摘要
针对采用嵌套循环结构的传统影响函数法中计算时间长、结果不易收敛,使用浮动坐标描述轧辊变形的协调关系,带钢与工作辊、工作辊与中间辊以及中间辊和支撑辊间中心压扁量需要假设,半辊系建模难以合理模拟窜辊引起的辊缝倾斜等问题,在传统影响函数法的基础上,重构了影响函数法的计算流程,将轧后厚度分布作为已知量,将辊间压力和中心压扁量作为直接变量,通过添加轧制力约束方程,构建了描述辊系变形的矩阵,提出了一种求解辊系弹性变形的整体矩阵迭代法,用于快速计算不同工况下的轧辊弹性压扁与辊间接触压力。详细描述了新方法设计思路、计算流程以及注意事项;计算实例表明:新方法相对传统影响函数法减少了循环层数,计算时间显著缩短,并可以针对非对称工况进行分析,与不同工况的有限元分析结果对比,验证了该方法的可靠性,但目前该方法不适合于常规工艺参数对轧制影响规律的研究,仍有一定的改进空间。
Aiming at the problems existing in the traditional influence function method based on the nested loop structure,such as long calculation time,difficulty in result convergence,the necessity of using floating coordinate system to describe the coordination relationship of roll deformation,the need for assumptions on the central flattening amount between the strip and work rolls,between work rolls and intermediate rolls as well as between intermediate rolls and backup rolls,and the difficulty of reasonably simulating the roll gap inclination caused by roll shifting via half roll system modeling,the calculation process of the influence function method was reconstructed,based on the traditional influence function method taking the post-roll thickness distribution as a known quantity and the inter-roll pressure and center flattening as direct variables.By adding rolling force constraint equations,a matrix describing roll system deformation was constructed.A global matrix iteration method for solving the roll system elastic deformation was proposed,which can be used to rapidly calculate roll elastic flattening and inter-roll contact pressure under different operating conditions.The design ideas,calculation process,and precautions of the new method were described in detail.Calculation examples show that the new method reduces the number of loops compared to the traditional influence function method,significantly shortens the calculation time,and can analyze asymmetric operating conditions.The reliability of the method is verified comparing with finite element analysis results under different operating conditions.However,the method is currently not suitable for studying the influence of conventional process parameters on rolling,and there is still room for further improvement.
作者
魏臻
吴海丹
孙杰
彭文
张殿华
WEI Zhen;WU Hai-dan;SUN Jie;PENG Wen;ZHANG Dian-hua(State Key Laboratory of Digital Steel,Northeastern University,Shenyang 110819,China;Guangzhou Baolite Hydraulic Technology Co.,Ltd.,Guangzhou 510700,China)
出处
《塑性工程学报》
北大核心
2026年第3期260-272,共13页
Journal of Plasticity Engineering
基金
中国五矿科技专项计划项目(2022ZXB03)
国家自然科学基金资助项目(U21A20117)
辽宁省人工智能重大科技专项(2023JH26-10100002)。
关键词
冷轧
影响函数法
辊系弹性变形
矩阵迭代
cold rolling
influence function method
elastic deformation of roll system
matrix iteration
