Abstract

The effectiveness of a number of scientific studies is based on the fact that systems in development are considered as their subject. In particular, currently improving rolling processes to ensure resource saving and improving production safety requires a systematic approach to solving stability problems. Changes in the technological parameters of the process should be made so that the state of the system-technology, assessed as stable, does not change: the work is deformed in the stands of the rolling mill in the normative mode; variations in the values do not lead to an uncontrolled change in parameters. To justify the use of the resulting longitudinal forces as a stability criterion, understood as preserving the consistency of the rolling technology, the stress state in the deformation zone was calculated. According to the results of calculations and measurements, diagrams of the distribution of contact stresses are obtained, then the longitudinal internal stress, the value of the current longitudinal internal force are determined, the values of the resulting longitudinal forces are found, the adequacy of the longitudinal stability estimates is confirmed. The presented results of rolling steel and lead samples, including those involving experimental data of other researchers, show that the use of the resulting longitudinal forces longitudinal stability as a criterion of the longitudinal stability more accurately characterizes the limiting conditions compared to essentially the geometric condition γ = 0 (α = 2f). Substantial explanations are possible for facts about the imbalance of forces in the deformation zone with subsequent slipping of the metal in the presence of an advance zone with a capture angle α <2f. The substantive explanations are given for the facts about the disturbance of the equilibrium of forces in the deformation cell with the subsequent sliding of the metal in the presence of an advance zone with a capture angle α <2f. The grounds are obtained to assert that the longitudinal stability of rolling characterizes the systemic properties of production technology in the dynamics of development, as structural stability and adaptability of the process.

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