Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia:

A. V. Antsupov (Jr.), Cand. Eng., Associate Prof., Dept. of Design and Operation of Metallurgical Machines and Equipment, e-mail: a.antcupov@gmail.com
V. P. Antsupov, Dr. Eng., Prof., Dept. of Design and Operation of Metallurgical Machines and Equipment
E. S. Ryskina, Cand. Eng., Associate Prof., Dept. of Design and Operation of Metallurgical Machines and Equipment

Bauman Moscow State Technical University, Moscow, Russia:

A. V. Antsupov, Dr. Eng., Associate Prof., Dept. of Mechanical Engineering Technologies

Stricter requirements for reducing the thickness of hot-rolled and cold-rolled wide strips have required the refinement of classical models to describe the process of their contact interaction with working rolls in the four-high mill stands. Therefore, modern models are forced to use an elastic-plastic scheme of the deformation zone, in which, along with the plastic resistance to deformation of the strip, its resistance is taken into account in the areas of elastic compression at the inlet and elastic recovery at the outlet of the rolls. However, to calculate the coefficient of friction in the new zones of elastic lag and advance, methods for determining it in a plastic deformation zone are still used. To eliminate this contradiction and correctly describe the physical nature of the elastic frictional interaction of rolls and strips, the article suggests using the N. M. Mikhin friction model of deformable solids. The adaptation of the model to the friction conditions of the rolls with the strip on elastic sections allowed us to identify the dependence of the relationship of the coefficient of friction with external pressure, the parameters of the roughness of the rolls, the physical properties of the strip material and the tribotechnical characteristics of the contact. Based on the analysis of this dependence, a linear law of increasing the coefficient of friction from the input plane and the output plane towards the plastic section, and its value varies from the reference value of the pressure-viscosity coefficient to the value of the coefficient of friction on the plastic section. The established pattern of friction was taken into account when constructing a method for calculating the roll force, which was used in the development of routes for moving rolls along the stands of PJSC "Magnitogorsk Iron and Steel Works" mill 2000 in accordance with the degree of their loading, and the most effective of them were introduced into commercial operation.

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