MODELING OF INERTIA MOMENTS FORMATION FOR ELECTROSTATIC GYROSCOPE ROTORS

Subject of Research.The paper proposes principles, conditions and technical solutions of the creation process for moments of inertia of spherical rotors based on the mass redistribution of functional coatings formed on the rotor surface. We study the formation technology of the required values and the ratio of the axial and equatorial moments of inertia of the spherical rotor that is a main constructive element of electrostatic gyro. Traditional forming methods of the moments of inertia of solid spherical rotors are based on embedding reinforcing elements made of materials with higher density than the substrate in the body of the rotor. It can be realized by pressing the wire segments or by diffusion welding of the rotor assembly units. In this case the rotor consists of several components, and reinforcing elements, embedded in the body of the rotor create inhomogeneities and anisotropy of the assembly properties. This fact reduces the accuracy and negatively affects the dynamics of the rotor in the suspension. Existing methods also have limitations in terms of the possibility of nonmetallic material application for production of the rotor. Method. We propose an alternative method for formation of rotor moment of inertia based on the mass redistribution of thin-film functional coatings formed on rotor surface. It can be used for metals and nonmetallic materials. Mathematical models for realization of the proposed method are presented. Main Results. The developed mathematical models determine the dependence of moments of inertia on the geometric parameters of rotor elements and reveal significant factors controlling the process of formation of moments of inertia. Technical solutions for different rotor configurations are considered. A rotor can be realized as an ellipsoid of rotation, a ball with removed material in the shape of a spherical belt and a ball with an equatorial groove, with the following spherical-shape recovery during coating deposition. Practical Relevance. We present comparative analysis of the application efficiency for considered configurations and practical data, received from the production of rotors made of various materials.The mathematical models are developed that determine the variation ranges of the rotor geometric parameters and expand the technological capabilities of the formation process for moments of inertia through the use of various alternative versions of the manufacture of rotors.

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