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.