四辊冷轧机辊系参数优化设计理论及其应用

四辊冷轧机结构设计中关键问题是辊系参数的确定,建立了包括轧机重要,轧制功率,辊间压力分布特性,纵向刚度,横向刚度和辊缝形状改变能力指标的多目标函数优化设计新模型,以上海宝钢（集团）益昌薄板公司1219冷轧机为例,进行了应用研究。     

计算冷轧带钢工作辊接触压扁的Hitchcock公式的有限元修正

采用弹塑性大变形有限元法对板带冷轧过程中工作辊的接触压扁进行模拟,利用数值手段对轧辊弹性压扁后的形状曲线进行拟合,并对计算轧辊压扁半径的Hitchcock公式进行了修正,大幅提高了轧制力的控制模型精度。     

Mechanics of roll edge contact in cold rolling of thin strip

Simulation of cold rolling of thin strip due to roll edge contact with oil lubrication was performed successfully using a developed influence function method. Roll edge contact and related surface roughness was discussed in this paper. The calculated rolling force, intermediate force and work roll edge contact force increase significantly when the reduction increases. The strip profile becomes poor with a higher reduction, and the calculated rolling forces are consistent with the measured values. A modified edge shape of work roll determined from the roll edge contact length and roll edge flattening value is helpful to reduce the work roll edge wear and to extend the work roll life. Surface roughness and asperity of the rolled strip are characterized by surface profilometer and atomic force microscope. The research shows that the surface roughness reduces with a higher reduction or rolling speed. The effect of the strip width on surface roughness is not significant.     

基于辊缝动力学的板带轧机垂直振动的研究

板形与板厚是衡量板带轧制成品几何精度的两大指标。而与这些指标直接相关的是轧机机座垂直方向的振动。本文将机座与轧件作为一个系统来研究 ,建立了基于辊缝动力学的 ,以分析板带轧机机座垂直振动对板形及板厚影响为目的辊缝动力学模型 ,提出了振动模态对板形及板厚影响的指标。得出的结论是 :板形与板厚控制的实质是辊缝的控制 ,在轧制状态下辊缝不仅与静力学因素有关 ,而且在很大程度上取决于辊缝动力学因素。本文所建立的模型考虑了阻尼因素及由辊缝动力学模型确定的非线性轧制力 P,使模型能更真实的模拟现场实际情况     

Coupled dynamic modeling of rolls model and metal model for four high mill based on strip crown control

The crown is a key quality index of strip and plate,the rolling mill system is a complex nonlinear system,the strip qualities are directly affected by the dynamic characteristics of the rolling mil.At present,the studies about the dynamic modeling of the rolling mill system mainly focus on the dynamic simulation for the strip thickness control system,the dynamic characteristics of the strip along the width direction and that of the rolls along axial direction are not considered.In order to study the dynamic changes of strip crown in the rolling process,the dynamic simulation model based on strip crown control is established.The work roll and backup roll are considered as elastic continuous bodies and the work roll and backup roll are joined by a Winkler elastic layer.The rolls are considered as double freely supported beams.The change rate of roll gap is taken into consideration in the metal deformation,based on the principle of dynamic conservation of material flow,the two dimensional dynamic model of metal is established.The model of metal deformation provides exciting force for the rolls dynamic model,and the rolls dynamic model and metal deformation model couple together.Then,based on the two models,the dynamic model of rolling mill system based on strip crown control is established.The Newmark-β method is used to solve the problem,and the dynamic changes of these parameters are obtained as follows:(1) The bending of work roll and backup roll changes with time;(2) The strip crown changes with time;(3) The distribution of rolling force changes with time.Take some cold tandem rolling mill as subject investigated,simulation results and the comparisons with experimental results show that the dynamic model built is rational and correct.The proposed research provides effective theory for optimization of device and technological parameters and development of new technology,plays an important role to improve the strip control precision and strip shape quality.     

An innovative development of a four-high foil rolling mill

During foil or ultrathin strip rolling, elastic deflection variation of the work rolls at the contact surface with the strip causes non-uniform thickness distribution of the product in the width direction, which possibly causes a central wrinkling or an edge fracture on the product. This study developed a four-high prototype rolling mill, comprising two work rolls fabricated from an ultrastrength alloy. This prototype rolling mill was composed of a housing frame set, a roll set, a roll gap adjusting mechanism, and a power transmission system. The finite element analysis was used for determining the frame dimensions and work roll diameters. Several experimental rolling passes of stainless steel strips were conducted using this self-developed prototype rolling mill to achieve a 0.05-mm-thick foil product.     

