李俊琛;黄旭涛;马国才;王军伟;潘吉祥;阮强;
LI Jun-chen;HUANG Xu-tao;MA Guo-cai;WANG Jun-wei;PAN Ji-xiang;RUAN Qiang;College of Materials Science and Engineering,Lanzhou Univ. of Tech.;Jiuquan Iron and Steel (group) Co.LTD;State Key Laboratory of Advanced Processing and Recycling of Nonferrous Metals,Lanzhou Univ. of Tech.;

• 1:兰州理工大学材料科学与工程学院
• 2:酒泉钢铁(集团)有限责任公司
• 3:兰州理工大学省部共建有色金属先进加工与再利用国家重点实验室

摘要(Abstract)：

精确的板形控制理论对提高板带轧制质量有重要意义,而辊缝的高效预测是板形控制理论的重要内容.针对复杂辊系的辊缝在线计算问题,给出一种高效的计算方法.该方法以在简单辊系中成熟应用的影响函数法为基础,结合有限元法中建立刚度矩阵思想,并通过矩阵迭代方式求解矩阵来预测辊缝.通过对辊间接触压力向量Ψ的前置处理,实现了高效的初值预设,新型预测模型的求解速度与精度进一步提高.将该预测方法与有限元法对比分析,发现该方法计算时间大大少于有限元法,但精度与有限元法相近,最大误差仅为1.6%,满足在线计算时的要求.
Accurate shape control theory is of great significance to improve the quality of strip rolling. At the same time, the efficient prediction of roll gap becomes an important part of the shape control theory. Aiming at the problem of online computation of roll gap in a complex roll system, this paper presents a new and efficient calculation method to predict the roll gap numerically. The method is based on the influence function method which is widely used in simple roll systems, and combined also with the idea of establishing stiffness matrix like that used in finite element method. The matrix can be solved by matrix iteration so as to predict the roll gap. Through the pre-processing of the contact pressure vector Ψ between rolls, the efficient presupposition of an initial value may be realized. Therefore, the efficiency and accuracy of the new prediction method are further improved. By comparing the proposed prediction method with the finite element method, it is found that the calculation time of this method is much less than that of the finite element method, while the accuracy approaches greatly to that of the finite element method. The maximum error resulting from this method is only 1.6%, which meets requirements of the on-line calculation indeed.

关键词(KeyWords)： 20辊轧机;辊系变形;影响函数法;有限元法;初值预设
roll mill 20;roll deformation;influence function method;finite element method;initial value preset

Abstract:

Keywords:

基金项目(Foundation): 甘肃省科技重大专项(17ZD2GB012)

作者(Author): 李俊琛;黄旭涛;马国才;王军伟;潘吉祥;阮强;
LI Jun-chen;HUANG Xu-tao;MA Guo-cai;WANG Jun-wei;PAN Ji-xiang;RUAN Qiang;College of Materials Science and Engineering,Lanzhou Univ. of Tech.;Jiuquan Iron and Steel (group) Co.LTD;State Key Laboratory of Advanced Processing and Recycling of Nonferrous Metals,Lanzhou Univ. of Tech.;

Email:

DOI:

参考文献(References)：

• [1] RUAN J H,ZHANG L W,GU S D,et al.3D FE modelling of plate shape during heavy plate rolling [J].Ironmaking & Steelmaking,2014,41(3):199-205.
• [2] LIU G R.A combined finite element/strip element method for analyzing elastic wave scattering by cracks and inclusions in laminates [J].Computational Mechanics,2002,28(1):76-82.
• [3] PENG Yan,LIU Hongmin.Study on increasing calculation precision and convergence speed of streamline strip element method [J].Journal of Central South University of Technology,2004,11(1):105-108.
• [4] AARTS L P,VEER P V D.Solving nonlinear differential equations by a neural network method [C].London:Springer,2001.
• [5] LI T V H,WHITLEY R J.Advances in the complex variable boundary element method [M].London:Springer,1998.
• [6] LANGER U,SCHANZ M,STEINBACH O,et al.Fast boundary element methods in engineering and industrial applications [M].Berlin Heidelberg:Springer,2012.
• [7] SCOTT R.The mathematical theory of finite element methods [M].London:Springer,2008.
• [8] RATH S,SINGH A P,BHASKAR U,et al.Artificial neural network modeling for prediction of roll force during plate rolling process [J].Materials and Manufacturing Processes,2010,25(1/2/3):149-153.
• [9] 彭艳,刘宏民.带材轧制过程应力及变形的计算机仿真 [J].机械工程学报,2004,40(9):75-79.
• [10] 汪朝晖,严育才,张耀兵,等.20辊森吉米尔轧机轧制过程中的辊系受力分析 [J].华中科技大学学报(自然科学版),2013,41(2):17-21.
• [11] YUAN Zhengwen,XIAO Hong,XIE Hongbiao.Practice of improving roll deformation theory in strip rolling process based on boundary integral equation method [J].Metallurgical and Materials Transactions A,2014,45(2):1019-1026.
• [12] ATKINSON K,HAN W.Theoretical numerical analysis [M].London:Springer,2005.
• [13] KIMENCE B,ERGVEN M E.Influence functions of the displacement discontinuity method for anisotropic bodies [J].Computational Mechanics,2005,36(6):484-494.
• [14] LEE W H.影响函数法在薄带冷轧与平整轧制过程模拟中的应用 [C].北京:中国钢铁年会.2003.
• [15] 陈树宗,彭良贵,王力,等.冷轧四辊轧机弹性变形在线模型 [J].中南大学学报(自然科学版),2017,48(6):1432-1438.
• [16] XIE Li,HE Anrui,LIU Chao.A rapid calculation method for predicting roll deformation of six-high rolling mill [J].Journal of Iron and Steel Research International,2018,25(9):901-909.
• [17] 秦剑,缪谦.基于影响函数法的多辊轧机辊系变形矩阵迭代法 [J].工程力学,2013,30(5):271-276.
• [18] 李俊琛,杨大巍,董雪娇,等.CRH5型动车组轮轨滚动接触应力及疲劳寿命的有限元仿真分析 [J].兰州理工大学学报,2017,43(6):16-21.
• [19] 李俊琛,冯瑞,黄旭涛.冷轧301L不锈钢板残余应力的数值模拟 [J].兰州理工大学学报,2019,45(3):11-15.
• [20] 吴琳强.钢筋混凝土二维非线性有限元分析的割线刚度法研究 [D].重庆:重庆大学,2006.
• [21] 文颖,李特,孙明文,等.基于增量割线刚度的平面梁几何非线性分析 [J].华中科技大学学报(自然科学版),2016,44(4):101-105,132.
• [22] Richard S.Varga.矩阵迭代分析 [M].2版,北京:科学出版社,2006.
• [23] 潘纯久.20辊轧机及高精度冷轧钢带生产 [M].北京:冶金工业出版社,2003.