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Instruments and Systems: Monitoring, Control, and Diagnostics

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Dynamics in the vibrating gyroscope in conditions of its basis linear vibration where the variable thickness resonator with axial symmetry is applied
Merkuryev I.V., Podalkov V.V.

This article deals with the movement of the thin bell-shaped resonator of a vibrating resonator gyroscope. It is supposed the thickness of the resonator changes on district coordinate under the harmonious law. Low-frequency fluctuations on a bend of the resonator are investigated. The problem about elastic displacement of the resonator on the basic form of fluctuations is put and solved. Using the Lagrange approach the differential equations of the resonator’s movement are derived. The analytical solution describing compelled fluctuations of the resonator is obtained. Above described has led to following outcomes. The heterogeneity second harmonic of resonator’s thickness is responsible for gyro sensitivity to projection of external vibration of foundation on the gyro-input axis; the first and third harmonics are responsible for the gyro sensitivity to vibrations orthogonal to the input axis.

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