Apostolyuk V. Generalized theory and design methodologies of Coriolis vibratory gyroscopes

Coriolis vibratory gyroscopes (CVG) theory was generalized and further developed in this dissertation along with the sensitive element design methodologies. Expressions for calculating scale factor, dynamic range, bias, and bandwidth using design parameters of sensitive element were derived. Analytical design methodologies, when such sensitive elements parameters as primary and secondary natural frequencies and relative damping factors are calculated directly from the desired main performances, were developed in this dissertation. Mathematical model of CVG sensitive element is terms of demodulated signals was developed in the dissertation as well. CVG system transfer function was used to synthesise static optimal filters for stochastic process and sensor noises based on the Wiener method. Suggested in the dissertation decoupling system is capable of highly efficient removal of undesired cross-couplings between primary and secondary oscillations. Simple and robust control system along with its transfer functions was designed to implement angular rate integrating operation mode.