超薄快速铸轧过程轧制压力分布的数学模型与实验研究(Ⅱ)——轧制区轧制压力的解析计算模型

Modelling and Simulating Investigation of Rolling Pressure Distribution at Ultra thin High speed Roll Casting(Ⅱ)-Analytic Calculating Model of Rolling Pressure Distribution in Rolling Zone

超薄快速铸轧条件下轧制区内温度梯度很大 ,其轧制压力是温度的强耦合函数。本文在利用切块法推导出超薄快速铸轧过程轧制区的静力平衡微分方程的基础上 ,利用温度分布的线性假设建立了变形抗力关于位置坐标的简化模型 ,由此可根据铸轧条件下混合摩擦条件求出了各相应摩擦条件下的平衡微分方程的解析解 ,即获得轧制区轧制压力分布的解析计算模型 ,该模型同样适用于常规铸轧条件下的铸轧仿真研究。

The temperature gradient is very great in the rolling zone under the ultra thin high speed roll casting condition,and the rolling pressure is strongly coupled function of the temperature.The static equilibrium differential equation of the micro body in the rolling zone during the ultra thin high speed roll casting is deduced using the slab method.The equation is analytically solved according to the mixed friction condition during the roll casting process using the established simplified model of flow stress with relation to the position coordinate(X) under the hypothesis that the temperature distribution in the rolling zone is linear.Therefore,the analytic calculating model of rolling pressure distribution in the rolling zone is obtained.This model can also be applied to the conventional roll casting condition.