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本文运用平面应变剪切压缩模型导出了异步冷轧轧制力的近似上界解和全面考虑轧辊与轧件弹性变形的计算机辅助下界解,阐明了异步轧制降低冷轧压力的机理并给出了可供工程分析、计算之用的理论公式。本解的分析表明,异步冷轧的降力作用随两工作辊的差速比 i,摩擦系数μ及辊径与轧件厚度之比 R/h_0 值的增加而愈趋显著。比较理论计算结果与作者的实验数据,证明二者符合情况良好。本文还藉助计算机对“搓轧”区内的单位压力分布特征进行了分析,讨论了前人理论中的问题,并证明了本文所用下界解压力模型的正确性。
In this paper, an approximate upper bound solution of asynchrony cold rolling force and a computer-aided lower bound solution that fully consider the elastic deformation of the roll and the rolling stock are deduced by using the plane strain shear compression model. The mechanism of reducing the cold rolling pressure by asynchronous rolling is expounded For engineering analysis, calculation of the theoretical formula. The analysis of this solution shows that the descending force of asynchronous cold rolling is more and more obvious with the increase of the ratio R / h_0 between the differential ratio i of the two work rolls, the friction coefficient μ and the roll diameter and the rolling thickness. Comparison of theoretical calculation results with the author’s experimental data show that the two are in good condition. The paper also analyzes the unit pressure distribution characteristics in the “rubbing-rolling” area by computer, discusses the problems in the predecessor’s theory, and proves the correctness of the lower bound solution pressure model used in this paper.