Four factor factorial design on residual curvatures of metal round bars in cross-roll straightening process
Published 2025-12-15
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Keywords
- Roller Diameter,
- Straightness,
- Helix Angle,
- Residual Curvature,
- Factorial
How to Cite
Copyright (c) 2025 Journal of Production Engineering

This work is licensed under a Creative Commons Attribution 4.0 International License.
Abstract
Straight round bars are widely used as raw materials in numerous industrial applications; however, they are frequently delivered in a bent condition, making straightening a necessary preparatory step to ensure consistent product quality. Achieving acceptable levels of residual curvature after straightening is essential, as excessive deviation can affect subsequent machining and assembly processes. This study explores the use of statistical Factorial Design to support decision-making and establish reliable quality criteria related to residual curvature. The applicability of Three-Factor and Four-Factor Factorial Designs is assessed to determine the influence of key process parameters and their interactions on straightening performance. The results provide insights that can help improve process optimization and support the selection of bar lots that meet required curvature tolerances.
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References
- Kemshall, G. E. (1974). Bar straightening and bending equipment. In Light Bar and Section Mill Technology. Steel Times, London. Available online: https://www.proquest.com/openview/0474cc39b568af3f9ff0866b6ed2102f/1.pdf
- Tokunaga, H. (1961). On the roller straightener. Bulletin of the J.S.M.E., 4(15), 605–. https://doi.org/10.1299/jsme1958.4.605
- Yu, T. X., & Johnson, W. (1982). Estimating the curvature of bars after cross-roll straightening. Proceedings of the 22nd International MTDR Conference, 517. https://doi.org/10.21275/SR22618185633
- Talukder, N. K., Singh, A. N., & Johnson, W. (1990). Cross-roll straighteners and their performance. Journal of Materials Processing Technology, 22, 203–212. https://doi.org/10.1016/0924-0136(90)90033-Q
- Das Talukder, N. K., & Singh, A. N. (1991). Mechanics of bar straightening, Part 2: Straightening in cross-roll straighteners. Journal of Manufacturing Science and Engineering, 113, 228–232. https://doi.org/10.1115/1.2899683
- Li, K.-Y., Chen, C.-K., & Yang, S.-C. (1999). Profile determination of a tube-straightening roller by envelope theory. Journal of Materials Processing Technology, 94, 157–166. https://doi.org/10.1016/S0924-0136(99)00089-8
- Paech, M. (2001). Roller straightening process and peripherals. Wire Journal International, 2, 76–82.
- Paech, M. (2008). Advanced semi-automatic straightening technology. Wire Journal International, 74–75.
- Kato, M., Hasegawa, A., Sugyo, S., Nakamura, H., Kobayashi, M., & Morimoto, Y. (2014). Straightening technology of round bars using 2-roll rotary straightener. Procedia Engineering, 81, 233–238. https://doi.org/10.1016/j.proeng.2014.09.156
- Dvorkin, E. N., & Medina, F. M. (1989). Finite element models for analyzing the straightening of steel seamless tubes. Journal of Engineering for Industry, 111, 351–355. https://doi.org/10.1115/1.3188771
- Mischke, J., & Jonca, J. (1992). Simulation of the roller straightening process. Journal of Materials Processing Technology, 34, 265–272. https://doi.org/10.1016/0924-0136(92)90116-A
- Macura, P., & Petruska, J. (1996). Numerical and experimental simulation of pass rolling. Journal of Materials Processing Technology, 60, 55–60. https://doi.org/10.1016/0924-0136(96)02307-2
- Wu, B. J., Chan, L. C., Lee, T. C., & Ao, L. W. (2000). Precision modeling of bars produced in two cross-roll straightening. Journal of Materials Processing Technology, 99, 202–206. https://doi.org/10.1016/S0924-0136(99)00421-5
- Mutrux, A., Berisha, B., Hochholdinger, B., & Hora, P. (2008). Numerical modelling of cross-roll straightening. Metallumformung, 7, LS-DYNA Anwenderforum, Bamberg.
- Tian, Y., Huang, Q., & Li, J. (2010). Numerical analysis of pressure straightening process for high-pressure boiler tubes. Applied Mechanics and Materials, 37–38, 723–726. https://doi.org/10.4028/www.scientific.net/AMM.37-38.723
- Song, H., Wang, P. L., Fu, L. H., Chen, M., & Wang, Z. Q. (2010). Optimization of straightening regulation for heavy rail compound roll straightening. Advanced Materials Research, 102–104, 227–. https://doi.org/10.4028/www.scientific.net/AMR.102-104.227
- Yali, Y., & Herong, J. (2010). Three-roller curvature scotch straightening mechanism study and system design. Energy Procedia, 16, 38–44. https://doi.org/10.1016/j.egypro.2012.01.008
- Roy, S., & Pal, A. K. (2022). Theoretical approach on two factorial design on residual curvature of bar straightening in cross-roll arrangements. Journal of Production Engineering, 25(2). https://doi.org/10.24867/JPE-2022-02-030
- Ren, J., Zhou, J., Liu, X., Cheng, X., & Xie, Y. (2025). Straightness analysis and parameter optimization of rotary hub steel straightening machine. Ironmaking & Steelmaking. https://doi.org/10.1177/03019233251356194
- Das Talukder, N. K., & Singh, A. N. (1991). Mechanics of bar straightening, Part 1: General analysis of straightening process. Journal of Manufacturing Science and Engineering, 113, 224–227. https://doi.org/10.1115/1.2899682
