The Dynamics of a Thin Piezoelectric Cylinder Gyroscope

The paper considers the theory of a new type of vibratory rate gyroscope. The design considered is based upon a thin cylindrical shell of radially polarized lead zirconate titanate on which are deposited drive and pick-off electrodes. The equations of motion of the cylindrical shell are derived and the response of the gyroscope to constant and harmonic rates of turn is determined.