Abstract
Aiming at the problem of load distribution during multi-pass cold rolling of nuclear zirconium alloy strip, the load distribution model with good plate shape is established by the self-adaptive particle swarm optimization (SAPSO) algorithm, considering the main constraint conditions including rolling force, reduction, and torque in cold rolling process. Based on the penalty function method transforming the constraint problem into the unconstrained problem, the particle swarm optimization algorithm (PSO) combined with self-adaptive inertia weight factor optimized the load distribution model is developed to improve the local search ability of the particle swarm optimization algorithm. Compared with the original nuclear zirconium alloy cold rolling schedule, the simulation results of load distribution based on the SAPSO algorithm can keep good plate shape in multi-pass cold rolling process with the high prediction accuracy. The industrial experiments demonstrate that the proportional crown difference value is consistent, and the plate shape flatness is good.
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The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.
References
Fuloria D, Kumar N, Jayaganthan R, Jha SK, Srivastava D (2017) An investigation of effect of annealing at different temperatures on microstructures and bulk textures development in deformed zircaloy-4. Mater Charact 129:217–233. https://doi.org/10.1016/j.matchar.2017.04.038
Peng W, Ding JG, Zhang DH, Zhao DW (2017) A novel approach for the rolling force calculation of cold rolled sheet. J Braz Soc Mech Sci Eng 39(12):5057–5067. https://doi.org/10.1007/s40430-017-0774-0
Guo HJ, Hao PF, Chen JY (2018) Based on support vector machine of cold rolling force prediction research [J]. International Conference on Computer Science and Software Engineering. https://doi.org/10.12783/dtcse/csse2018/24497
Poursina M, Rahmatipour M, Mirmohamadi H (2015) A new method for prediction of forward slip in the tandem cold rolling mill. Int J Adv Manuf Tech 78(9):1827–1835. https://doi.org/10.1007/s00170-015-6790-2
Gao L, Guo LW, Chen D (2013) Analysis of deformation resistance and friction coefficient of rolling force model. Steel Rolling 30(4):12–15. https://doi.org/10.3969/j.issn.1003-9996.2013.04.004
Xiong WT, Yu BJ, Sun L (2014) Improved particle swarm optimization of rolling schedule on 1420 mm 5-stand tandem cold strip mill. J Iron Steel Res 26(11):25–28. https://doi.org/10.13228/j.boyuan.issn1001-0963.20130325
Chen DN, Jiang WL, Wang YQ (2007) Optimization of rolling load distribution of cold tandem mill based on particle swarm optimization. China Mech Eng 18(11):1303–1306. https://doi.org/10.3321/j.issn:1004-132X.2007.11.011
Leboucher C, Shin HS, Siarry P, Ménec SL, Stéphane, Chelouah R, Tsourdos A (2016) Convergence proof of an enhanced particle swarm optimisation method integrated with evolutionary game theory[J]. Inf Sci 346:389–411. https://doi.org/10.1016/j.ins.2016.01.011
Bu HN, Yan ZW, Zhang DH (2019) A novel approach to improve the computing accuracy of rolling force and forward slip. Ironmak Steelmak 46(3):269–276. https://doi.org/10.1080/03019233.2017.1369681
Liu XB, Yuan GQ, Xiong ZY (2015) Study on cold rolled copper strips rolling force model of stone. Mach Des Manuf 1:62–65. https://doi.org/10.3969/j.issn.1001-3997.2015.01.017
Gong YJ, Li JJ, Zhou Y, Li Y, Chung SH, Shi YH (2017) Genetic learning particle swarm optimization. IEEE Trans Cybern 46(10):2277–2290. https://doi.org/10.1109/TCYB.2015.2475174
Ding JG, Hu XL, Jiao JM (2007) Application of mutation PSO algorithm and neural network in rolling force prediction, J Iron Steel Res, 19(12):56–59. CNKI: SUN: IRON.0.2007–12–014
Wei LX, Li XQ, Li Y, Yang JM (2010) Optimization design of cold tandem rolling schedule based on improved adaptive genetic algorithm. Chin J Mech Eng 46(16):136–141. https://doi.org/10.3901/JME.2010.16.136
Srinivas N, Deb K (1994) Muilti-objective optimization using nondominated sorting in genetic algorithms. Evol Comput 2:221–248. https://doi.org/10.1162/evco.1994.2.3.221
Cao JG, Xu XZ, Zhang J, Song MQ, Gong GL, Zeng W (2011) Preset model of bending force for 6-high reversing cold rolling mill based on genetic algorithm. J Cent South Univ Technol 18(05):1487–1492. https://doi.org/10.1007/s11771-011-0864-6
