Improving the method for calculating temperature stresses in working rolls of a reversing hot rolling plate mill

The use of universal existing physical and mathematical models is most expedient in cases where it is technically difficult or impossible to measure a parameter using a sensor. Such parameters include temperature stresses of the working rolls. The article presents a method for calculating the temperature stresses that occur in working rolls of reversing hot rolling plate mills by improving the existing mathematical model for cold rolling mills, which is based on analytical solution of the equations of elasticity and thermal conductivity, assuming that the temperature field of the roll is axisymmetric. A special feature of this analytical solution is that it is not possible to predetermine the graph of the surface temperature change of the rolls that are cooled from the outside, because it is a complex function of the non-stationary technological factors of rolling. Therefore, only the function graph is known in advance, which is set in the form of a continuous angled line obtained from the results of measuring the surface temperature of the working roll. The study is based on the specified improved numerical-analytical model and equations for calculating temperature stresses for a specific layer of the working roll of an operating hot rolling mill in a cross-section, taking into account its design features and the physical and mechanical parameters of its material. The results of a computational experiment for calculating temperature stresses using the improved method demonstrate its adaptation for a reversing hot rolling plate mill. When implementing this experiment to assess the accuracy of determining temperature stresses in the roll’s cross-section, the negative impact of the existing cooling process on durability of the working rolls’ surface layer is shown.

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