Modeling and Analysis of a Single Mass Resonant Gyroscope &quot

Abstract

Mathematical and simulation models for a single mass resonant gyroscope are discussed in this paper. The mathematical model discusses the dynamics of a single mass that oscillates in two orthogonal directions and subjected to an angular rotation rate about the third direction. The equations of motion are then solved to get the amplitude of the drive and sense mode responses. The solution is applied to a resonant gyroscope. The sense mode response of the gyroscope as subjected to an angular rate input is determined. Sensitivity analysis is then performed to show the effect of the driving force frequency and the natural frequencies of the drive and sense modes. Finite element simulations of a symmetrical resonant gyroscope are presented, and consequently the mechanical coupling between the two vibrating modes is determined. The sense mode response relative to the angular rate input is simulated and the results are compared to the analytical results.