Fractal approach to forecasting quality of rolled rolls
DOI:
https://doi.org/10.30838/J.PMHTM.2413.250918.58.400Keywords:
roller iron, mechanical properties, fractal dimension, structure, regression equationAbstract
Abstract. Formulation of the problem. Non-destructive testing methods are often used to evaluate mechanical properties. A promising direction in the field of predicting the characteristics of the quality of a metal is the use of mathematical methods of forecasting, in particular, planning experiments. Material and methods. For the research, СПХН–45 roller iron was selected. Mechanical tests were carried out on radial samples of the working area of the roll barrels (distance from the surface to 10 mm). The fractal dimension was calculated using a technique based on the convergence of cellular and point methods. Results and discussion. Relationships describing the effects of the fractal dimensions of the pearlite matrix, graphite and carbides on the mechanical properties of roll iron (tensile strength and bending strength, toughness and hardness) are established. The regression equations are obtained, which make it possible topredict the mechanical properties of the working area of the СПХН–45 mill rolls, depending on the fractal dimension of the elements of their structure. Conclusions. The influence of the fractal dimension of the structure of rolling rolls on their mechanical properties is determined, which makes it possible to use the obtained models to predict these properties.
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