Roll-pressure distribution and coefficient of friction in hot rolling by caustics

The optical method of reflected caustics was employed to investigate the variation of the coefficient of friction in the roll gap during strip rolling. Experiments have been carried out on an experimental rolling mill, using lead at room temperature, to obtain quantitative information about pressure distribution and friction, relevant to hot rolling, i.e. when frictional effects are pronounced. The rolls were made of Plexiglas. The normal and tangential pressure distribution and thence the coefficient of friction along the arc of contact at the outer edge of the strip were calculated from the caustic curves formed due to elastic deformation of the rolls, although the rolled strip was deformed plastically.An almost linear decrease of the friction coefficient from a maximum value, at the entry plane to the roll gap. to zero at the neutral plane and then a parabolic, tending to linear, increase of it, towards the exit plane, were predicted, in contradiction to what is up-to-now accepted in the praxis, that the friction coefficient remains constant during hot rolling.     

冷连轧机相对油膜厚度的测试与建模

为了分析冷连轧机支撑辊动压油膜轴承的油膜厚度变化对带钢厚度的影响,提高轧机AGC精度,进行了油膜厚度测试实验。对某1450mm五机架冷连轧机进行空压靠,在不同转速和轧制力条件下,记录液压缸缸位移变化值。根据实测数据,建立油膜厚度增量模型,运用Levenberg-Marquardt法拟合出该套轧机的油膜厚度模型参数。实测数据分析表明,油膜厚度随转速增加而增加,并随转速的进一步增加而变化趋势减缓。该研究为轧机厚度方程中油膜厚度补偿量的选取提供了可靠的依据。     

20辊轧机轧件截面形状与边部减薄预报软件开发

利用接触元双坐标法（CEM）建立了双AS—U—Roll系统森吉米尔轧机轧制过程中轧件及辊系变形行为的CEM函数矩阵,并开发了SM4SM软件。该软件能够很好地预报各种轧制条件下轧件截面形状、轧件边部减薄、轧制力、轧辊挠曲等功能。文中应用SM4SM,分析了第一中间辊锥角、锥度长度和窜辊长度对轧件截面形状和轧件边部减薄控制的影响。研究结果对冷轧过程控制轧件板形和边部减薄具有重要的参考价值。     

辊间压力分布影响因素的研究

四辊轧机辊间压力的分布将直接影响轧机负载辊缝形状,轧辊磨损情况以及轧辊强度的准确校核。本文采用分割单元法,研究了轧件宽度,轧辊直径,弯辊力,轧辊辊型,轧制压力分布等诸多因素对辊间压力分布的影响,给出了辊间压力分布规律,理论计算值与实测数据吻合较好,研究结果对于板形凸度计算及轧机设计有一定的借鉴作用。     

Mathematical model for cold rolling and temper rolling process of thin steel strip

A mathematical model for cold rolling and temper rolling process of thin steel strip has been developed using the influence function method. By solving the equations describing roll gap phenomena in a unique procedure and considering more influence factors, the model offers significant improvements in accuracy, robustness and generality of the solution for the thin strip cold and temper rolling conditions. The relationship between the shape of the roll profile and the roll force is also discussed. Calculation results show that any change increasing the roll force may result in or enlarge the central flat region in the deformation zone. Applied to the temper rolling process, the model can well predict not only the rolling load but also the large forward slip. Therefore, the measured forward slip, together with the measured roll force, was used to calibrate the model. The model was installed in the setup computer of a temper rolling mill to make parallel setup calculations. The calculation results show good agreement with the measured data and the validity and precision of the model are proven.     

Shape control of alloy steel rolled by sendzimir mill

In order to improve quarter waves occurred in the wide and thin gauged alloy steel rolled by 20-high sendzimir mill, a computer simulation based on the divided element method and an actual cold rolling experiment were carried out. Quarter waves were simulated by elastic deformation analysis of rolls considering bending deformation of back up rolls and the effect of control actuators on controllability of quarter waves were analyzed. Computer simulation showed that control actuators such as shifting of the 1st intermediate roll and crown adjustment of As-U-Roll in back up rolls were not effective to control quarter waves and that changing taper mode (both length and magnitude) at the barrel-end taper radius of the 1st intermediate roll was rather very effective. From an actual rolling experiment it was verified that quarter waves could be reduced remarkerably by changing taper mode of the 1st intermediate roll.     

