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Dynamical balancing of the surface of shell resonators of solid-state wave gyroscopes

Keywords:

M.A. Basarab – Dr. Sc. (Phys.-Math.), Leading Research Scientist, Sector «Organization of scientific research», Bauman Moscow State Technical University
E-mail: bmic@mail.ru
V.I. Kuzovlev – Ph. D. (Eng.), Associate Professor, Department «Information Processing and Control Systems», Bauman Moscow State Technical University
E-mail: kuzovlev@bmstu.ru
B.S. Lunin – Dr. Sc. (Eng.), Leading Research Scientist, Chemical Faculty, Lomonosov Moscow State University
E-mail: luninboris@yandex.ru


A general approach is proposed for balancing the lowest harmonics of the inhomogeneity of the angular distribution of the resonator mass of solid-state wave gyroscopes by chemical or electrochemical etching. Improving the accuracy of Coriolis vibratory gyroscopes depends directly on the perfection of technology of manufacturing their resonators. Anomalies of the mass distribution around the circumference of the resonator shell lead to unwanted precession of the standing wave in the resonator and reduce the accuracy of the instrument. By now, some engineering techniques have been developed to balance both resonators with special teeth and toothless resonators. These technologies allow us to solve the problem, but they are rather labor consuming and involve sophisticated equipment. The aim of this work was to develop a simple and inexpensive technology for balancing resonators of general-purpose vibratory gyroscopes, suitable for mass production. To achieve this goal, the novel algorithms were developed for balancing the first four harmonics of non-uniform mass distribution of toothless resonators of arbitrary shape by using the methods of electrochemical and chemical etching respectively. The resonator is a thin axisymmetric shell of revolution in the form of a dome with an arbitrary generatrix. The etching of the unbalanced mass from the surface of a resonator partially immersed in a chemical solution or an electrolyte is performed in accordance with the analytical algorithm for calculating the angle of rotation of the resonator around the axis of symmetry, the slope and depth of its immersion, and the etching time. The proposed method of balancing generalizes the previously discussed methods of balancing hemispherical and cylindrical resonators and allows significantly reducing the time and laboriousness of the ba-lancing process.

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