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| 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) |
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Cite this article:
SU Fengxi; JIANG Jinmei; CHEN Tianqen (Beijing University of Iron and Steel Technology)(Manuscript received 7 January; 1982; revised manuscript 27 May; 1983). AN ACCURATE MATHEMATICAL MODEL OF ROLL FLATTENED ARC LENGTH. Acta Metall Sin, 1984, 20(1): 131-140.
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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.
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Received: 18 January 1984
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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 |
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