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热轧带钢多变量耦合下屈曲变形解析

Analysis on buckling deformation of hot rolled strip undermultivariable coupling
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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。 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.
作者 李文梦 匡萃葳 陈扬 吴豪 彭文 孙杰 张殿华 LI Wenmeng;KUANG Cuiwei;CHEN Yang;WU Hao;PENG Wen;SUN Jie;ZHANG Dianhua(School of Information Science and Engineering,Northeastern University,Shenyang 110819,Liaoning,China;School of Materials Science and Engineering,Northeastern University,Shenyang 110819,Liaoning,China;State Key Laboratory of Rolling Technology and Continuous Rolling Automation,Northeastern University,Shenyang 110819,Liaoning,China)
出处 《钢铁》 CAS CSCD 北大核心 2024年第5期104-115,共12页 Iron and Steel
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)。
关键词 热轧 带钢 浪形 临界应力 纵向屈曲 hot-rolled strip waves critical stress longitudinal buckling
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