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ArticleName Simulation mathematical model of the pipe reduction process
DOI 10.17580/chm.2021.10.10
ArticleAuthor A. V. Vydrin, D. A. Akhmerov, E. V. Khramkov

RusNITI JSC (Chelyabinsk, Russia):

A. V. Vydrin, Dr. Eng., Prof., Deputy General Director for Research, e-mail:


South Ural State University (Chelyabinsk, Russia):
D. A. Akhmerov, Postgraduate Student, Dept. of Processes and Machines for Metal Forming, Junior Researcher, Laboratory for Modeling Technological Processes, e-mail:


Scientific and Technical center TMK Ltd. (TMK NTTs) (Moscow, Russia):
E. V. Khramkov, Deputy Head of the Laboratory for Digitalization of Technologies


The paper deals with issues related to longitudinal stresses when rolling pipes on a three-roll reduction-stretching mill. The article presents a simulation model of the pipe reduction process to determine the longitudinal forces arising in the pipe string between the working stands of a continuous tension reduction mill. An algorithm for calculating a simulation model is presented, which makes it possible to calculate the stress from the front and rear longitudinal forces. The algorithm is based on determining the value of the second volume as the product of the crosssectional area of the pipe string coming out of the reduction mill by the average roll speed of the last stand along the groove perimeter. This model was used to calculate the pulling capacity of the rolls in each stand, i.e., what are the maximum possible longitudinal forces they can create in the pipe sections between the stands. The influence of the number of rotation of the rolls in the last group of influence on the longitudinal forces is shown. With the help of a computer, the reliability of the model was assessed.

keywords Mathematical model, simulation model, tube reduction, tubeless rolling, energy balance

1. Kolikov А. P., Romantsev B. А., Aleshchenko А. S. Metal forming: the theory of pipe production processes: textbook. Moscow: NITU MISiS, 2019. 502 p.
2. Glaser T., Schwarz P., Fahle S. et al. Comparison on the processing of height deviations of disks from FEM and real rollings in radial-axial ring rolling. Lecture Notes in Production Engineering. 2021. pp. 2947–2958.
3. Shishkin D. O., Petrov P. A. Modeling of the torsion test of a cylindrical specimen with the help of the inverse method. E3S Web of Conferences. 2021. Vol. 266. p. 09003.
4. Mikhalkin D. V., Korsakov A. A., Alyutina E. V., Khramkov E. V. et al. Improvement of the precision of pipes with the use of profiled pipe billets. Metallurgist. 2020. Vol. 64. No. 3. pp. 315–321.
5. Akhmerov D. А., Vydrin А. V. Study of the process of formation of tubes end sections during longitudinal rolling in grooves formed by a different number of rolls. Chernye Metally. 2021. No. 1. pp. 44–48.
6. Zhernosek V. N., Yurkov I. V., Podtyagin V. E., Nikishkin A. E. Quality improvement and evaluation of stress-strain state of cylindrical shells during drawing with local wall thinning. Journal of Physics: Conference Series. 2021. Vol. 1889. No. 4. p. 042021.
7. Toporov V. А., Ibragimov P. А., Panasenko О. А. et. al. Numerical simulation of continuous rolling of pipes on an FQM mill in the Deform-3D program. Vestnik Yuzhno-Uralskogo gosudarstvennogo universiteta. Seriya: Metallurgiya. 2020. Vol. 20. No. 1. pp. 27–33.
8. Mapelli C., Montelatici L. Stretch-reducing mill: a new approach by neural networks. Metallurgical Research and Technology. 2001. Vol. 98. No. 10. pp. 881–887.
9. Orlov G. А., Orlov А. G., Kungurov Е. А. Review of methods for reducing pipes in order to reduce the end longitudinal difference in wall thickness. Chernaya metallurgiya. Byulleten nauchno-tekhnicheskoy i ekonomicheskoy informatsii. 2019. Vol. 75. No. 1. pp. 86–94.
10. Burkin S. P., Iskhakov R. F. Reducing and stretching mill for hot rolling of pipes in a horizontal hydraulic press line. Proceedings of the 6th International scientific-practical conference “Innovative technologies in metallurgy and mechanical engineering”. Ekaterinburg, 2012. pp. 800–812.
11. Vydrin А. V., Khramkov Е. V., Bunyashin М. V. Energy balance of the process of rolling oil country tubular goods on a reduction mill. Metallurg. 2016. No. 1. pp. 21–25.
12. Vydrin А. V., Al-Dzhumaili М. Zh. М., Shkuratov Е. А. Algorithm for calculating the power parameters of the process of rolling a hollow billet in a continuous mill. Vestnik MGTU imeni G. I. Nosova. 2019. Vol. 17. No. 2. pp. 32–37.

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