热轧带钢多变量耦合下屈曲变形解析

李文梦, 匡萃葳, 陈扬, 吴豪, 彭文, 孙杰, 张殿华

钢铁 ›› 2024, Vol. 59 ›› Issue (5) : 104-115.

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钢铁 ›› 2024, Vol. 59 ›› Issue (5) : 104-115. DOI: 10.13228/j.boyuan.issn0449-749x.20230688
压力加工

热轧带钢多变量耦合下屈曲变形解析

  • 李文梦1, 匡萃葳1, 陈扬2, 吴豪3, 彭文3, 孙杰3, 张殿华3
作者信息 +

Analysis on buckling deformation of hot rolled strip under multivariable coupling

  • 李文梦1, 匡萃葳1, 陈扬2, 吴豪3, 彭文3, 孙杰3, 张殿华3
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摘要

对于热轧带钢板形控制技术,热轧过程中的带钢纵向屈曲问题是建立高精度板形控制模型的难点。因此,完善的带钢屈曲生成机理是建立高精度板形控制模型的必要条件,也是板形质量改进研究的重要基础。针对目前热轧带钢生产时产生的纵向屈曲变形问题,进行了详细的解析建模研究。首先,为了后续的建模计算更为简便,依据不同屈曲行为,使用高阶多项式来描述沿带钢横向分布的纵向应力场及复杂的屈曲模态。然后,在已获得多项式形式的纵向应力场及屈曲模态的基础下,通过将弹性薄板小挠度理论与能量驻值原理相结合来建立带钢屈曲模型。同时,为了使结果更为精确,贴合实际热轧带钢生产情况,对于临界屈曲的计算,本文创新性引入了三维瞬态温度场。此外,利用有限元软件ANSYS对纵向屈曲变形行为进行仿真试验,将有限元计算结果和解析计算结果进行误差计算,以验证解析模型的正确性。最后,分析了不均匀的温度场、张应力以及带钢几何尺寸等多因素耦合作用对临界屈曲的影响。该解析模型阐明了热轧带钢生产过程中在多变量耦合作用下形成平直度缺陷(屈曲变形)的内在机理,并且能够快速获得不同屈曲浪形下精准的临界屈曲应力,为热轧带钢的板形控制提供理论依据和数据基础。

Abstract

The establishment of a high precision strip shape control model for the longitudinal buckling phenomenon in the hot rolling process poses a challenging problem. Therefore, the perfect buckling mechanism of strip is the necessary condition for the establishment of high-precision profile control model, and is also an important basis for the study of profile quality improvement. The present study presents a comprehensive analytical modeling investigation on the longitudinal buckling deformation of hot rolled strip. Firstly, to facilitate subsequent modeling calculations, a high-order polynomial is employed to describe the longitudinal stress field and complex buckling modes along the strip based on different buckling behaviors. Subsequently, by combining the small deflection theory of elastic thin plates with the principle of energy standing value, a comprehensive buckling model for strip is established using the obtained polynomial representation of longitudinal stress field and buckling mode. Simultaneously, to enhance the accuracy and applicability of critical buckling calculation in hot rolled strip production, an innovative approach incorporating three-dimensional transient temperature field is introduced. Furthermore, ANSYS finite element software is employed to simulate longitudinal buckling deformation behavior and assess the discrepancy between finite element and analytical calculations for validation purposes. Finally, the influence of various factors such as non-uniform temperature distribution, tensile stress, and strip geometry on critical buckling is comprehensively analyzed. The proposed analytical model elucidates the underlying mechanism of flatness defects (buckling deformation) in hot-rolled strip production under the influence of multi-variable coupling. This model enables rapid determination of accurate critical buckling stress for different buckling wave shapes, thereby providing a solid theoretical and empirical foundation for shape control in hot rolled strip production.

关键词

热轧 / 带钢 / 浪形 / 临界应力 / 纵向屈曲

Key words

hot-rolled / strip / waves / critical stress / longitudinal buckling

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引用本文

导出引用
李文梦, 匡萃葳, 陈扬, . 热轧带钢多变量耦合下屈曲变形解析[J]. 钢铁, 2024, 59(5): 104-115 https://doi.org/10.13228/j.boyuan.issn0449-749x.20230688
LI Wenmeng, KUANG Cuiwei, CHEN Yang, et al. Analysis on buckling deformation of hot rolled strip under multivariable coupling[J]. Iron and Steel, 2024, 59(5): 104-115 https://doi.org/10.13228/j.boyuan.issn0449-749x.20230688

