金属学报  1979, Vol. 15 Issue (3): 406-420

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冷轧压力模型及其自适应控制的研究

苏逢西;梁国平

北京钢铁学院;中国科学院数学研究所

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

苏逢西;梁国平. 冷轧压力模型及其自适应控制的研究[J]. 金属学报, 1979, 15(3): 406-420.
, . ON THE COLD ROLLING FORCE MODEL AND ITS ADAPTIVE CONTROL[J]. Acta Metall Sin, 1979, 15(3): 406-420.

摘要 参考文献 相关文章 Metrics 全文: PDF(903 KB)   摘要: 平截面方法导出轧制力方程的一般形式是P=Hl′Q_Pξ。这四个因子可以独立地处理。 重点研究了应力状态系数Q_P的模型。从三次的实验结果,发现了即便对于板带冷轧,当l′/h小于一定值时,也会出现宏观的不均匀压下,平截面法得到的Q_P理论解不适用,应给以修正量ΔQ_P∞1/(l′/h). 共给出三种方案的Q_P模型: (1)分段统计分析的结果: 1)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) 2)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 (2)同时考虑均匀与不均匀变形的结果; U_P=0.6859-0.4962γ+0.0099 (R′/H)~(1/2)+0.1025γ(R′/H)~(1/2)+1.298(h/l′)或 Q_P=0.6903-0.5025γ+0.0572(l/h)+0.0186γ(l/h)+1.29(h/l′) (3)考虑出口弹性回复区对轧制压力的贡献: 1)Q_P~*=0.4364-0.1350γ+0.0229(R′/H)~(1/2)+0.0868γ(R′/H)~(1/2)+1.5 h/l′ 2)Q_P~*=1.08+1.79μ~*γ(R′/H)~(1/2)-1.02γ μ~*=0.0356/((l′/h)-2.503)+0.0559、 对多品种产品的轧机,它会有更好的适应性,但使计算复杂。 方案(2)的方程结构物理概念明确,对观测值有 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%. 收稿日期: 1979-03-18      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 梁国平 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1979/V15/I3/406 [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． No related articles found! Viewed Full text Abstract Cited   Shared      Discussed