Extreme gradient boosting (XGB)-driven simulator for radial-axial force estimation in ring rolling

Extreme gradient boosting (XGB)-driven simulator for radial-axial force estimation in ring rolling

Mattia Perin, Guido Berti

Abstract. Force estimation in metal forming processes is crucial for identifying the correct machine during production and determining the best process parameters to achieve good quality, reduce scrap and minimize energy consumption. In the hot Radial-Axial Ring Rolling (RARR) process force estimation is normally carried out by highly time-consuming finite element analysis (FEA) or empiric-analytical models. To achieve a reliable and yet real-time estimation of the process loads, this research presents a freeware software based on a Python script, to estimate mandrel and axial roll forces based on the initial/final geometry of the ring, its material and temperature, process time and tools motion laws’ initial and final values. The Mandrel Force (FM) and Axial roll Force (FA) forces are predicted from 10% to 100% of the process time, excluding the calibration phase. The prediction algorithm is based on the Extreme Gradient Boosting (XGB) ensemble algorithm, trained and validated with FEA and experimental data. A total of 50 cases belonging to rings with the final outer diameter ranging between 429 and 946 mm were gathered and standardized, and data augmentation was carried out to improve the robustness of the model. Training and validation sets are randomly constructed, employing a 5-fold cross-validation technique to ensure uniformity of the database and reliability of the results. During the validation phase, the prediction of the mandrel force and axial roll force showed an average error of 8.2% and 9.9% respectively. A simple Graphic User Interface (GUI) has been developed to easily utilize the algorithm to predict the mandrel and axial roll forces over the completion percentage. The proposed methodology aims to answer the call for agile, user-friendly and reliable analysis tools to be employed directly at manufacturing plants, limiting the utilization of FEA simulations to highly complex scenarios, and thus enhancing global efficiency.

Keywords
Ring Rolling, Radial Force, Axial Force, Extreme Gradient Boosting

Published online 5/7/2025, 10 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Mattia Perin, Guido Berti, Extreme gradient boosting (XGB)-driven simulator for radial-axial force estimation in ring rolling, Materials Research Proceedings, Vol. 54, pp 839-848, 2025

