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Instruments and Systems: Monitoring, Control, and Diagnostics

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Stability of motion of the micromechanical gyroscope during angular motion of the base
I.V. MERKURYEV, V.V. PODALKOV, VU THE TRUNG GIAP

Nonlinear oscillations of the sensing element micromechanical gyroscope mounted on a vibrating base are studies. In the article were obtained nonlinear time-varying system of differential equations Mathieu – Hill, describing the oscillations of the sensor on the two generalized coordinates of the principal parametric resonance. A theoretical study of the dynamics of the gyroscope is conducted in a quasi-linear formulation of the methods of small parameter and averaging the Krylov - Bogolyubov. The dependence of the amplitude of stationary oscillations of the sensitive element of the system parameters and identified the region of asymptotic stability of oscillations in the parameter space. The estimations errors of the gyroscope on moving base are given. Key words: dynamics, micromechanical gyroscope, measurement error, averaging method. E-mail:MerkuryevIV@ya.ru Стр. 35-40

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