VCR and ASR technology for profile and flatness control in hot strip mills

The roll contour pattern and variety of work and backup rolls in service and its effect on profile and flatness control performance in 1 700 mm hot strip mill at Wuhan Iron and Steel （Group） Corporation were tested and analyzed by the developed finite element models of different typical roll contours configurations. A rather smooth local work roll contour near strip edges and an increase in rolled length can be obtained by application of long stroke work roll shifting system with conventional work roll contours that is incapable of the crown control. In comparison with the conventional backup and work roll contours configuration, the crown control range by the roll bending force enhances by 12.79% and the roll gap stiffness increases by 25.26% with the developed asymmetry self-compensating work rolls（ASR） and varying contact backup rolls（VCR）. A better strip profile and flatness quality, an increase in coil numbers within the rolling campaign and a significant alleviated effect of severe work roll wear contours on performance of edge drop control are achieved by the application of ASR with crown control and wear control ability in downstream stand F5 and VCR in all stands of 1 700 mm hot strip mill.     

基于板形性能优化目标的支承辊辊形设计

研究了宽板带轧机辊形设计的原理和方法,提出了一种基于板形性能优化目标的支承辊辊形设计理念,并在某冷轧机组应用所设计的辊形,改善了支承辊磨损,提高了轧机的板形控制能力.     

Preset model of bending force for 6-high reversing cold rolling mill based on genetic algorithm

The hydraulic roll-bending device was studied, which was widely used in modern cold rolling mills to regulate the strip flatness. The loaded roll gap crown mathematic model and the strip crown mathematic model of the reversing cold rolling process were established, and the deformation model of roll stack system of the 6-high 1 250 mm high crown (HC) reversing cold rolling mill was built by slit beam method. The simulation results show that, the quadratic component of strip crown decreases nearly linearly with the increase of the work roll bending force, when the shifting value of intermediate roll is determined by the rolling process. From the first pass to the fifth pass of reversing rolling process, the crown controllability of bending force is gradually weakened. Base on analyzing the relationship among the main factors associated with roll-bending force in reversing multi-pass rolling, such as strip width and rolling force, a preset mathematic model of bending force is developed by genetic algorithm. The simulation data demonstrate that the relative deviation of flatness criterions in each rolling pass is improved significantly and the mean relative deviation of all five passes is decreased from 25.1% to 1.7%. The model can keep good shape in multi-pass reversing cold rolling process with the high prediction accuracy and can be used to guide the production process.     

Backup roll contour of a SmartCrown tandem cold rolling mill

SmartCrown was a new system developed by VAI for improving the strip profile and flatness control first applied in 1700mm tandem cold rolling mills at Wuhan Iron & Steel (Group) Corporation (WISCO). After tracing and testing, the application of the conventional crown backup roll matching the SmartCrown work roll of the production mill led to heavy and nonuniform wear, and the edge spalling of the backup roll often occurred. A 3-dimension finite element model of roll stacks was established, which was used to analyze the above-mentioned problems, and it was found that the main reason was the highly nonuniform contact pressure distribution between the work roll and the backup roll. A new FSR (flexible shape backup roll) was developed and applied in 1700mm tandem cold rolling mills. A lot of good actual effects of FSR, such as evident improvement in profile and flatness of strips,non-occurring edge spalling, wear uniform, and remarkable decrease in roll consumption were validated by long-term industrial applications.     

Comprehensive contour prediction model of work rolls in hot wide strip mill

The predictive calculation of comprehensive contour of work rolls in the on-line strip shape control model during hot rolling consists of two important parts of wear contour calculation and thermal contour calculation, which have a direct influence on the ac- curacy of shape control. A statistical wear model and a finite difference thermal contour model of work rolls were described. The comprehensive contour is the equivalence treatment of the sum of grinding, wear, and thermal contours. This comprehensive contour calculation model has been applied successfully in the real on-line strip shape control model. Its high precision has been proved through the large amounts of actual roll profile measurements and theoretical analyses. The hit rates (percent of shape index satisfying re- quirement) of crown and head flatness of the strips rolled, by using the shape control model, which includes the comprehensive contour calculation model, have about 16% and 10% increase respectively, compared to those of strips rolled by using manual operation.     

Roll shifting strategy with varying stroke and step in hot strip mill

A new roll shifting strategy with varying stroke and varying step was investigated. Two characteristic parameters including cat ear height and gap contour smoothness were introduced to assess the effect of shifting strategy on roll wear, and the relation between characteristic parameters and shifting strategy was established. Both varying stroke and varying step can reduce cat ear height and gap contour smoothness, so the shifting strategy with varying stroke and varying step is better than the one with either varying stroke or varying step. Based on the effect of shifting control parameters on characteristic parameters of roll wear, the selection principle of these shifting control parameters was gained. A case study was conducted to validate the proposed roll shifting strategy, reducing uncontrollable quartic loading gap contour, improving strip profile and extending rolling length of a rolling campaign.     

