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ArticleName Modelling of the sheet forming while 3-roller bending process
DOI 10.17580/cisisr.2022.01.09
ArticleAuthor G. P. Zhigulev, M. M. Skripalenko, V. A. Fadeev, M. N. Skripalenko, V. N. Danilin

DKN-T JSC (Moscow, Russia):

G. P. Zhigulev, Cand. Eng., e-mail:


National University of Science and Technology “MISiS” (Moscow, Russia):
M. M. Skripalenko, Cand. Eng., Associate Prof., Metal Forming Dept., e-mail:
V. A. Fadeev, Cand. Eng., Metal Forming Dept., e-mail:
M. N. Skripalenko, Cand. Eng., Associate Prof., Metal Forming Dept., e-mail:
V. N. Danilin, Cand. Eng., Associate Prof., Metal Forming Dept., e-mail:


3-roller bending process was investigated using physical modelling and computer simulation. Main technological parameters influence on the formation of tube billet diameter are present; these main technological parameters are upper roller displacement and distance between axes of bearing rollers. Complete factorial experiment was conducted using bending machine, radius of the produced tube billet was set as response function. Conditions for conducting the complete factorial experiment using bending machine and techniques of tube billet radius estimation by graphical-analytical method are presented. At that least square method and SolidWorks software were applied. Regression equations for calculating tube billet diameter conditionally upper roller displacement and distance between axes of bearing rollers were obtained. Influence of these two factors on tube billet radius formation was demonstrated. Finite element method (FEM) computer simulation of the forming process was done with respect to parameters corresponding to parameters of physical modelling experiment using bending machine. FEM computer simulation was done using QForm software. QForm simulation was realized for elastic-plastic bending in terms of two-dimensional deformation. Point tracking was applied to calculate coordinates of the points of the formed sheet and bending parameters. It allowed estimation of the neutral line location in the formed sheet when bending stage was finished. Presented results of computer simulation are figures with trajectories of the tracked points; figures illustrating changing of distance between tracked points; graph of accumulated strain changing through sheet’s thickness. New criterion for neutral line (neutral surface) was proposed for sheet bending process. Results of the research can be effective when exploring Heausler AG bending equipment.

keywords Bending, forming, rolling, bending parameters, ovalization of the billet’s shape, straight weld large diameter tube, neutral line

