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| ON THE COLD ROLLING FORCE MODEL AND ITS ADAPTIVE CONTROL |
| Su Fengxi;Liang Guoping Beijing Institute of Iron and Steel Technology Institute of Mathematics; Academia Sinica |
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Cite this article:
Su Fengxi;Liang Guoping Beijing Institute of Iron and Steel Technology Institute of Mathematics; Academia Sinica. ON THE COLD ROLLING FORCE MODEL AND ITS ADAPTIVE CONTROL. Acta Metall Sin, 1979, 15(3): 406-420.
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Abstract The model of rolling force coefficient Q_P has been studied. Three trials oftest showed that macroscopic inhomogeneous draft may occur in the cold rollingof sheets and strips if the parameter l′/h is less than a certain value. The coeffi-cient Q_P given by "slab theory" does not seem proper, and should be modifiedby an amount of ΔQ_P∝(l′/h)~(-1). Three programs of Q_P model are suggested: Ⅰ. for different regions of the parameter l′/ha) l′/h<4.2, Q_P=1.7025-0.0402(R′/H)~(1/2)-0.1972γ(R′/H)~(1/2) l′/h≥4.2, Q_P =0.9599+0.0130(R′/H)~(1/2)+0.0254γ(R′/H)~(1/2)b) Q_P=1.08+1.79μγ(R′/H)~(1/2)-1.02γ l′/h<4.2, μ=0.0917+10.6017/(ε)~2 l′/h≥4.2, μ=0.1059-0.0005ε Ⅱ. taking into account both homogeneous and inhomogeneous deformation Q_P=0.6859-0.4962γ+0.0099(R′/H)~(1/2)+0. 1025γ(R′/H)~(1/2)+1.298h/l′ or Q_P=0.6903-0.5025γ+0.0572l′/h+0.0186γl′/h+1.29h/l′ Ⅲ. taking into account the output elastic recovery contributing to roll-force a) Q_P~*=0.4364-0.1350γ+0.0229(R′/H)~(1/2)+0.0868γ(R′/H)~(1/2)+1. 54h/l′ b) Q_P~*=1.08+1.79μ~*γ(R′/H)~(1/2)-1.02γwhere μ~*=0.0356/(l′/h-2.503)+0.0559 The parameter Q_P~* seems to be more suitable for the mill of most productsbut the relevant computation is more complicated. The physical idea of the equations in program Ⅱ is explicit and the roll-forcethus estimated has been found to agree very closely with the experimental data.It is recommended for the rolling of either cold or hot strips as well as heavyplates. From the results of off-line simulation, however, the accuracy of the modelmay be substantially improved by the combination of the adaptive control to latterpasses of a coil with that to the same pass of the mext coil using the programof the exponential smoothing method, the error can be reduced to within 10%.
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Received: 18 March 1979
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[1] Toshio Kawamoto, Shigeru Shida and Hidehiro Kitanosono, Iron Steel Eng., 49 (1972) , № 8, 79．
[2] 冈本丰彦,竹内久弥,山下了也,计测制御,13(1974) ,590．
[3] Bryant, G. F. et al., Automation of Tandem Mills, The Iron and Steel Institute, Carlton House Terrace, London Swiy 5DB, 1973, p. 245．
[4] Roberts, W. L., Iron Steel Eng,, 42 (1965) , № 10, 75．
[5] Hill, R., The Mathematical Theory of Plasticity, Clarendon Pr., Oxford, 1950, p. 199．
[6] 五弓勇雄,木原淳二,小豆岛明,塑性加工,15(1974) ,№ 159,264．
[7] 木原淳二,薄钢板制造技术最近进步,第29、 30回西山纪念技术讲座,日本铁钢协会,1974,p.65．
[8] 齐藤好弘,塑性加工,11(1970) ,736． |
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