Study of dynamic characteristics of resonators for MEMS resonant vibratory gyroscopes

Dynamic characteristics of resonators for MEMS resonant vibratory gyroscopes are studied in this paper. Firstly, a small parameter method is introduced to analyze the dynamic characteristic stability of the resonator. It is proved that geometrical parameters of the resonator have to be regulated to match corresponding stability analysis. In order to verify the rationality of the theoretical parameters design, static calibration experiment is built using a resonator sample. It is concluded from the calibrated result that the error between theory design and experiment is 0.03 %, which shows they have a good match, and the design of resonator is reasonable. Moreover, the method of small parameter perturbation is considered to analyze the input–output dynamic characteristic. Under some transformations, which make input angular velocity and output resonant frequency shift possess a good linear relationship. In order to verify the correctness of the theory analysis method, dynamic frequency output characteristic experiment is built using the resonant vibratory gyroscope sample. It is concluded from the dynamic measurement result that the correlation coefficient of output fitted curve is 99.95 %, the measured algorithm scale factor of the gyroscope sample is 0.2116, which prove theoretical analyzing approach is feasible.