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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。
In the condition of ultra-thin rapid casting and rolling, the temperature gradient in the rolling zone is very large, and the rolling pressure is a strong coupling function of the temperature. Based on the linear hypothesis of temperature distribution, a simplified model of deformation resistance about position coordinates is deduced based on the dicing method to deduce the static equilibrium differential equation in the rolling zone of ultra-thin rapid casting and rolling process. Under the conditions of mixed friction conditions, the analytical solutions of the equilibrium differential equations under the corresponding friction conditions are obtained, ie, the analytical model of the rolling pressure distribution in the rolling zone is obtained. The model is also applicable to the simulation of the cast-rolling simulation under the conventional casting and rolling conditions .