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卡尔曼方程是研究单位压力分布以及总轧制压力的基础。前人都是在各种假定条件下对卡尔曼方程进行求解,推出各自的压力公式。本文是用实验的方法测定变形区内各参数的实际变化规律,如变形抗力沿接触弧长度的分布规律,辊面和轧件之间摩擦系数沿接触弧长度的分布规律即数学模型。将这些模型(几何形状模型,变形抗力模型,摩擦系数模型)代入卡尔曼方程。借用电子计算机去寻求卡尔曼方程在特定条件下的数值解,以提高轧制压力的计算精度。本数值解法可供轧制机理的研究参考。
The Kalman equation is the basis for studying the pressure distribution in the unit and the total rolling pressure. The predecessors all solved the Kalman equation under various assumptions and introduced their own stress formulas. In this paper, the actual variation of each parameter in the deformation zone is determined experimentally. For example, the distribution law of the deformation resistance along the contact arc length, the distribution law of the friction coefficient along the contact arc between the roller and the rolling stock is the mathematical model. These models (geometric model, deformation resistance model, friction coefficient model) into the Kalman equation. Using computer to seek the numerical solution of the Kalman equation under certain conditions, in order to improve the calculation accuracy of the rolling pressure. The numerical solution for rolling mechanism of reference.