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 | |
| 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 |
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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
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
}
TY - GEN
T1 - Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center
AU - Barulina, M. A.
AU - Pankratov, V. M.
AU - Krysko, A. V.
PY - 2017/7/28
Y1 - 2017/7/28
N2 - 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.
AB - 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.
KW - mathematical model
KW - natural frequency
KW - rotor-type MEMS gyro
KW - round orthotropic plate
KW - Timoshenko-Mindlin plate theory
UR - http://www.scopus.com/inward/record.url?scp=85028513240&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85028513240&partnerID=8YFLogxK
U2 - 10.23919/ICINS.2017.7995652
DO - 10.23919/ICINS.2017.7995652
M3 - Conference contribution
BT - 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings
A2 - Peshekhonov, Vladimir G.
PB - Institute of Electrical and Electronics Engineers Inc.
ER -