One-dimensional equations of motion of a piezoelectric beam are derived and applied to the dynamic analysis of a vibratory piezoelectric beam gyroscope. The equations are deduced from three dimensional equations of linear piezoelectricity by expanding the displacement and electric potential in double power series of the transverse coordinates of the beam in conjunction with the complementary boundary conditions. The effects of the material constants on the amplitude of the output voltage, and the effects of the Coriolis, centrifugal, and damping forces on the natural frequencies of the beam are discussed.
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