Identification of inhomogeneity of the solid-state wave gyro resonator mass distribution

Motion of the annular resonator of solid-state wave gyro with inhomogeneous mass distribution by the action of position exciting forces, is considered. An approximate solution of motion equations is obtained by means of the Bubnov-Galerkin’s method. The method of identification of the four first harmonics of the resonator density Fourier expansion on circumferencial angle is proposed when using this method. When knowing amplitude and orientation of these harmonics it is possible to balance a resonator to decrease a retreat velocity of the solid-state wave gyro.