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研究了六辊UC轧机的轧制过程,对其数据进行了分析处理,给出带材的平均厚度、二次板形控制量、板凸度和四次板形控制量随时间变化的趋势图、混沌相图和递次振幅图。首次发现带材板形指标板凸度具有混沌倍分叉特性及线性变换后的迭代模型:xn+1=rxnexp(1-x2n)。对该迭代模型倍分叉图进行Feigenbaum数和李雅普诺夫指数图计算。由此对该过程出现的“轧不精原理”的混沌与分维机制给出了定量判据。提出了该轧制过程板形特征具有混沌特性的新观点,为该混沌特性的控制与利用给出了理论依据和提高轧制精度的一种新思想。
The rolling process of the six-high UC mill was studied and the data was analyzed and processed. The trend of the average thickness of the strip, the control amount of the secondary plate, the degree of the plate crown and the control amount of the fourth plate with time were obtained , Chaotic phase diagram and the next amplitude map. It is found for the first time that the convexity of strip flat index plate has chaotic double bifurcation characteristics and an iterative model after linear transformation: xn + 1 = rxnexp (1-x2n). The Feigenbaum number and Lyapunov exponent graph are calculated for this iteration model bifurcation graph. The quantitative criterion is given for the chaos and fractal dimension mechanism of “rolling impure principle” appearing in this process. A new viewpoint of the chaos characteristic of the plate shape characteristic during the rolling process is proposed. A new idea is given for the control and utilization of the chaotic characteristic and the rolling precision is raised.