Abstract
This work presents the analysis of a ring-type motion sensor which can sense the angular rate about the three axes besides the three components of linear acceleration. It integrates the functions of three-axis gyroscope and three-axis accelerometer. The design of the sensor is based on a vibrating ring shell structure. Translational modes of the ring are used to sense acceleration, and flexural modes are used to detect angular rates. Derivation of the equations of motion of the sensor using a Lagrangian method is detailed, and final expressions for the sensor's sensitivity are obtained and verified by finite element analysis.
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