Derivation of Tension Differential Equation for Tandem Rolling Process

JIAOZhi-jie; WANG Jun-sheng; HU Xian-lei; ZHAO Qi-lin; LIU Xiang-hua; WANG Guo-dong

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Derivation of Tension Differential Equation for Tandem Rolling Process

机译：串联轧制过程中张力微分方程的推导

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The speed difference of strip between two stands is the origin of strip tension in tandem rolling process.The relation between elastic elongation and tension meets Hooke's law,and the elastic elongation of strip produces speed difference.Based on these principles,the tension differential equations were derived for rolling strip with u-niform and variant strip sections with one step or n-1 step disturbance points.The simplified forms of these equations are the same as reported in other references.

机译：两个机架之间的带材速度差是连轧过程中带材张力的起源。弹性伸长率和张力之间的关系满足胡克定律，带材的弹性伸长率产生速度差。基于这些原理，张力微分方程为推导的是具有u形和具有1阶或n-1阶扰动点的变型带截面的轧制带钢。这些方程的简化形式与其他参考文献中所述相同。

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来源
《Journal of Iron and Steel Research International》 |2005年第4期|p.32-34|共3页
作者
JIAOZhi-jie; WANG Jun-sheng; HU Xian-lei; ZHAO Qi-lin; LIU Xiang-hua; WANG Guo-dong;
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作者单位

Northeastern University,Shenyang 110004,China;

Northeastern University,Shenyang 110004,China;

Northeastern University,Shenyang 110004,China;

Northeastern University,Shenyang 110004,China;

Northeastern University,Shenyang 110004,China;

Northeastern University,Shenyang 110004,China;

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原文格式 PDF
正文语种 eng
中图分类冶金工业;
关键词
tandem rolling; tension; differential equation;

机译：连轧;张力;微分方程;

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1. Derivation of Tension Differential Equation for Tandem Rolling Process [J] . JIAOZhi-jie, WANG Jun-sheng, HU Xian-lei, Journal of iron and steel research . 2005,第4期

机译：串列轧制过程中张力微分方程的推导
2. Modeling steel rolling processes by fluid-like differential equations [J] . Bambach Markus, Häck Axel Stefan, Herty Michael Applied Mathematical Modelling . 2017,第mara期

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3. State-Dependent Riccati Equation Approach for Optimal Control of a Tandem Cold Metal Rolling Process [J] . John Pittner, Marwan A. Simaan IEEE Transactions on Industry Applications . 2006,第3期

机译：状态依赖的Riccati方程法用于冷连轧过程的最优控制
4. Material characterisation of tire structure used in explicit time integration of differential equations of the rolling process [C] . F.Boehm European conference on constitutive models for rubber . 1999

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5. The tension and the balance between one mathematical concept and students' constructions of it: The case of solution to a differential equation. [D] . Raychaudhuri, Debasree. 2001

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6. Dynamic Risk Measures for Processes via Backward Stochastic Differential Equations Associated with Lévy Processes [O] . Liangliang Miao, Zhang Liu, Yijun Hu 2021

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7. Tension Measuring Method and the Effect of Tension Control on Hot Strip Tandem Rolling Mill [O] . Yasuo MOROOKA, Shinya TANIFUJI, Takakazu SAKURAI, 1976

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8. Approximation Particulaire pour les Equations aux Derivees PartiellesStochastiques du Premier Ordre (Particle Approximation for First Order Stochastic Partial Differential Equations) [R] . Florchinger, P., Legland, F. 1991

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Derivation of Tension Differential Equation for Tandem Rolling Process

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