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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024 Number 88, Pages 79–93 (Mi vtgu1071)

MECHANICS

Vibration activity in electromechanical devices caused by technological errors

V. S. Dmitriev, L. L. Minkova, D. V. Ermakovb, A. A. Mokhovikovb, V. Yu. Shpil’noib, R. K. Belikovb

a Tomsk State University, Tomsk, Russian Federation
b Tomsk Polytechnic University, Tomsk, Russian Federation

Abstract: This article discusses a theoretical justification for the presence of vibration in operating modes of electromechanical devices due to technological errors occurring during the machining of parts and assembly of products. The reason for the presence of a dense spectrum of vibration caused by technological errors in the structural elements of ball bearings (outer and inner rings, balls, and cage) is also denoted. The analytical dependence of the vibration amplitude on the magnitude of technological errors is shown. It follows from the results of the analysis that for the most effective minimization of the vibration activity of an electromechanical device, it is necessary to use broadband damping, which is liquid-viscous in most cases.
In addition to the above, it is advisable to apply damping in the cascade version. When solving the system of vibration equations for an electromechanical device, replacing ball bearings with sliding bearings eliminates the first four terms, which characterize a wide and dense vibration spectrum of the ball bearings in the operating mode of the electromechanical device.

Keywords: vibration, ball bearing, damping, Fourier series.

UDC: 534.647

Received: 30.12.2022
Accepted: April 10, 2024

DOI: 10.17223/19988621/88/7



© Steklov Math. Inst. of RAS, 2024