Authors: M.Y. Borschinsky

Title of the article: Rope and shaft oscillations as a model of a component of a complex control object of an electromechanical system of mine hoist

Year: 2020, Issue: 6, Pages: 43-51

Branch of knowledge: 09.05.03 Electrotechnical complexes and systems

Index UDK: 622.6

DOI: 10.26730/1816-4528-2020-6-43-51

Abstract: The analysis of a complex control object of the electromechanical system of mine hoist control was carried out. A significant effect on the wear resistance, quality of control and power consumption of the system was established with insufficient knowledge of the transverse vibrations of the shaft and rope. The existence of transverse vibrations is experimentally confirmed on the example of Abakan mine. Known studies of transverse oscillations are based on the bend of the beam, but for a beam the tangent on the support is located at an angle greater than zero degrees, the tangential ends of the shaft and rope are equal to zero, due to which additional zero boundary conditions are added that cannot be realized on the basis of the beam flexural theory. A refined method called mirror symmetry, i.e. conversion of a concentrated load into equivalent bending moments, has been developed, and on its basis a dynamic model has been created using static bending as initial conditions. The theory is based on the Fourier method (separation of variables). The Fourier method does not ensure investigation of oscillations of systems with functions of initial conditions that are not broken down in the Fourier series by sinuses that do not contain a free term. The paper solves the problem allowing the application of functions that can be broken down into Fourier series with a free term. In the Fourier method, the possibility of introducing additional constituents providing modeling of fading oscillatory processes has been added. The problem of mathematical description by one equation of static bending and dynamic processes is solved, which is solved in the beam flexural theory by two independent systems. The model and partially experimental studies of the solved problems have been carried out.

Key words: Mine hoist electromechanical system transverse vibrations shaft rope Fourier method mirror symmetry model

Receiving date: 20.11.2020

Publication date: 29.12.2020

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