MODELING THE ELECTROMECHANICAL SYSTEM OF DRUM FLYING SHEARS USING LAGRANGE EQUATIONS

Alibek Batyrbek, Galina Sivyakova, Valerii Tytiuk

2025

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DOI 10.48081/ixoc3704
Data confidence 70 medium
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Abstract

This article presents mathematical modeling of the electromechanical system of drum flying shears in the conditions of the rolling mill CWBRM-1700 of JSC «Qarmet» based on the Lagrange equations of the second kind. The study is aimed at developing a dynamic model that takes into account the interaction of electric drives, kinematic links and cutting elements under high speeds and loads. The aim of the work is to develop a mathematical model of the electromechanical system of drum flying shears of the rolling mill CWBRM-1700 based on the Lagrange equations of the second kind, taking into account elastic deformations, inertial characteristics and external loads. Generalized coordinates, forces and moments acting in the system are determined, taking into account the technological features of the transverse metal cutting process. Based on the Lagrange equations, differential equations of motion are obtained that describe the dynamics of the system. An analysis of the influence of the parameters of electromechanical components on the accuracy and stability of the shears is carried out. The results of the study allow us to quantitatively evaluate the influence of elastic connections in the mechanical structure of flying shears on the kinematic characteristics of the upper and lower cutting drums, as well as to determine the amplitude-frequency parameters of the resulting dynamic loads. The developed mathematical model creates the possibility of precise optimization of technological cutting modes, a significant increase in energy efficiency and a significant reduction in dynamic loads. This study can be useful for specialists in the field of automation of rolling production and design of electromechanical systems. Key words: modeling, multimass system, electromechanical system, electric drive, hot rolling mill, elastic connections, drum flying shears.