Development of Methods for Identification of Nonlinear Mathematical Model Parameters of Solid-State Wave Gyroscope

Abstract

Identification of parameters of a solid-state wave gyroscope in the forced and free-run modes under nonlinear resonator oscillation is considered. By using the Krylov-Bogolyubov averaging method, calibration equations are deduced for determining the mathematical model coefficients. These coefficients contain an oscillation nonlinearity coefficient and parameters characterizing resonator defects including frequency difference and damping anisotropy, orientation of main axes of stiffness and dissipation. Suggested identification methods allow us to perform testing at large oscillation amplitudes. Numerical simulation of parameters identification is carried out. It is shown that accounting for nonlinearities in case of large oscillation amplitudes significantly increases the accuracy of parameters identification.