Modelling the barrel body wear of the backup roll: mathematical model and software implementation

The aim of the research is to develop the theory of mathematical modelling for describing the processes occurring during metal forming. The research was carried out in several stages: experimental study of the backup roll wear, finding a dependence to describe the shape of the roll generatrix allowing for the roll wear, refinement of the Meltzer-Salganik model taking into account the backup roll wear, development of algorithmic solutions and software for carrying out the computational experiment. The methods of system analysis were used to study the uneven wear of the roll barrel, the methods of statistical analysis to identify cause-effect relationships, the methods of building deterministic models to describe the strip profile, object-oriented programming to develop the basic modules and the software interface. On the basis of algorithmic solutions, software products have been developed to perform the 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 working out recommendations on changing the values of technological parameters that compensated for the negative effect of wear of the backup rolls in the production of hot-rolled steel. © 2018, Springer-Verlag London Ltd., part of Springer Nature.