Forced transverse vibration of rolls for four-high rolling mill

In order to investigate the forced transverse vibration of rolls under distributed draught pressure and moment of bending roll force, the forced transverse vibration model of rolls for four-high rolling mill was established. The work roll and backup roll were considered as elastic continuous bodies that were joined by a Winkler elastic layer. According to Euler-Bernoulli beam theory, the forced transverse vibration of rolls was analyzed based on modal superposition method. The forced vibration equations were established when the draught pressure and moment of bending roll force were imposed on the rolls respectively. Numerical modeling was made on 2 030 mm cold tandem rolling mill of Baoshan Iron and Steel Company. Simulation results show that when the work roll is only subjected to different forms of draught pressures, the vibration curves of work roll and backup roll are quadratic curves with amplitudes of 0.3 mm and 45 μm, respectively. When only the moments of bending roll force are imposed on the work roll and backup roll, the vibration curves of work roll and backup roll are quadratic curves, and the amplitudes are 5.0 and 1.6 μm, respectively. The influence of moment of bending roll force on the vibration of work roll is related with the bending roll force.     

Improvement on strip flatness of cold temper mills by modifying roll contour shape

A study on roll gap profile (strip profile) control was accomplished in a 1700 mm single-stand temper mill. Some critical problems such as the deviation of work roll contour caused by grinding and wear, the effectiveness of work roll bending were discussed. Using a finite element model, the effects of roll contours (ground and wear) on strip profile were investigated. The roll bending effect on strip thickness was also analyzed. It is pointed out that there are some special features of flatness control in the temper mill: during temper rolling, roll deformation is slight due to small rolling load, and the loaded roll gap profile mainly depends on work roll contour, while the backup roll has a little effect on gap crown; the effect of bending force on gauge can not be ignored due to the coupling between flatness control and gauge control. A new roll contour arrangement adaptable to the mill was presented and has been put into practical production. The application of the new set of rolls showed some good results: larger crown control range of work roll bender, higher rolling stability, better strip profile and flatness quality.     

六辊CVC轧机轧辊弯曲和压扁变形的有限元分析

采用非线性弹塑性有限元法,利用大型非线性有限元软件MSC.Marc建立了六辊CVC轧机轧制过程三维有限元仿真模型。模型将辊系弹性变形与轧件弹塑性变形耦合在一起,进行统一建模与分析。运用该模型分别改变工作辊弯辊力、中间辊弯辊力、中间辊横移量进行有限元模拟,得到了工作辊弯辊、中间辊弯辊、中间辊横移对六辊CVC轧机轧辊弯曲和压扁变形的影响规律。所建模型与分析结果可为六辊CVC轧机的板形控制研究提供理论数据与参考依据。     

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.     

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.     

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.     

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.     

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.     

Analysis of bending on the front end of sheet during hot rolling

The analysis of bending in finishing rolling was performed. An asymmetrical rolling force model was established, and the upper and lower neutral points were determined. Thc bending which resulted from the asymmetrical rolling force at the roll gap was studied and related flexibility equations were proposed according to elastic mechanics. Moreover, material mechanics was used to analyze the effects of temperature difference and self-weight on the bending out of the roll gap, and the flexibility equations were constructed. The main factors on bending were summed up, and the bending rule in the rolling could be obtained. In addition practical calculation was made with the production data of ribbon steel from Laiwu Iron ＆ Steel Group Co. Ltd.     

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.     

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.     

CVC轧辊辊形参数的确定

对CVC轧辊的辊形曲线进行数学解析,研究轧辊的轴向移动量与轧辊有效凸度的关系,推导辊形参数的理论计算公式,得到从工艺角度出发计算辊形系数A1的公式,并对某CSP厂CVC轧辊技术参数进行计算,提出其辊形参数的修正建议。     

铝合金6063在双辊连铸条件下变形特性的研究

通过双辊连铸条件下材料变形数学模型的建立，研究了铝合金在双辊连铸条件下的变形行为。定量分析了熔体流量，辊缝，凝固结束点位置对材料变形的影响。数学模型的计算结果表明，熔体流量对固相压力进而对轧制力产生极大的影响，流量的微小变动将引起轧制力很大的变化；连铸材料的变形抗力随凝固结束点位置的提高而增加。随辊缝的增大而减小。     

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.     

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。     

基于弹塑性变形理论的船体面板滚弯成形作业时间估算方法

为了准确估算船体面板滚弯成形作业时间,通过分析在滚弯过程中船体面板的弹塑性变化和滚弯成形后的最终状态,建立了滚弯成形最终状态下船体面板滚弯成形作业时间估算模型.与实测数据对比分析结果表明,基于弹塑性变形理论的总进给距离与实测进给距离无显著性差异,通过作业时间估算模型得出的理论作业时间与实测作业时间也无显著性差异而且相对误差都在10%以内(平均相对误差为5%).因此,基于弹塑性变形理论的船体面板滚弯成形作业时间估算模型合理且符合作业实际状况.     

Improvement of prediction model for work roll thermal contour in hot strip mill

Though high accuracy of the thermal contour was obtained while adopting finite element method, it could not meet the real-time requirement. One-dimensional finite difference method could realize real-time control in the case of neglecting both the circumferential and radical heat exchange, but the over-simplified modes resulted in poor accuracy. And two-dimensional full explicit difference was also limited in practical application since its time step was restricted to keep the model stable. Consequently, a new method of alternating direction finite difference was introduced and discussed in the model’s stability, calculating speed and precision. Specific work roll after one real rolling unit was researched, The result shows that error of temperature on work roll surface between measured and calculated values is within 5 °C. The influence of rolling rhythm and strip width on thermal crown was also studied. The conclusion is verified theoretically and practically that it can maintain absolutely stable and meet the online requirement.     

宽厚复合板热轧成形轧制力模型

为了有效提高宽厚复合板热轧成形质量,以不锈钢与低合金钢层状复合结构材料为研究对象,针对宽厚复合板结构复合及加工协同变形的技术要求,制定宽厚复合板热轧成形工艺路线,并对热轧宽厚不锈钢复合板成形轧制力模型进行研究.将热轧复合变形区分成Ⅰ、Ⅱ两个区段,并依据热轧过程中轧制区间内金属流动变形规律,确定各界面上摩擦切应力τ的方向,进而推导出热轧不锈钢复合板成形轧制力计算公式.研究结果表明:该轧制力模型可准确预测轧制力的大小,有效提高轧制力的计算精度.经轧制成形制造的不锈钢复合板满足设计技术要求,制定工艺路线合理,可用以指导生产实践.     

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。     

基于余弦速度场的厚板轧制力能参数建模

为建立一个预测精度可靠的轧制力模型,根据轧件变形时金属流动的特点提出了一个余弦速度场,并基于该速度场进行了相应的能量解析。该速度场能够严格满足体积不变条件、出入口速度边界条件以及几何方程,较好地满足了运动许可条件。建模过程中,基于分矢量内积加和法导出了轧制内部变形功率,解决了非线性Mises比塑性功率带来的积分问题。同时,基于该速度场也导出了摩擦功率、剪切功率的数学表达式。在此基础之上,依据刚塑性变分原理获得了轧制力能参数的解析模型。利用国内某厂现场轧制数据对建立的轧制力模型进行了验证。结果显示,各道次轧制力预测值与实测值的误差均在7.55%以内,具有较高的精度。将所建模型与经典的Sims模型和Tselikov模型进行了对比,也显示了较好的优越性。此外,为了研究厚板轧制过程中的参数变化规律,本文也先后分析了压下率、形状因子、摩擦因子、径厚比、轧辊半径对应力状态系数和中性点位置的影响。