Improvement of the method for calculating hot rolling force taking into account the effect of temperature on elastic properties of alloyed construction steel strips

The paper presents an improvement of the basic methodology for energy-force calculation of hot rolling process, based on the elastic-plastic model of the deformation zone, by increasing the accuracy of determining the forces of this process with refining the dependence of the strip elastic properties on its heating temperature. To assess the decrease in the elastic properties of the strip material with respect to the rolling temperature, graphical dependencies of the change in the modulus of elasticity for 0.3–Cr–Mn–Si and 0.5–Cr–V high quality alloyed steels were obtained. These graphical dependencies were received by analyzing the classical reference literature on the change in the steels mechanical properties during pressure treatment. The author tested the effect of applying new dependencies on the accuracy of determining forces by conducting a computational experiment for the technological modes of hot rolling in finishing group of an operating continuous wide-strip mill using two methods. The first method of calculating the forces uses the previously obtained general dependence of the modulus of elasticity on temperature for low-carbon steels, while the second method uses new adequate regression dependencies determined from the graphs of changes for each of the studied 0.3–Cr–Mn–Si and 0.5–Cr–V high quality alloyed steels. During the experimental calculations, the error between the calculated and measured values of the rolling forces was determined, and these errors were then compared. As a result, the author concluded that the use of new dependencies of the modulus of elasticity of the strip on the hot rolling temperature, in comparison with the use of a general dependence for low-carbon steels, gives an increase in the accuracy of the rolling force calculation only for 0.5–Cr–V high quality alloyed steel. The reduction of the error in calculating the forces using such a dependence was verified by a statistical assessment of the comparison of the calculated and measured values of the forces for 10 technological rolling modes for 0.5–Cr–V high quality construction alloyed steel.

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