立轧对称-反对称抛物线狗骨模型轧制力的解析

Analysis of Rolling Forces About Symmetric and Anti-Symmetric Parabola Dog-Bone Model in Vertical Rolling

为提高热轧产品质量,必须保证热轧带钢宽度尺寸精度,生产中多采用在粗轧机组处安装立辊轧机来进行控制,但立轧后板坯横断面会产生狗骨形状.首次建立了立轧对称-反对称抛物线狗骨函数模型和运动许可速度场.使用刚塑性第一变分原理,采用变上限积分得到立轧时总功率泛函和轧制力的解析解.将轧制力解析结果与有限元仿真值进行比较,误差在3%以内,与Yun模型比较误差不大于6.3%.采用本文模型预测现场轧制力的精度良好,可以满足现场控制要求.

To improve the quality of hot rolling products,the width precision of the hot rolling strip must be guaranteed. Vertical mill is usually installed in the roughing trains to control the width in actual production processing,but the cross section of the strip formed as a dog-bone shape after vertical rolling. The symmetric and anti-symmetric parabola dog-bone function model and kinematically admissible velocity field in the vertical rolling are firstly proposed in present paper. Using the first variation principle of rigid-plastic material,analytical solutions of the total power functional and rolling force for the vertical rolling are obtained using variable upper limit integration. The error of the rolling force obtained above compared with that of FEMsimulation result is within 3%,while is less than 6. 3% compared with that obtained by Yun＇s model. The precision can satisfy the requirement of production control using this anti-symmetric parabola model to predict the rolling force in a strip rolling plant.