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The frequency response of robot type micromechanical gyroscope in conditions discordance of partial frequencies

Pankratov Vladimir Mikhailovich  (Doctor of Technical Sciences, Professor, Institute of Precision Mechanics and Control Russian Academy of Sciences, Saratov)

Barulina Marina Aleksandrovna  (Ph.D., Senior Researcher, Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov)

The article discusses the impact discordance of partial frequencies on the natural frequencies of rotor type micromechanical gyroscope (RMMG). For this purpose the mathematical model of RMMG as a mechanical sys-tem with two degrees of freedom, consisting of two vibrational subsys-tems which interconnected by gyroscopic forces, was considered. A mathematical model for the dependence of RMMG frequency re-sponse and tolerances on the values of the partial frequency of oscillations in the primary (forced oscillations) and secondary (measuring) channels was constructed. The discordance of these frequencies leads to the dis-turbance of the resonance tuning of RMMG natural frequencies and forced oscillations frequency, which directly affects the accuracy of the gyro-scope. The analysis of dependence of the frequency response of the sec-ondary oscillations of a micromechanical gyroscope sense element and the tolerance value for partial frequency was made. Results of this analysis allow at the stage of gyro designing to set reasonable requirements for tol-erances on the RMMG geometric parameters, that determine the value of the partial frequencies.

Keywords:rotor type micromechanical gyroscope, frequency response, tolerance, partial frequencies, resonance, discordance of frequency

 

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Citation link:
Pankratov V. M., Barulina M. A. The frequency response of robot type micromechanical gyroscope in conditions discordance of partial frequencies // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2016. -№11. -С. 23-27
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