Mathematical Modeling of Rolled Metal Strip in Stresses
Keywords:
stress function, cold rolling, elastoplastic deformationsAbstract
Many causes of the asymmetry of the rolling process can occur during the rolling of a thick plate under industrial conditions; the most important are non-uniform heating of the charge, the mismatch between the neutral axis of the strip and the neutral axis of the deformation zone, unequal diameters of the upper and lower working rolls, inaccurately manufactured parts of the rolling cage, the difference in the characteristics of the drive control systems of certain rolls. At present, the optimization of energy-saving technologies in mechanical engineering for the production of rolled sheets of various configurations using modern methods of mathematical modeling is becoming an important direction for the informatization of machine-building production. The process of cold rolling of metal sheets in the core, using asymmetric technology is accompanied by a non-homogeneous stress-strain state. Finite element simulation provides the researcher with universal tools for approximating complete solutions for various bodies of complex configuration and therefore has a wide application. An obvious disadvantage of finite element analysis is a rather high computational volume and a limited ability to understand the transition from one equilibrium state to another. Analytic approaches, through generality, can usually overcome both of these problems. In this article, based on mathematical modeling in non-canonical deformation regions, an approach is proposed to determine the optimal technological parameters in the study of the stress-strain state of the cold rolling process using asymmetric and symmetric technologies in the core of elastic-plastic deformations.
References
Senanayake R. S., Cole I. M., Thiruvarudchelvan S. The application of computational and experimental techniques to metal deformation in cold roll forming //Journal of Materials Processing Technology. – 1994. – V. 45. – №. 1-4. – P. 155-160.
Liu C. et al. Elastic-plastic finite-element modelling of cold rolling of strip //International journal of mechanical sciences. – 1985. – V. 27. – №. 7-8. – P. 531-541.
Alsamhan A., Hartely P., Pillinger I. The computer simulation of cold-roll-forming using FE methods and applied real time re-meshing techniques //Journal of Materials Processing Technology. – 2003. –V. 142. – №. 1. – P. 102-111.
Davies C. H. J., Hong L. The cellular automaton simulation of static recrystallization in cold-rolled AA1050 //Scripta materialia. – 1999. – V. 40. – №. 10. – P. 1145-1150.
Klyuchnikov K. Yu., Ershov S. V., Lokhmatov A. P. Analysis of the main provisions of mathematical modeling of the round billet flattening process // Fundamental and applied problems of ferrous metallurgy. – 2005.
Nguyen V. B. et al. Dimpling process in cold roll metal forming by finite element modelling and experimental validation //Journal of Manufacturing Processes. – 2014. – V. 16. – №. 3. – P. 363-372.
Akhmedov A.B., Sheshenin S.V. On the construction of nonlinear equations of motion of orthotropic plates // Bulletin of Moscow State University, a series of physical and mathematical sciences. - Moscow, 2012. - No. 3. - P.36-39.
Akhmedov A.B. Numerical solution of spectral problems. - Tashkent: FAN, 2012, -118 p.
Ахмедов А.Б., Холманов Н.Ю. “Математическое моделирование проката металлической полосы по асимметричной технологии”, Узбекский журнал Проблемы механики. №2, 2023, 58-71 ст.
Satonin A. V. Mathematical modeling of the stress-strain state of metal during hot section rolling of thin angular profiles of complex shape. – 2010.– no. 1.– P. 18.
Trusov K. A., Kopaev O. V., Nushtaev D. V. Modeling of straightening modes for flat products // Engineering Systems-2017. - 2017. - P. 128-133.
Avtsynov V. N. Improving the technology of cold rolling and heat treatment of auto sheet steel using mathematical modeling: Diss. – Lipetsk State Technical University, 2006.
Ильюшин А. А. Моделирование динамических процессов в твердых телах и инженерные приложения. М.: Физматлит, 2009. -526 с.