DOI: https://doi.org/10.21741/9781644903599-90

The article was published as article 90 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] G.A. Berti, L. Quagliato, M. Monti, Set-up of radial–axial ring-rolling process: Process worksheet and ring geometry expansion prediction, International Journal of Mechanical Sciences. 99 (2015) 58-71. https://doi.org/10.1016/j.ijmecsci.2015.05.004
[2] J.M. Allwood, A.E. Tekkaya, T.F. Stanistreet, The Development of Ring Rolling Technology, Steel Research International. 76 (2005) 111-120. https://doi.org/10.1002/srin.200505981
[3] L. Hua, J. Deng, D. Qian, Precision ring rolling technique and application in high-performance bearing manufacturing, MATEC Web of Conferences. 21 (2015) 03002. https://doi.org/10.1051/matecconf/20152103002
[4] L. Hua, J. Deng, D. Qian, Z. Chen, J. Shao, Effects of rolling curve on recrystallization evolution during hot radial-axial ring rolling of super lager alloy steel ring, Procedia Manufacturing. 15 (2018) 72-80. https://doi.org/10.1016/j.promfg.2018.07.172
[5] I. Mirandola, G.A. Berti, R. Caracciolo, S. Lee, N. Kim, L. Quagliato, Machine Learning-Based Models for the Estimation of the Energy Consumption in Metal Forming Processes, Metals. 11 (2021) 833. https://doi.org/10.3390/met11050833
[6] L. Giorleo, E. Ceretti, C. Giardini, Energy consumption reduction in Ring Rolling processes: A FEM analysis, International Journal of Mechanical Sciences. 74 (2013) 55-64. https://doi.org/10.1016/j.ijmecsci.2013.04.008
[7] L. Quagliato, G.A. Berti, Mathematical definition of the 3D strain field of the ring in the radial-axial ring rolling process, International Journal of Mechanical Sciences. 115-116 (2016) 746-759. https://doi.org/10.1016/j.ijmecsci.2016.07.009
[8] L. Quagliato, G.A. Berti, D. Kim, N. Kim, Slip line model for forces estimation in the radial-axial ring rolling process, International Journal of Mechanical Sciences. 138-139 (2018) 17-33. https://doi.org/10.1016/j.ijmecsci.2018.01.025
[9] Z.G. Lu, J. Wu, R.P. Guo, J.F. Lei, L. Xu, R. Yang, Prediction of Ring Rolling Process of PM Ti2AlNb Alloy by Hot Isostatic Pressing Based on Gleeble-3800 and FE Simulation, Materials Science Forum. 849 (2016) 753-759. https://doi.org/10.4028/www.scientific.net/MSF.849.753
[10] G. Zhou, L. Hua, D. Qian, D. Shi, H. Li, Effects of axial rolls motions on radial–axial rolling process for large-scale alloy steel ring with 3D coupled thermo-mechanical FEA, International Journal of Mechanical Sciences. 59 (2012) 1-7. https://doi.org/10.1016/j.ijmecsci.2012.01.002
[11] D.S. Qian, G. Zhou, L. Hua, D.F. Shi, H.X. Li, 3D coupled thermomechanical FE analysis of blank size effects on radial-axial ring rolling, Ironmaking & Steelmaking. 40 (2013) 360-368. https://doi.org/10.1179/1743281212Y.0000000048
[12] M. Perin, Y. Lim, G.A. Berti, T. Lee, K. Jin, L. Quagliato, Single and Multiple Gate Design Optimization Algorithm for Improving the Effectiveness of Fiber Reinforcement in the Thermoplastic Injection Molding Process, Polymers. 15 (2023) 3094. https://doi.org/10.3390/polym15143094
[13] S. Lee, J. Park, N. Kim, T. Lee, L. Quagliato, Extreme gradient boosting-inspired process optimization algorithm for manufacturing engineering applications, Materials & Design. 226 (2023) 111625. https://doi.org/10.1016/j.matdes.2023.111625
[14] J. Seitz, T. Moser, S. Fahle, C. Prinz, B. Kuhlenkötter, Transfer Learning Approaches In The Domain Of Radial-Axial Ring Rolling For Machine Learning Applications, (2023). https://doi.org/10.15488/15303
[15] S. Fahle, T. Glaser, A. Kneißler, B. Kuhlenkötter, Improving quality prediction in radial-axial ring rolling using a semi-supervised approach and generative adversarial networks for synthetic data generation, Production Engineering. 16 (2022) 175-185. https://doi.org/10.1007/s11740-021-01075-x
[16] T. Chen, C. Guestrin, XGBoost: A Scalable Tree Boosting System, içinde: Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, ACM, San Francisco California USA, 2016: ss. 785-794. https://doi.org/10.1145/2939672.2939785
[17] A. Hensel, S. Thilo, Kraft- und Arbeitsbedarf bildsamer Formgebungsverfahren, Deutscher Verlag für Grundstoffindustrie, 1978.
[18] D. Berrar, Cross-Validation, içinde: Encyclopedia of Bioinformatics and Computational Biology, Elsevier, 2019: ss. 542-545. https://doi.org/10.1016/B978-0-12-809633-8.20349-X
[19] Luca Quagliato, Johannes Seitz, Mattia Perin, Machine learning modeling for material science and manufacturing: overview and perspectives for the future, (t.y.).
[20] A. Parvizi, K. Abrinia, M. Salimi, Slab Analysis of Ring Rolling Assuming Constant Shear Friction, Journal of Materials Engineering and Performance. 20 (2011) 1505-1511. https://doi.org/10.1007/s11665-010-9824-9