UDC 004.932: 519.64
MATHEMATICAL MODEL FOR AUTOMATIC DETERMINATION OF WIDTH AND SICKLE SHAPE OF METAL SHEET
A. I. Novikov, Dr in technical sciences, full professor, RSREU, Ryazan, Russia;
orcid.org/0000-0002-8166-8234, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
D. S. Dokov, CEO in LLC «Coherent», Ryazan, Russia;
orcid.org/0009-0006-6729-0788, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. I. Efimov PhD (in technical sciences), associate professor,, RSREU, Ryazan, Russia;
orcid.org/0000-0002-4014-8718, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
M. B. Nikiforov , PhD (in technical sciences), associate professor, RSREU, Ryazan, Russia;
orcid.org/0000-0002-4796-0776, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The task to construct a mathematical model of metal sheet in the process of its movement along a roller is considered. A sheet of metal after it is rolled on mill can change its edge geometry as a result of which the phenomenon of sickle shape may occur. Traditionally, sickle shape and width of a sheet are measured manually. To automate the process of measuring width and sickle shape, a system based on a set of optical sensors (profilometers) is proposed. Data processing should be performed in a time not exceeding the time required to pass the entire sheet. The difficulties of estimating these parameters based on these data are associated with rotations and transverse displacements in the process of moving the sheet along the roller. The aim is to create an adequate model of a metal sheet in order to test algorithms for determining its characteristics: width, sickle shape, presence of other defects. The issues of constructing a general profile based on data from individual measurements of a system containing six profilometers are considered, as well as a description of algorithms for finding the angle of rotation, eliminating transverse displacements, estimating sickle shape and width of metal sheet are considered
Key words: : profilometer, 2-D sheet model, model of sheet rotations, detection of non-contact points, sickle shape, sickle shape estimation, metal sheet edges approximation