.2017.7995652

Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center. / Barulina, M. A.; Pankratov, V. M.; Krysko, A. V.

2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings. ed. / Vladimir G. Peshekhonov. Institute of Electrical and Electronics Engineers Inc., 2017. 7995652.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Barulina, MA, Pankratov, VM & Krysko, AV 2017, Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center. in VG Peshekhonov (ed.), 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings., 7995652, Institute of Electrical and Electronics Engineers Inc., 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017, Saint Petersburg, Russian Federation, 29.5.17. https://doi.org/10.23919/ICINS.2017.7995652

Barulina MA, Pankratov VM, Krysko AV. Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center. In Peshekhonov VG, editor, 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7995652 https://doi.org/10.23919/ICINS.2017.7995652

Barulina, M. A. ; Pankratov, V. M. ; Krysko, A. V. / Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center. 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings. editor / Vladimir G. Peshekhonov. Institute of Electrical and Electronics Engineers Inc., 2017.

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abstract = "The study of free motion of the rotor-type micromechanical gyro sensing element as a round orthotropic plate clamped at its center was based on the Timoshenko-Mindlin plate theory. Fixation of the rotor at its center was modeled as the clamped edge of a small-radius inner hole of the plate. The mathematical model of the sensing element motion was designed in accordance with the assumptions made in the paper. The obtained uncoupled differential equations for determining the natural frequencies and mode shapes of the sensing element are based on the designed mathematical model.",

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