One-Dimensional Equations for a Piezoelectric Ring and Applications in a Gyroscope

Jiashi Yang, Huiyu Fang, and Qing Jiang

ABSTRACT One-dimensional equations for coupled in-plane extensional and flexural vibrations of a piezoelectric ring are derived. The equations are used to analyze a ring piezoelectric gyroscope. Free and forced vibration solutions are obtained. Resonant frequencies and voltage sensitivity as well as their dependence on rotation rate and other parameters are examined.

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