作　　者： ; ; ;

机构地区： 东北大学材料与冶金学院轧制技术及连轧自动化国家重点实验室

出　　处： 《鞍钢技术》 2010年第5期1-6,共6页

摘　　要： 轧制过程奇异点的存在使得求解不易收敛,是有限元求解轧制过程问题的难点之一。提出了采用双速度点模型解决第一类奇异点问题和相对滑动速度抛物线模型解决第二类奇异点问题。以某钢厂实际轧制数据为例,分析比较了奇异点处理方法对速度场以及计算时间和迭代次数的影响。当单元数从200增加到2 000时,采用双速度点模型处理第一类奇异点问题时计算时间和迭代收敛步数减少8%～67%,采用相对滑动速度抛物线模型处理第二类奇异点问题时计算时间和迭代步数减少15%～61%。双速度模型和抛物线模型处理奇异点方法加快了计算速度并改善了求解的收敛性。 The singular point existing during the rolling which make the solution iterative divergence is one of the problems for the solution of the rolling process by FEM.Double velocity point model and the parabola model of relative slip velocity are proposed to solve type 1 and type 2 singularity points respectively.Taking the actual rolling data from a certain mill as an example,the influence of the calculating methods of the singularity point on the velocity field and calculating time as well as iteration step are analyzed based on comparing results.The results show that for the element numbers from 200 to 2000,the calculating time and iteration step are reduced by about 8%～67%,and for treating type 1 singular points by the double velocity model,and the iteration step and calculating time are reduced by 15% to 61% while treating type 2 singular points by the parabola model of relative slip velocity.And thus the calculating speed is increased and the convergence of solution is improved by the double velocity model and parabola model for treating the singular points.

关 键 词： 有限元法 刚塑性有限元 轧制 奇异点 收敛性

领　　域： [金属学及工艺]