参考文献

[1] 邵健,何安瑞,陈雨来,等.热轧智能工厂构架设计与实践:有形与无形的统一[J].中国冶金,2022,32(1):1.(SHAO J, HE A R, CHEN Y L, et al. Design and practice of intelligent factory architecture for hot rolling: The unity of tangible and intangible[J]. China Metallurgy, 2022, 32(1): 1.)
[2] 李维刚, 石林, 刘玮汲. 热连轧带钢厚度缺陷溯源研究及应用[J]. 中国冶金, 2024, 34(1): 99.(LI W G, SHI L, LIU W J. Research and application of thickness defect traceability of hot-rolled strip[J]. China Metallurgy, 2024, 34(1): 99.)
[3] 张金飞,么洪勇,李子正,等.七机架热连轧机组板形综合控制技术[J].钢铁,2023,58(3):97.(ZHANG J F, MO H Y, LI Z Z, et al. Comprehensive control technology for plate shape of seven stand hot rolling mill[J]. Iron and Steel, 2023,58(3): 97.)
[4] 谢孟, 李维刚, 王优龙, 等. 热连轧带钢宽度封锁溯源研究及应用[J]. 中国冶金, 2023, 33(2): 121.(XIE M, LI W G, WANG Y L,et al. Research and application of width blockade tracing for hot-rolled strip[J]. China Metallurgy, 2023, 33(2): 121.)
[5] 陈超超. 热轧带钢精轧过程屈曲行为的研究[D]. 北京:北京科技大学,2015. (CHEN C C.Study on Buckling Behavior of Hot-rolled Strip Finishing Process[D]. Beijing:University of Science and Technology Beijing,2015.)
[6] 陈兵,何名成,杨洋.冷轧带钢屈曲失稳限的计算方法研究[J].轧钢,2016,33(1):27.(CHEN B,HE M C, YANG Y. Research on calculation method of buckling instability limit of cold-rolled strip[J].Steel Rolling,2016,33(1):27.)
[7] 孙文权,何安瑞,刘超,等.宽幅薄规格热轧带钢纵向屈曲变形行为解析研究[J].机械工程学报,2022,58(14):203.(SUN W Q, HE A R, LIU C, et al. Analytical study on longitudinal buckling deformation behavior of wide and thin hot-rolled strip steel[J]. Journal of Mechanical Engineering, 2022, 58(14): 203.)
[8] WANG D C, LIU H M, LIU J.Research and development trend of shape control for cold rolling strip[J]. Chinese Journal of Mechanical Engineering, 2017(30):1248.
[9] 张清东,卢兴福,张晓峰.具有初始翘曲缺陷冷轧薄带钢板形瓢曲变形行为研究[J].工程力学,2014,31(8):243.(ZHANG Q D,LU X F,ZHANG X F. Study on shape scoop deformation behavior of cold-rolled thin strip steel plate with initial warping defect[J].Engineering Mechanics,2014,31(8):243.)
[10] WANG S Z, KANG Y L, ZHU G M, et al.Influence of residual stress on shape of heavy-gauge, high-strength steel caused by cooling process after hot rolling[J]. Journal of Iron and Steel Research International, 2016(23):547.
[11] 闫磊, 齐春雨, 孙建华, 等. 连退平整机支撑辊剥落分析及辊形优化[J]. 中国冶金, 2023, 33(7): 124.(YAN L, QI C Y, SUN J H,et al. Spalling analysis and roll shape optimization of support roll for continuous annealing and temper mill[J]. China Metallurgy, 2023, 33(7): 124.)
[12] 靳皓越,孙杰,魏臻,等.基于有限元法的拉伸弯曲矫直过程板形控制分析[J].钢铁,2022,57(6):100.(JIN H Y, SUN J, WEI Z, et al. Analysis of plate shape control in tensile bending and straightening process based on finite element method[J]. Iron and Steel, 2022, 57(6): 100.)
[13] NIOI M, PINNA C, CELOTTO S, et al.Finite element modelling of surface defect evolution during hot rolling of silicon steel[J]. Journal of Materials Processing Technology, 2019(268):181.
[14] 彭艳,牛山.板带轧机板形控制性能评价方法综述[J].机械工程学报,2017,53(6):26(PENG Y, NIU S. Overview of evaluation methods for shape control performance of plate and strip rolling mills[J]. Journal of Mechanical Engineering, 2017,53(6):26.)
[15] 彭艳,刘宏民,张守刚,等.HC轧机板形板凸度控制策略的研究[J].钢铁,2002,37(4):35.(PENG Y, LIU H M, ZHANG S G, et al. Research on the control strategy of HC rolling mill strip shape and convexity[J]. Iron and Steel, 2002,37(4): 35.)
[16] 戴杰涛,张清东.冷轧薄板中浪板形缺陷的屈曲及后屈曲理论与轧制试验研究[J].机械工程学报,2011,47(2):44.(DAI J T, ZHANG Q D. Buckling theory and post-buckling theory and rolling test study of corrugated plate shape defects in cold-rolled sheet[J]. Journal of Mechanical Engineering,2011,47(2):44.)