Chen JS, Li CS, Cao Y (2015) Development and application of explicit function model on rolling force for stainless steel in tandem cold rolling. China Metall. 25(3):6–12. https://doi.org/10.13228/j.boyuan.issn1006-9356.20140123
Luo H (2012) Single stand reversible cold rolling mill rolling schedule and its optimized design and realization. Northeast Univ. https://doi.org/10.7666/d.J0123666
Sun SY, Shen XY, Hu K, Dai XH, Sun JH (2010) Optimization method for load distribution of single-stand cold-rolled silicon steel based on particle swarm optimization. Anhui Metall. (01):27–29. CNKI: SUN:AHYJ.0.2010–01–011
Evans C, Jones NG, Rugg D, Lindley TC, Dye D (2012) The effect of deformation mechanisms on the high temperature plasticity of zircaloy-4. J Nucl Mater 424(1–3):123–131. https://doi.org/10.1016/j.jnucmat.2012.02.013
Wang JH, Xu L, Yan YL, Gu SS (2005) Improved particle swarm optimization and its optimization of hot strip mill load distribution. Control Decis 20(012):1379–1383. https://doi.org/10.3321/j.issn:1001-0920.2005.12.012
Cao JG, Xiong HT, Huang XH, Zhao QF, Li YL, Liu SQ (2020) Work roll shifting strategy of uneven “cat ear” wear control for profile and flatness of electrical steel in schedule-free rolling. Steel Res Int. 91(9):1900662. https://doi.org/10.1002/srin.201900662
Chen SZ, Zhang X, Peng LG (2014) Multi-objective optimization of rolling schedule based on cost function for tandem cold mill. J Cent South Univ 21(05):1733–1740. https://doi.org/10.1007/s11771-014-2117-y
Wang Y, Li CS, Jin X, Xiang YG, Li XG (2020) Multi-objective optimization of rolling schedule for tandem cold strip rolling based on NSGA-II - ScienceDirect. J Manuf Process 60:257–267. https://doi.org/10.1016/j.jmapro.2020.10.061
Cao JG, Wang T, Cao Y, Song ChN, Gao B, Wang B (2021) Cold rolling force model of nuclear power zirconium alloy based on particle swarm optimization. Int J Adv Manuf Technol 115(1):319–328. https://doi.org/10.1007/s00170-021-07210-3
Yang JM, Zhang Q, Che HJ, Han XY (2010) Multi-objective optimization for tandem cold rolling schedule[J]. J Iron Steel Res 17(11):34–39. https://doi.org/10.1016/S1006-706X(10)60167-7
Li Y, Lei F (2017) Robust multi-objective optimization of rolling schedule for tandem cold rolling based on evolutionary direction differential evolution algorithm[J]. J Iron Steel Res Int 24(08):795–802. https://doi.org/10.1016/S1006-706X(17)30119-X
Singh KA, Srinivas MKT (2004) Modelling the slab stack shuffling problem in developing steel rolling schedules and its solution using improved parallel genetic algorithms. Int J Prod Econ 91(2):135–147. https://doi.org/10.1016/j.ijpe.2003.07.005
Gao ZY, Tian B, Liu Y, Zhang LY, Liao ML (2021) Dynamics-based optimization of rolling schedule aiming at dual goals of chatter suppression and speed increase for a 5-stand cold tandem rolling mill [J]. J Iron Steel Res Int 28(2):168–180. https://doi.org/10.1007/S42243-020-00551-5
Funding
This work was supported by the National Science and Technology Major Project of China (2019ZX06002001-004), the Scientific and Technological Innovation Foundation of Shunde Graduate School of University of Science and Technology Beijing (BK19A006), and the Innovation Method Fund of China (2016IM010300).
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Cao Jian-guo: conceptualization, supervision, project administration.
Cao Yuan: investigation, validation, writing (review and editing).
Wang Tao: investigation, theoretical analysis, validation, writing (original draft).
Wang Lei-lei: investigation, validation, writing (review and editing).
Li Fang: supervision, validation.
Luo Qian-qian: supervision, resources, validation.
Zhang Peng-fei: supervision, resources, validation.
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Yuan, C., Jian-guo, C., Tao, W. et al. The cold rolling load distribution of the nuclear power zirconium alloy based on the self-adaptive particle swarm optimization algorithm. Int J Adv Manuf Technol 119, 6007–6016 (2022). https://doi.org/10.1007/s00170-021-08272-z
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DOI: https://doi.org/10.1007/s00170-021-08272-z