Vasilisa Igumnova
ul. Polytechnicheskaya 29, Saint Petersburg, 195251 Russia
Peter the Great St. Petersburg Polytechnic University
Publications:
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Indeitsev D. A., Zavorotneva E. V., Lukin A. V., Popov I. A., Igumnova V. S.
Nonlinear Dynamics of a Microscale Rate Integrating Gyroscope with a Disk Resonator under Parametric Excitation
2023, Vol. 19, no. 1, pp. 59-89
Abstract
This article presents an analytical study of the dynamics of a micromechanical integrating
gyroscope with a disk resonator. A discrete dynamic model of the resonator is obtained, taking
into account the axial anisotropy of its mass and stiffness properties, as well as the action of the
electrical control system of oscillations. An analysis of the spectral problem of disk vibrations
in the plane is carried out. The nonlinear dynamics of the resonator in the regimes of free
and parametrically excited vibrations are investigated. In the mode of parametric oscillations,
qualitative dependencies of the gyroscopic drift on the operating voltage, angular velocity and
parameters of defects are obtained.
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