Analysis of the thermal profile of work rolls in the hot strip rolling process

A 2-dimension axisymmetric model was developed by the finite-difference method, which can be used to predict the transient temperature field and thermal profile of work rolls in the hot strip rolling process. To demonstrate the accuracy and reliability of the solution developed, the calculation results were compared with the production data of a 1700 mm hot strip rolling mill and good agreement was found between them. The effect of strip width and roll shifting on the thermal expansion of the work rolls was studied.It is found that the strip width has marked effect on the efficient thermal crown. Initially, when the rolling strip changes from narrow to wide, a bigger efficient thermal crown can be quickly achieved; afterwards, when the rolling strip changes from wide to narrow,not only the influence of uneven wear can be reduced but also the excessive efficient thermal crown can be avoided. It is also found that the work roll shifting has a determinate but not obvious effect on the reduction of the efficient thermal crown, and will make the strip shape unstable without being used properly.     

Work roll thermal contour prediction model of nonoriented electrical steel sheets in hot strip mills

The demands for profile and flatness of nonoriented electrical steels are becoming more and more severe. The temperature field and thermal contour of work rolls are the key factors that affect the profile and flatness control in the finishing trains of the hot rolling. A theoretic mathematical model was built by a two-dimensional finite difference to calculate the temperature field and thermal contour at any time within the entire rolling campaign in the hot rolling process. To improve the calculating speed and precision, some special solutions were introduced, including the development of this model, the simplification of boundary conditions, the computation of heat transfer coefficient, and the narrower mesh along the edge of the strip. The effects of rolling pace and work roll shifting on the temperature field and thermal contour of work rolls in the hot rolling process were demonstrated. The calculated results of the prediction model are in good agreement with the measured ones and can be applied to guiding profile and flatness control of nonoriented electrical steel sheets in hot strip mills.     

PC轧机辊系的三维建模与有限元分析

采用三维有限元法(ANSYS)建立PC轧机辊系的模型,并分析了PC轧机在不同工况下辊系弹性变形与工作辊/支撑辊的接触压力.计算结果表明,影响PC轧机轧件截面形状的主要因素是对辊交叉所产生的等效辊凸度.文中采用的建模与分析方法与其它方法相比,计算结果更为精确、可靠.     

UC轧机中间辊非对称弯辊改善辊间压力分布

为了改善UC轧机辊间压力不均匀分布问题,采用中间辊非对称弯辊系统替代原有对称弯辊系统.应用影响函数法计算辊系变形,同时考虑辊缝中金属横向流动对带钢出口张力横向分布的影响,通过迭代方法计算出中间辊两端施加不同弯辊力后的辊间压力分布、出口厚度横向分布与出口张力横向分布.理论分析和实际应用结果表明,中间辊非对称弯辊可以改善辊间压力分布不均,降低轧辊磨损和减少轧辊辊面剥落,且不会影响成品带钢的厚度和板形.     

中厚板轧机的板形控制

国内普通四辊中板轧机板形控制手段较少,控制质量精度不高。针对某中板改造项目,分析各种板形控制手段,建立适用于中厚板在线应用的板形和板凸度控制模型。根据这些模型,在考虑弯辊等多种板形控制手段的情况下,给出了适合现场应用的负荷分配流程图。应用结果表明：合理的规程分配、适当的弯辊力设定、良好的辊形和辊凸度配合,能使中厚板的板形得到最佳控制。     

Thermal Behaviors of Work Roll in Finishing Trains of Hot Rolling

In order to analyze the thermal field and thermal contour of work roll in finishing trains of hot rolling in rolling process, a quasi two-dimension implicit finite difference model is developed. To improve the calculating speed and precision, some special solutions are introduced, including the development of this model, the simplification of boundary conditions and the computation of heat transfer coefficients. The results show that these solutions of thermal behaviors of work roll are very much efficient and the model can be used as an on-line profile and flatness control model of large industrial mills..     

Backup roll contour in finishing trains of hot rolling based on hybrid genetic algorithm

On the basis of integrating two-dimensional varying thickness finite element method with hybrid genetic algorthm,a precise model was developed to design ideal backup roll contour(Varying Contact Backup Roll,inshort VCR) in finishing trains of hot rolling rapidly and efficaciously,Additionally,a lot of good actual effects of VCR,such as evident improvement of profile and flatness of strip,remarkable decrease of roll consume,excellent maneuverability and maintenance,and so on,were validated by long-tem industrial tests in hot rolling strip plant of Wuhan Iron and Steel Group Corporation(WISCO).     