[17] 戴杰涛,张清东,秦剑.薄宽冷轧带钢局部板形屈曲行为解析研究[J].工程力学,2011,28(10):236.(DAI J T, ZHANG Q D, QIN J. Analytical study on local plate buckling behavior of thin and wide cold-rolled strip[J]. Engineering Mechanics,2011,28(10):236.)
[18] 张清东,戴杰涛.带钢板形翘曲变形行为的仿真[J].北京科技大学学报,2011,33(8):1006. (ZHANG Q D, DAI J T.Simulation of warping deformation behavior of steel plates[J]. Journal of University of Science and Technology Beijing, 2011, 33(8):1006.)
[19] 卿伟杰,杨荃.冷轧带钢整体和局部屈曲及后屈曲的有限元分析[J].北京科技大学学报,2000(4):377.(QING W J,YANG Q. Finite element analysis of global and local buckling and post-buckling of cold-rolled strip[J].Journal of University of Science and Technology Beijing,2000(4):377.)
[20] 刘宏民,彭艳,褚宇鹏.板带轧制板形判别的条元法[J].燕山大学学报,2002(2):95.(LIU H M, PENG Y, CHU Y P. Strip element method for shape discrimination in strip rolling[J]. Journal of Yanshan University,2002(2):95.)
[21] 刘宏民,王英睿.模拟板带轧制三维变形22的流面条元法[J].机械工程学报,2003(7):94.(LIU H M,WANG Y R. Flow surface strip element method for simulating three dimensional deformation of plate and strip rolling[J]. Journal of Mechanical Engineering,2003(7):94.)
[22] WU H, SUN J, PENG W, et al.Analytical model of hot-rolled strip residual stress and flatness in run-out table cooling[J]. Applied Mathematical Modelling, 2023(120): 175.
[23] WU H, SUN J, PENG W, et al.Analysis of flatness and critical crown of hot-rolled strip based on thermal-mechanical coupled residual stress analytical model[J]. Applied Mathematical Modelling, 2024(126): 348.
[24] 昝现亮,王凤琴,刘子英,等.热轧带钢残余应力相关板形缺陷机理分析及攻关措施[J].中国冶金,2020,30(5):35.(ZAN X L,WANG F Q,LIU Z Y,et al. Mechanism analysis and tackling measures of plate shape defects related to residual stress of hot-rolled strip[J]. China Metallurgy,2020,30(5): 35.)
[25] YAN Y, WANG H B, LI Q, et al.Finite element simulation of flexible roll forming with supplemented material data and the experimental verification[J]. Chinese Journal of Mechanical Engineering, 2016(29):342.
[26] 张晓峰,卢兴福,张清东.薄宽带钢任意位置局部浪形屈曲变形行为分析[J].工程力学,2015,32(s1):33.(ZHANG X F, LU X F, ZHANG Q D. Analysis of local wave-shaped buckling deformation behavior at any position of thin wide band steel[J]. Engineering Mechanics,2015,32(s1):33.)
[27] 焦安杰,张盛攀,李燕春,等.轧制工艺对高强耐候钢板形控制的影响[J].中国冶金,2021,31(6):82.(JIAO A J, ZHANG S P, LI Y C, et al. Effect of rolling process on shape control of high-strength weathering steel[J].China Metallurgy,2021,31(6):82.)
[28] 杨利坡,王英睿,王英杰.热连轧精轧过程中带材瞬态温度场的精确计算[J].钢铁,2009,44(10):41.(YANG L P,WANG Y R,WANG Y J. Accurate calculation of transient temperature field of strip in the process of hot continuous rolling and finishing rolling[J].Iron and Steel,2009,44(10):41.)
[29] 艾铭杰,杜德志,白宇鹏,等.基于ANSYS的异种高强钢焊接温度场及应力场模拟分析[J].金属加工(热加工),2023(5):86.(AI M J, DU D Z, BAI Y P,et al. Simulation analysis of welding temperature field and stress field of dissimilar high-strength steel based on ANSYS[J]. Metal Processing(Hot Working),2023(5):86.)
[30] 张清东,刘赟赟,周晓敏,等.高温带钢的局部宽度内压屈曲及后屈曲分析[J].机械工程学报,2005(3):102.(ZHANG Q D, LIU Y Y, ZHOU X M,et al. Analysis of local width internal pressure buckling and post buckling of high temperature strip steel[J]. Journal of Mechanical Engineering, 2005(3):102.)

基金

中国五矿科技专项计划资助项目(2022ZXB03); 中国大学生创新创业培养计划资助项目(202310145026); 辽宁省应用基础研究计划资助项目(2022JH2/101300008); 兴辽英才计划资助项目(XLYC2203186)

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