金属学报  1984, Vol. 20 Issue (1): 131-140

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一个精确的压扁弧长数学模型

苏逢西;蒋金梅;陈田青

北京钢铁学院;北京钢铁学院;北京钢铁学院

AN ACCURATE MATHEMATICAL MODEL OF ROLL FLATTENED ARC LENGTH

SU Fengxi; JIANG Jinmei; CHEN Tianqen (Beijing University of Iron and Steel Technology)(Manuscript received 7 January; 1982; revised manuscript 27 May; 1983)

苏逢西;蒋金梅;陈田青. 一个精确的压扁弧长数学模型[J]. 金属学报, 1984, 20(1): 131-140.
, , . AN ACCURATE MATHEMATICAL MODEL OF ROLL FLATTENED ARC LENGTH[J]. Acta Metall Sin, 1984, 20(1): 131-140.

摘要 参考文献 相关文章 Metrics 全文: PDF(680 KB)   摘要: 本工作试验成功了一种测量压扁弧长的新方法——接触法。它能在正常轧制变形条件下精确地测量总弧长l′以及轧辊联心线前、后的分段长度x_1与x_0。 对比实验结果分析了Hitchcock,Ford,等理论公式.证实了Hitchcock公式存在一个随压下率ε减小而增大的、偏低的系统误差。 发现了理论公式计算弧长的误差主要集中在x_0部分,从而指明提高理论解精度的关键在于校正此部分的计算。 在采用弹性理论计算轧辊与轧件弹性位移量的基础上,根据几何关系确定弧长的方程结构;统计分析实验数据估计x_0部分的校正因子。按照以上方案,建立了较精确的压扁弧长数学模型。 预报结果证实该模型与简化的Stone轧制力公式联解P与l′时,具有较高的精度。 Abstract：A method, so called "method of contact", was developed for accurately measuring the total length of roll flattened arc l', and the sectional length from the enter and exit to the centre line between the roll x_1 and x_0. An analysis has been made between the previously allied theories and the experimental results by the authors. It is verified that the less systematic error is resulted to compare with which increases as the decreasing reduction ε in Hitchcock' s formula. Because the error of arc length predicted from theoretical formula is mainly concentrated in x_0, its accuracy may be improved by correcting the calculation of this region. On the basis of consideration of the elastic displacements of rolls and strip, the equation of the roll flattened arc length may be geometrically determined and the correction factor for x_0 may be estimated by statistical analysis of the experimental data. Thus, a more accurate model of the roll flattened are length is proposed as: l'=(RΔh+(Ax_0)~2)~(1/2)+Ax_0 The prediction from this model together with the simplified Stone's formula to solve the roll flattened are length and separating force seems to be of superior accuracy. 收稿日期: 1984-01-18      服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 苏逢西 蒋金梅 陈田青 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1984/V20/I1/131 1 Hitchcock, J. H., Roll Neck Bearings, Appcndic I ASME Report of Special Research Commitce, 1935． 2 苏逢西;葆鸿熙,板带轧制压扁弧长的研究,北京钢铁学院研究生毕业论文,1981． 3 Bland, D.R.; Ford, H., J. Iron Steel Inst., 171 (1952) , 245． 4 #12 5 Stone, M.D., Iron Steel Eng., 30 (1953) , No. 2, 61． 6 Hill, R., The Mathematical Theory of Plasticity, Clarendon Pr., Oxford, 1950, p. 199． 7 Whitton, P.W.; Ford, H., Proc. Inst. Mech. Eng., 169 (1955) , 123．u No related articles found! Viewed Full text Abstract Cited   Shared      Discussed