Uncertainty Propagation for Ring-Based Vibratory MEMS Gyroscopes Under Random Input Angular Speed Fluctuation

Uncertainty quantification for ring-type MEMS gyroscopes due to frequency mismatch as well as quality factor is investigated. A suitable two-degree of freedom dynamic model is used to represent the vibratory behavior of a ring-gyroscope considering the second flexural modes. For the purposes of characterizing the vibratory behavior due to uncertain system as well as environmental parameters, steady state portion of transient responses are considered. Monte Carlo simulation method is used for estimating the ensemble mean as well as the standard deviation (measure of variance) of response samples. Employing an optimal sample number predicted via simulations, uncertainty quantification for the response statistics are evaluated via ensemble mean and standard deviations. It is envisaged that the predictions made from the output response statistics and uncertainty quantification analyses of the present study can lead to significant performance improvements in the design of this class of micro-machined ring-type vibratory angular rate sensors.