热带钢轧机轧辊热变形的快速有限元模型

分析了解析法与简化方法的缺点，采用有限元法建立轧辊热变形计算模型.针对轧制过程中轧辊热变形计算数据特点，将计算任务分为负责静态数据准备的预计算和负责动态数据准备与热变形求解的更新计算，换辊时进行预计算，计算任意时刻的热变形时只需进行更新计算，计算量远小于标准有限元程序.根据特殊处理的计算流程，编写了基于轴对称有限元法的轧辊热变形程序，其计算结果与ANSYS结果一致，精度均高于简化方法约30%.自编轧辊热膨胀有限元程序计算精度高，耗时少，满足在线热膨胀预报要求. 

Finite element model for rapidly evaluating the thermal expansion of rolls in hot strip mills

The disadvantages of the analytical solution and the simplified method were analyzed and a thermal expansion model was established by the finite element method. Based on the data characteristics of the rolls' geometry in a rolling unit, the calculation task was divided into pre-calculation responsible for static data preparation and renewal calculation responsible for renewing dynamic data and thermal expansion. The pre-calculation was called only after roll change and the renewal calculation was called when the thermal expansion data was needed to be updated. This special tailored flow contributes to a much smaller computation complexity in comparison with standard finite element analysis. Furthermore, the corresponding program was compiled according to the tailored flow and its results are in agreement with those by ANSYS, with the accuracy of about 30% higher than the simplified method. Due to high accuracy and short calculation time, this home-made finite element analysis program is promising to be implemented in online applications for evaluating the thermal expansion of rolls.