Mill chatter is a major restriction in the high-speed rolling of high-strength and thin strips. To maintain mill stability, the friction coefficient must be kept within a certain range. Unfortunately, there is no model to calculate the lower limit of the friction. In this paper, a new model is developed to capture the minimum friction coefficient. This model is proposed based on mixed lubrication theory and monotonicity analysis in the friction curve. The verification results showed that the established model could accurately predict the minimum friction and the friction balance in tandem rolling mills. The model was utilized to design the optimal rolling conditions to expand the stability range of the friction and improve mill vibration stability.

轧机颤振是高强度薄带钢高速轧制的主要限制。为了保持轧机的稳定性，必须将摩擦系数保持在一定范围内。不幸的是，没有模型来计算摩擦的下限。在本文中，开发了一个新模型来捕获最小摩擦系数。基于混合润滑理论和摩擦曲线的单调性分析，提出了该模型。验证结果表明，所建立的模型能够准确预测串联轧机的最小摩擦和摩擦平衡。该模型用于设计最佳轧制条件，以扩大摩擦的稳定范围并提高轧机的振动稳定性。