非对称轧制力能参数与带钢张应力分布规律

为深入了解带钢轧制过程中非对称因素对轧制力能参数与带钢张应力分布的影响,应用ABAQUS非线性有限元软件对轧制过程进行二维建模及仿真分析,以轧辊驱动方式非对称、上下工作辊与带钢间接触摩擦润滑条件非对称以及存在异步轧制等3种非对称因素作为研究对象,计算并分析上述非对称因素及其程度对于轧后带钢内部张应力分布、轧制力以及轧制扭矩的影响规律,进而定量分析与比较3种非对称轧制因素对于轧制过程中的力能参数和厚向张应力分布规律的影响程度. 仿真计算表明：3种非对称轧制状态都会导致轧后带钢厚向张应力分布的不对称;3种非对称轧制状态都会明显改变轧制过程力能参数大小;与相应对称轧制状态相比,有些非对称因素可以不同程度地降低轧制力和轧制扭矩. 轧制过程中的非对称因素从不同的角度来分析,是利弊共存的.     

弯辊和串辊对带钢板形影响

基于有限元软件ANSYS建立了冷轧六辊轧机的三维弹塑性有限元参数化模型。将轧机实体模型转换成有限元模型,根据轧机的工作方式提炼出边界条件和载荷条件,施加在有限元模型上。参数化模型采用ANSYS参数化设计语言APDL编写。通过修改程序中的参数,计算分析了弯辊力、中间辊的串辊量以及带钢宽度等参数对带钢形状和辊缝的影响。计算结果表明:当带钢宽度小于1 300 mm时,调整弯辊力对带钢板形的改变较为明显;当带钢宽度大于1 700 mm时,调整弯辊力对改变带钢板形的作用变得非常小,此时通过连续可变凸度轧辊（CVC）的串辊来调节板形更有效。该结论与冷轧厂实践结论一致。     

Simulation of type selection for 6-high cold tandem mill based on shape control ability

A theoretical method for selecting strip rolling mill type that considered shape control ability was established using the figure alteration range that was worked by the alteration track of vector expressing strip＇s cross section （crown） to express the shape control ability of rolling mill. With the mathematical models and simulation software that were developed by the authors＇ own models, four types of mills were aimed, including HCM （6-high middle rolls shift type HC （high crown） -mill）, HCMW （6-high middle rolls and work rolls shift type HC-mill）, UCM （6-high middle rolls shift type HC-mill with middle roll bender） and UCMW （6-high middle rolls and work rolls shift type HC-mill with middle roll bender）, and the shape and crown control ability of every mill type was analyzed and compared. An appropriate arrangement mode of tandem mill was brought forward. The results show that UCMW mill is a perfect choice for controlling shape and crown, and the area of control characteristics curve of UCMW （or UCM） is twice than that of HCM, but UCM mill is also a good choice for its simple frame. In other word, the shape and crown controlling ability of UCMW mill is better than that of UCM mill, but the frame of UCM mill is simpler than that of UCMW mill. As for the final type of mill, should be synthetically decided by thinking over fund and equipment technology.     

干平整中工作辊与带钢表面粗糙度对摩擦系数影响的研究

针对干平整轧制过程中工作辊与带钢表面粗糙度对摩擦系数的影响仅能定性分析、不能满足生产需要的问题,经过大量的现场试验与理论研究,充分结合平整机组的设备与工艺特点,基于粗糙度的基本理论,根据干平整轧制过程中摩擦特点构造了反映工作辊及带钢表面粗糙度与摩擦系数之间一一对应关系的数学模型,提出了相应的模型计算策略,并将其应用到宝钢冷轧薄板厂1 220平整机组的生产实践,定量分析了工作辊及带钢表面粗糙度对摩擦系数的影响,有效地提高了轧制压力的预报精度与产品质量,取得了良好的使用效果,具有进一步推广应用价值。     

Gauge-meter model building based on the effect of elastic deformation of rolls in a plate mill

The calculation error of the gauge-meter model will affect the gap setting precision and the self-learn precision of rolling force. The precision of the gauge-meter model is strongly influenced by plate width, working roll radius, backup roll radius, working roll crown, backup roll crown, and rolling force. The influence rules are hard to get by measuring. Taking a conventional 4-h plate mill as the research subject, these influences were transferred into the calculation of roll deflection and flattening deformation. To calculate these deformations, the theory of the influence function method was adopted. By modifying the traditional gauge-meter model, a novel model of the effect of roll elastic deformation on the gap setting was built by data fitting. By this model, it was convenient to analyze the variation caused by the rolling condition. Combining the elastic deformation model of rolls with the kiss-rolls method, a gauge-meter model was put forward for plate thickness prediction. The prediction precision of thickness was greatly improved by the new gauge-meter model.     

一种高精度板带轧机的设想

轧辊和轧机的弹性变形是影响板带轧制时工作辊缝和平直度及厚度精度的关键因素;轧辊两端设置压下螺丝是产生轧辊弹性弯曲的根源。本文在理论分析的基础上提出了将压下螺丝从轧辊两端移至辊身中部的高刚度。高精度板带轧机的设想,并对其主要特点进行了探讨。     

WRS轧机工作辊磨损计算及板形调控分析

在热带钢连轧机设计及改造中采用WRS辊系作为下游机座可以增强机组的板形调控能力。从理论上分析了辊系在轧制中的磨损特性，工作辊磨损辊型的计算方法，根据实际轧制工况对其板形的调控、影响因素进行了定量分析。