STUDY ON STRIP AND ROLL DEFORMATION COUPLING OF COLD STRIP ROLLING ON 4-H MILL

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宽带钢冷连轧机综合耦合模型的建立与分析

宽带钢冷连轧过程中,板形、板厚和张力控制之间存在着很强的耦合关系,相互影响对方的调节功效。为了进一步提高控制精度,进行解耦设计实现解耦控制是十分有效的手段,而其前提和基础就是冷连轧机综合耦合模型的建立和分析。首先,运用轧制理论对轧制过程中板形、板厚和张力控制的各种影响因素进行了系统的分析,然后考虑执行内环的动态特性建立冷连轧机综合耦合模型,以定量地描述轧制过程中辊缝、弯辊力、本架轧辊速度、前架轧辊速度和出口厚度、出口凸度、出入口张力之间的耦合影响关系。最后,基于Matlab/Simulink工具,采用此耦合模型对某冷连轧机末机架的耦合特性进行仿真分析,指出对其进行解耦控制的必要性。     

HC轧机板形板凸度控制特性的计算机模拟

用三次样条流线条元法分析带材的三维塑性变形，用影响系数法分析辊系的弹性变形用，BP神经网络方法对轧后带材板形进行模式识别，将三者联立，对900mmHC轧机板形板凸度控制特性进行了计算机模拟。结果表明：HC轧机控制二次板形能力很强，对四次及更高次板形控制能力较弱；中间辊横移和工作辊弯辊对板形板凸度的控制需要相互配合。对板凸度的控制应着重在开始道次进行。     

Modi cation of Roll Flattening Analytical Model Based on the Plane Assumption

Roll flattening is an important component in the roll stack elastic deformation,which has important influence on controlling of the strip crown and flatness. Foppl formula and semi?infinite body model are the most popular analyti?cal models in the roll flattening calculation. However,the roll flattening calculated by traditional flattening models has a great deviation from actual situation,especially near the barrel edges. Therefore,in order to improve the accuracy of roll flattening,a new model is proposed based on the elastic half plane theory. The calculation formulas of roll flatten?ing are deduced respectively under the assumptions of plane strain and plane stress. Then,the two assumptions are combined through the method of introducing an transition coe cient,and the distribution rules of roll flattening for di erent rolling force,flattening width,roll length and roll diameter are analyzed by using the FEM analysis software Marc. Regarding the ratio of the length to roll end and the roll diameter as variable to fit the transition coe cient,the new model of roll flattening is established based on the elastic half plane theory. Finally,the transition coe cient is fitted to establish the model. Compared with the traditional models,the new model can e ectively improve the cal?culation deviation in the roll end,which has important significance for accurate simulation of plate shape,especially for the distribution of rolling force between rolls.     

六辊CVC宽带轧机轧辊接触压力横向分布特性的计算机仿真

用条元法分析带材的三维塑性变形,用影响系数法分析辊系的弹性变形,将二者联立,对1850mm六辊CVC轧机冷轧带材轧辊接触压力的横向分布进行了计算机仿真。结果表明,CVC中间辊横向移动、工作辊弯和中间辊弯辊等手段,对轧制压力的横向分布影响很大,对辊间压力的横向分布也有明显影响。在各种情况下,辊间压力都呈S形分布。     

弯辊系统在四辊轧机辊缝控制中的应用研究

以四辊轧机的弯辊系统为研究对象,利用有限元分析软件ANSYS研究弯辊力和辊间接触应力引起工作辊形状的变化,计算工作辊弯曲的最大变形量,并用最小二乘法对辊缝曲线进行拟合,为进一步计算有载辊缝形状提供可靠的理论依据。     

1420mm连轧机精细冷却系统的应用

在五机架冷连轧机中,末机架轧辊分段冷却能够改善板形,有效消除板形缺陷,精确的轧辊冷却能够有效释放轧辊内应力,延长轧辊使用寿命,提高轧制带材板形质量和表面清洁度。以1420mm冷连轧机的板形控制系统为依据,针对轧制极限薄板时轧机震动和出口带材温度高等现象,综合分析该精细冷却控制系统的功能与应用效果。     

Computer simulation of dynamic characteristics of tandem cold rolling process

A computer simulation program that can analyze the dynamic behaviors of tandem cold rolling process without laborious experiments in actual mill was developed. By using this simulation program, the stability and accuracy of strip thickness control system were evaluated for various disturbance such as hot band gage, roll eccentricity, and deformation resistance of hot rolled strip. Herein the simulation program was described, and the results of simulation on feedback and feed-forward Automatic Gage Control were quoted as examples showing the effects of analysis on dynamic characteristics.