基于有限元法数值模拟的冷连轧弹性压扁模型的研究

在采用弹塑性有限元法模拟五机架四/六辊冷连轧轧制过程的基础上,采用拟合函数法得到轧辊弹性压扁后的辊形曲线函数,据此计算轧辊弹性压扁曲率半径。该模型与常用的Hitchcock公式相比,计算的压扁半径能使轧制力计算值更接近实测值,提高了轧制力的预设定精度。     

一个精确计算压扁接触弧长模型及其在冷连轧机上的应用

以弹性接触理论为基础,利用Hertz基本公式,同时考虑轧辊的弱性压扁变形和轧件的弹性回复变形,推导出一个精确计算压扁接触弧长的模型。与多个有代表性的模型之间进行了对比分析,模型与实际情况更加相符。利用本模型建立的轧制压力模型计算精度优于原轧制力模型。     

轧辊弹性压扁下冷轧轧制力数学模型的研究

在冷轧轧制中,轧辊会发生严重的弹性压扁,对轧制力计算产生影响。考虑轧辊弹性压扁,建立平均单位轧制力数学模型,有重要意义。以卡尔曼单位压力平衡微分方程与采利柯夫解为基础,建立平均单位轧制力数学模型。     

冷轧轧制力数学模型的研究

在冷轧薄板时轧辊会产生弹性压扁,对轧制力影响较大。本文作者以卡尔曼单位压力微分方程与采利柯夫解为基础,并考虑轧辊弹性压扁,将实际接触区划分不同的区域,根据不同区域的边界条件,建立了更准确的单位轧制压力的数学模型。该模型对实际生产具有一定理论意义和实用价值。     

考虑轧辊弹性压扁的冷轧轧制力数学模型研究

在冷轧轧制中轧辊会产生弹性压扁,对轧制力影响较大.本文以卡尔曼单位压力微分方程与采利柯夫解为基础,并考虑轧辊弹性压扁建立的单位轧制压力数学模型,具有一定理论意义和实用价值.     

超高强钢冷轧过程轧制力计算的改进模型

 为了解决采用圆弧模型计算超高强钢冷轧过程轧制变形区轧辊压扁曲线误差较大的问题,充分考虑到超高强钢的轧制特点,通过分析不同压扁半径下轧辊压扁曲线的变化规律,构造出新型轧辊压扁曲线函数模型,给出了该函数中轧制变形区接触弧长特性参数与轧辊压扁曲线特性参数的求解方法。基于此,根据弹塑性理论中的变形与应力关系,推导了入口弹性变形区、塑性压下变形区以及出口弹性变形区单位轧制压力分布计算过程,建立了超高强钢冷轧过程总轧制力计算模型。并将其推广应用到某钢厂2030冷连轧机组,验证了该模型的计算准确度。结果表明,超高强钢冷轧过程轧辊压扁曲线用二次函数表示,更能准确反映轧辊压扁状态,其计算结果与实际值具有较高的吻合度。同时,为冷连轧机组生产超高强钢产品极限轧制能力的评估与轧制规程的制定提供了理论依据。     

冷轧接触变形区长度计算公式的商榷

本文讨论了用代数运算直接决定轧辊弹性压扁时接触变形区的长度。其结果符合实测值,同图算法相比,误差不大于±5％。确定冷轧轧制力时,必须考虑在变形区中因轧辊弹性压扁而使变形区长度增大这一因素。在实践中,往往由于不能准确地决定出接触变形区的长度,而得不到比较准确的轧制力     

热轧薄板轧制压力实用计算公式

热轧薄板轧制压力实用计算公式推导。考虑轧辊弹性压扁确定平均单位压力。实用公式和理论公式的比较。复合诺模图及计算实例。     

冷轧带钢轧制力高精度快速仿真模型的研究

采用微分单元法，考虑了轧辊和轧件的弹性变形，导出了冷轧生产中的轧制压力模型，避免了复杂的微分方程求解。同时采用有限元法对经典轧辊压扁半径和变形区长度公式进行修正，汲取了有限元法的准确性和解析模型快速性的优点。此模型采用较小的自适应系数即可用于实时动态仿真。仿真结果与轧制压实测值吻合较好，该模型在冷轧生产中具有重要的意义。     

考虑轧件弹性变形的Hill轧制力显式公式

带钢的轧制力计算和轧辊的压扁计算互为条件 ,针对考虑轧件弹性变形的Hill轧制力公式和Hitchcock轧辊压扁公式 ,推导了它们的显式计算公式 ,从而避免了传统的迭代计算。     

中厚板轧机弹跳模型的数值分析和应用

针对普通4辊中厚板轧机将辊系弹性变形分解成3个部分：支撑辊挠曲变形、辊间压扁和工作辊压扁，并利用轧辊弹性变形的数值解法一影响函数法对这3部分变形进行了分析，得出了轧辊半径、轧辊凸度、轧件宽度和轧制力等因素对辊系弹跳的影响规律，并提炼出相应的高精度回归模型。同时对传统轧机弹跳模型进行改造，提出更加完备的轧机弹跳模型。利用该模型可以很方便地计算轧辊辊径、凸度和轧件宽度对轧机弹跳的影响。通过与X射线测厚仪测试结果相比较可知，模型预测误差小于0．12mm，有利于负公差轧制。     