1. Kolikov A. P., Zvonarev D. Y., Ti S. O., Sidorova T. Y. Optimization of the Processes of Forming and Welding of Large-Diameter Pipes with the Help of Mathematic Simulation. Metallurgist. 2020. Vol. 64. pp. 153–168.
2. Tovmasyan M. A., Samusev S. V., Sazonov V. A. Study of the Formation of Large-Diameter Pipes with the Use Modern Computer Systems. Metallurgist. 2016. Vol. 60. pp. 179–185.
3. Samusev S. V., Zhigulev G. P., Fadeev V. A. JCOE calculation of geometric parameters of pipe billet’s edges by single-radial schemes. Izvestiya. Ferrous Metallurgy. 2017. Vol. 60. No. 5. pp 369–373.
4. Samusev S. V., Zhigulev G. P., Fadeev V. A., Faizulaev F. H. Calculation of energy-power parameters of bending process at the site of production of welded pipes for main pipelines. Izvestiya. Ferrous Metallurgy. 2014. No. 7. pp. 39–42.
5. Samusev S. V., Tovmasyan M. A. Development of determining methods for the parameters of billets at edge bending on the TESA 1420 line. Izvestiya. Ferrous Metallurgy. 2017. Vol. 60. No. 3. pp. 187-151 (In Russ.)
6. Shinkin V. N. Simplified Calculation of the Bending Torques of Steel Sheet and the Roller Reaction in a Straightening Machine. Steel in Translation. 2017. Vol. 47. No. 10. pp. 639-644.
7. Shinkin V. N. Springback Coefficient of the Main Pipelines’ Steel Large-Diameter Pipes Under Elastoplastic Bending. CIS Iron and Steel Review. 2017. Vol. 14. pp. 28-33.
8. Vydrin A. V., Zalavin Y. E. Deformation and Kinematic Parameters of Roller Forming. Vestnik Yuzhno-Uralskogo Universiteta. Seriya: Metallurgiya. 2021. Vol. 21. No. 2. pp. 51-57.
9. Kagzi S. A., Raval H. K. An Analysis of Forces During Three Roller Bending Process. International Journal of Materials Processing Technology. 2015. Vol. 51. No. 3. pp. 248–263.
10. Gandhi A., Abdulhafiz S., Raval H. K. Formulation of Springback and Machine Setting Parameters for Multi-Pass Three-Roller Cone Frustum Bending with Change of Flexural Modulus. International Journal of Material Forming. 2009. No. 2. pp. 45-57.
11. Kolikov A. P., Zvonarev D. Yu., Taupek I. M., Sidorova T. Yu. Mathematical Simulation of Strip Plastic Deformation Process in the Whole Technological Stage of Manufacture of Large–Diameter Tubes. Chernye Metally. 2017. No 7. pp. 41–45.
12. DNV-OS-F101 - 2000. «Podvodnye truboprovodnye sistemy».
13. Bannikov A. I., Makarova O. A., Borodkina O. M., Lyaskovskii A. A. Surface Wear of a Plate in the Cone-Plate Frictional Pair of an Expansion System. Russian Engineering Research. 2015. Vol. 35. No. 5. pp. 400–402.
14. Nguyen D. C., Efremov D. B. The Method for Determining the Profile of Large Diameter Pipes and the Optimal Technological Mode During Calibration-Bending in the Weld Zone. IOP Conference Series: Materials Science Engineering. 2020. Vol. 862. 032104
15. Matveev Yu. M. Theoretical Basis of Welded Tube Manufacturing. Moscow, Metallurgiya. 1967. 168 p.
16. Moshnin Y. N. Bending and Straightening at Rotary Machines. Moscow, Mashinostroenie. 1967. 272 p.
17. Zhigulev G. P., Skripalenko M. N., Fadeev V. A., Skripalenko M. M. Modeling of Deformation Zone during Plate Stock Molding in Three-Roll Plate Bending Machine. Metallurgist. 2020. Vol. 64. pp. 348–355.
18. Ilyichev V. G., Zalavin Y. E. Improving the Roller Shaping of Large-Diameter Pipe from Strip. Steel in Translation. 2016. Vol. 46. pp. 54–57.
19. Ilyichev V. G. Features of Roll Forming in Tube Billet Production. Chernye metally. 2017. No. 9. pp. 63-68.
20. Ilyichev V. G. Efficiency of modern production technologies and quality of large diameter pipes. Chernye metally. 2019. No. 9. pp. 17-21.
21. Alyushin Y. A., Skripalenko M. M. Energy Peculiarities and Accelerations During Reversible and Irreversible Deformations. Journal of Machinery Manufacture and Reliability. 2011. Vol. 40. No. 2. pp. 154-160.
22. Chudasama M. K., Raval H. K. Development of Analytical Model of Bending Force During 3-Roller Conical Bending Process and Its Experimental Verification. International Journal of Mechanical and Mechatronics Engineering. 2013. Vol. 7, No. 11. pp. 2363-2370.
23. Salem J., Champliaud H., Feng Z. K., Dao T. M. Experimental Analysis of an Asymmetrical Three-Roll Bending Process. International Journal of Advanced Manufacturing Technologies. 2016. Vol. 83. No. 9–12. pp. 1823–1833.
24. Fu Z., Tian X., Chen W., Hu B., Yao X. Analytical Modeling and Numerical Simulation for Three-Roll Bending Forming of Sheet Metal. The International Journal of Advanced Manufacturing Technology. 2013. Vol. 69. No. 5-8. pp. 1639-1647.
25. Gandhi A. H., Raval H. K. Analytical and Empirical Modeling of Top Roller Position for Three Roller Cylindrical Bending of Plates and Its Experimental Verification. Journal of Materials Processing Technologies. 2008. Vol. 197. No. 1–3. pp. 268–278.
26. Samusev S. V., Zhigulev G. P., Fadeev V. A., Manakhov K. S. Shaping of pipe blanks on specialized bending equipment. Steel in Translation. 2016. Vol. 46. No. 3. pp. 169-172.
27. Antony J. Design of Experiments for Engineers and Scientists. 2003. 190 p.

Full content Modelling of the sheet forming while 3-roller bending process