基于边界积分方程法的六辊轧机辊系变形分析  

6-Hi Mill Deformation Analysis Based on Boundary Integral Equation Method

作　　者：员征文[1,2] 肖宏[1,2] 谢红飙[1,2] 

机构地区：[1]燕山大学国家冷轧板带装备及工艺工程技术研究中心,秦皇岛066004 [2]燕山大学机械工程学院,秦皇岛066004

出　　处：《机械工程学报》2013年第18期125-131,共7页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(51075353)

摘　　要：精确的板形控制理论对提高带钢质量具有重要意义,而辊间压扁理论是板形控制理论的重要组成部分。针对半无限体模型在计算辊间压扁时的误差问题,给出一种计算辊间压扁的新模型。应用有限元法模拟有限长度半无限体两侧面的位移场,建立侧面的位移衰减函数。基于边界积分方程法,得到有限长度半无限体在表面分布力作用下的数值解,从而建立求解有限长度半无限体的解析模型,并用有限元法验证该模型的准确性。基于该压扁模型建立新型六辊轧机辊系变形模型,所得结果与有限元法,半无限体模型和费普尔公式进行对比,发现新模型所得结果与有限元法更加接近。考虑板宽和窜辊量的影响,利用新模型与半无限体模型、费普尔公式进行对比计算,发现新模型所得辊间压力和压扁优于其他两模型,特别是在轧辊边部区域比其他两模型更符合实际。Precise plate shape control theory is significant to improve rolled strip quality, and roll flattening theory is a primary part of the plate shape theory. To improve the accuracy of roll flattening calculation based on semi-infinite body model, a new and more accurate roll flattening model is proposed, which is derived basing on boundary integral equation method. The lateral surface displacement field of the finite length semi-infinite body is simulated by using finite element method（FEM） and lateral surface displacement decay functions are established. Based on the new roll flattening model, a new 6-Hi mill deformation model is established and verified by FEM. The new model is compared with Foppl formula and semi-infinite body model in different plate width, roll shifting value. The results show that the pressure and flattening between rolls calculated by the new model are more precise than other two models, especially near the two roll barrel edges.

关 键 词：六辊轧机 辊系变形 有限长半无限体 边界积分方程 有限元法 

分 类 号：TG335[金属学及工艺—金属压力加工]