Abstract
The aim of the research is to develop the theory of mathematical modeling for describing the processes occurring during the processing of metals by pressure and the development of software for conducting experimental studies to determine the wear characteristics of the roll barrel of rolling mills; determination of the dependence for describing the shape of the barrel forming roll, taking into account its wear; refinement of the mathematical model of Meltzer-Salganika taking into account the wear of the roll of the support roll. The authors proposed a vector equation for describing the barrel forming roller with regard to its wear. The research used methods of system analysis to study the uneven wear of the roll barrel, methods of statistical analysis to identify cause-effect relationships, methods for constructing deterministic models for describing the profile of the strip, object-oriented programming for the development of basic modules and the software interface. On the basis of algorithmic solutions, software products have been developed to perform a computational experiment to determine the nature of the roll barrel wear. The results of the computational experiment showed a discrepancy with production measurements of no more than 3% and allowed the research group to work out recommendations on changing the values of technological parameters that compensated for the negative effect of wear of the back-up rolls in the production of hot-rolled steel.
Keywords
Mathematical modeling, software, profile definition algorithms, software implementation, the form of the forming roll, the mathematical model of wear, the modeling of deformations and loads of the four-high mill stand.
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