Roll Wear Evaluation of HSS,HiCr and IC Work Rolls in Hot Strip Mill

While it is acknowledged that roll wear is one of the most challenges to hot strip mills (HSM), very few studies which detail an exact prediction model have been published. The aim of this work is to evaluate and compare two prediction models with measured roll wear. The first prediction model, model 1, developed for a plate mill, was modified to use in strip rolling process. The second prediction model, model 2, is a simplified on‐line model. Data of two hot strip mills were used to investigate the influence of different rolling schedules. The rolls and strip properties were described and the rolling conditions were detailed. The influence of hot rolling factors, such as strip strength, roll grades, rolling temperature, rolling force, reduction and contact length, were also studied. When rolling with different work roll materials and strip grades, the modified prediction model has better prediction accuracy than the simplified model. The accuracy of both models becomes better at higher roll wear > 150 μm. HSS work rolls were confirmed to exhibit improvement of roll wear in comparison with HiCr rolls, the wear resistance was 3 to 4 times better. The influence of strip grade on roll wear was shown to be significant, with higher accuracy of the regression statistics for rolling with similar strip grades and lower regressed accuracy for rolling with mixed strip grades. The roll wear was evaluated at the centre of the barrel.     

Evaluation on some important force models for cold strip rolling

To improve the accuracy of rolling force prediction, some important force models were evaluated through applied computation for cold rolling of low carbon steel and aluminum alloy according to measured data on lab mill. The effects of model structure and three important variables ‐ flow stress, contact length and friction coefficient ‐ on the precision of computed force were quantitatively studied. Flow stress was measured with plane‐strain compression test, contact length was based on elastic flattening of work‐roll by Hitchcock, and friction‐coefficient was determined by rolling strain and numerical iteration. In steel rolling Bland & Ford integration model and Bryant & Osborn algebraic equation are better in accuracy than Ekelund and Parkins. In aluminum rolling all the models produce large deviations ΔF_R = 10–20% if flow stress, contact length and friction coefficient are determined with the same method as steel rolling. The elastic deformation of aluminum strip is now taken into account for its low elastic modulus. An effective method to determine plastic and elastic contact has been developed in this investigation. The accuracy of force computation is obviously improved for aluminum rolling.     

Experimental and theoretical analysis of roll flattening in the deformation zone for ultra-thin strip rolling

For ultra-thin strip rolling, the conventional rolling force models are no longer applicable. To obtain accurate rolling force in the shape and gauge control process, Fleck proposed a new roll flattening model. In this study, experimental analysis, finite element simulation, and theoretical analysis were conducted to evaluate the Fleck model. The experiments and simulations show a clear neutral zone in the deformation zone with decreasing strip thickness. The finite element simulation results show that the proportion of the elastic unloading zone is small, when an elastic unloading phenomenon appears in the neutral zone. Thus, to simplify the rolling force model, the effect of an elastic zone could be ignored. Based on this finding, we develop a rolling force model with quick calculation speed, high precision, and convenient online application. Finally, the accuracy of the simplified model is verified by the measured rolling force.     

Simplified Weighted Velocity Field for Prediction of Hot Strip Rolling Force by Taking into Account Flattening of Rolls

The weighted velocity field was simplified for analysis of hot strip rolling. Using the field and GM （geometric midline） yield criterion, the deformation power, friction power and shear power were obtained respectively. Summing the partial power contributions, the total deformation power for strip rolling was presented. Then, by minimizing the power function, the rolling force was obtained; meanwhile, considering the effect of roll elastic flattening, iterative calculation of the roll radius was carried out until the radius was convergent. On line data were corn pared with the calculated results to verify the model accuracy. It was indicated that the calculated rolling forces were basically in agreement with the measured ones since the maximum error was less than 10.0%. Moreover, the effects of various rolling conditions such as thickness reduction, friction factor and shape factor, upon separating force, location of neutral angle, and stress state coefficient were discussed systematically.     

Influence of roll geometry and strip width on flattening in flat rolling

The size of local roll flattening and its distribution along the direction of the roll axis in flat rolling were calculated by means of 3-dimensional finite element method. For analysis of elastic flattening deformation of the roll stack the well-known classical and analytical solutions are usually employed which were derived from elastic half space theory or two dimensional contact theory. By comparison of results from both the different methods the validity of the classical formulae was examined. Some of the formulae are more appropriate for calculating local flattening along the work roll/strip interface, however, they may result in a great deviation in calculating the flattening along the work roll/ back-up roll interface, especially for the back-up roll. Using the Fe model the influence of roll geometry and strip width under a specific rolling force on the flattening was taken into account, which is difficult to be treated with classical models.     

极薄带轧制变形区轧辊压扁试验与有限元模拟

 极薄带在轧制及平整过程中,工作辊的弹性压扁对轧制压力的分布有很大影响,传统的轧制力模型已经不再适用。为了在极薄带板形板厚控制过程中得到准确的轧制力,Fleck提出了新的轧辊压扁模型。针对Fleck模型进行试验研究,同时进行有限元模拟分析。试验过程中使用合金工具钢轧辊,轧制不同厚度的轧件,通过显微镜测量变形区各部位的厚度,得到变形区轧辊的近似轮廓形状。试验与有限元模拟结果表明,随着轧件厚度的减小,变形区出现了明显的中性区,但是很难出现Fleck模型中提到的弹性卸载区,因此计算极薄带轧制力时可以忽略中性区内的弹性卸载区以简化轧制力模型。