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Theoretical and Experimental Analysis of Chatter in Tandem Cold Rolling Mills Based on Wave Propagation Theory

机译：基于波传播理论的冷连轧颤振的理论和实验分析

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In this paper, a new theory is introduced to explain chatter mechanism based on wave propagation in elastic solids. It is believed that previous theories in chatter are based on a static analysis and normally are consistent just for low-frequency vibrations such as forced vibration. But chatter phenomenon is a dynamic high-frequency event and requires a consistent theory with a dynamic analysis. In this research, variations of inter-stand tensions are calculated based on wave propagation theory. Predicted results by wave propagation theory were evaluated by dynamic finite element method in a benchmark problem. Results show that wave propagation theory is consistent by dynamic finite element method, but previous theories are not sufficiently accurate in chatter conditions. Hereafter, a numerical model is constituted to simulate the vibrational behavior of a tandem rolling mill. Parameters for numerical simulations are adopted from an industrial two-stand tandem mill. Consequently, results of the analytical model are compared with the experimental measurements from that full scale industrial mill. Two main chattering characteristics, i.e., critical rolling speed and chatter frequency, obtained from the simulation program were found to be more consistent with the experimental results when considering the dynamic effects.
机译：本文介绍了一种新的理论来解释基于波在弹性固体中传播的颤动机理。据信，颤振中的先前理论是基于静态分析的，并且通常仅对于低频振动（如强制振动）是一致的。但是，颤振现象是动态的高频事件，需要具有动态分析的一致理论。在这项研究中，基于波传播理论计算了机架间张力的变化。在一个基准问题中，通过动态有限元方法评估了通过波传播理论得出的预测结果。结果表明，波传播理论与动态有限元方法是一致的，但是先前的理论在颤振条件下不够准确。此后，构造数值模型以模拟串联轧机的振动行为。工业两机架串联轧机采用了用于数值模拟的参数。因此，将分析模型的结果与该大型工业工厂的实验测量结果进行了比较。当考虑动态影响时，发现从仿真程序获得的两个主要的颤振特性，即临界轧制速度和颤振频率与实验结果更加一致。

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