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

M. A. Barulina, V. M. Pankratov, A. V. Krysko

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 languageEnglish
Title of host publication2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings
EditorsVladimir G. Peshekhonov
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9785919950486
DOIs
Publication statusPublished - 28 Jul 2017
Externally publishedYes
Event24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Saint Petersburg, Russian Federation
Duration: 29 May 201731 May 2017

Conference

Conference24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017
CountryRussian Federation
CitySaint Petersburg
Period29.5.1731.5.17

Fingerprint

Orthotropic plates
Rotors
Mathematical models
Mindlin plates
Natural frequencies
Differential equations

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

Cite this

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 proceedingConference 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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