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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2022 Volume 13, Issue 3, Pages 5–15 (Mi ps395)

Artificial Intelligence, Intelligent Systems, Neural Networks

Simulation of a multifunctional micromechanical gyroscope

L. U. Bakhtievaa, V. M. Bogolyubovb, M. D. Tumakova

a Kazan Federal University, Kazan, Russia
b Kazan National Research Technical University named after A. N. Tupolev (KAI), Kazan, Russia

Abstract: The possibility of constructing a multifunctional inertial navigation device based on a hybrid-type modulation micromechanical gyroscope is considered. A mathematical model of the device ("heavy" gyroscope) as a high-quality three-dimensional oscillatory system is constructed. It is numerically shown that, under certain conditions, the reaction of the system to the motion of an object has, along with precession, the observed nutation, which carries information about the linear motion of the gyroscope base. It is noted that the possibility of measuring linear accelerations is ensured by the presence of a small symmetrical distance between the axes of the elastic suspension relative to the center of mass of the sensing element.
The results obtained make it possible to implement a two-component angular velocity meter and a two-component linear acceleration meter in one device.

Key words and phrases: mathematical model, vibration, micromechanical system.

UDC: 531.383:519.876.5

MSC: Primary 70-10; Secondary 70B15

Received: 28.06.2022
Accepted: 20.09.2022

DOI: 10.25209/2079-3316-2022-13-3-5-15


 English version:
, 2022, 13:3, 17–27


© Steklov Math. Inst. of RAS, 2025