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Development of a Mathematical Model for the Prediction of Vibration in a Cold Rolling Mill Including the Driving System

机译：包括驱动系统在内的冷轧机振动预测数学模型的开发

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摘要

To date, a variety of analytical and mathematical dynamic models of a rolling mill have been developed, but they were simplified models involving the vertical vibration of the rolls and were not enough to be compatible with actual chatter vibration. In this paper, a mathematical model of a cold rolling mill includ ing the driving system is proposed. The model is reliable enough to be compatible with experimental and theoretical analysis. It took into account the frictional forces between the rolls and the stiffness caused by the roller bearings and the contact between rolls. The joint forces of the spindle were computed from the force equilibrium equations in which the contact stiffness between the gears was approximated in a Fou rier series form. To solve the model efficiently, a novel combination of the direct integration method and quasistatic analysis was proposed. The principal frequencies, including the gear mesh and chatter fre quencies, predicted by the model were very similar to that determined by experimental and theoretical analysis. Not only the vertical, but also the horizontal vibration was investigated to study the added effect of the horizontal rolling force, frictional forces, and joint forces. The horizontal chatter vibration had a strong effect on the dynamic characteristics, although the chatter frequency was generated both in the vertical and horizontal directions.
机译：迄今为止，已经开发了轧机的各种分析和数学动力学模型，但是它们是涉及轧辊垂直振动的简化模型，并且不足以与实际的颤振兼容。本文提出了包括驱动系统在内的冷轧机的数学模型。该模型足够可靠，可以与实验和理论分析兼容。它考虑了辊子之间的摩擦力以及由辊子轴承和辊子之间的接触引起的刚度。主轴的关节力由力平衡方程式计算得出，其中齿轮之间的接触刚度以傅里叶级数形式近似。为了有效地求解模型，提出了直接积分法与准静态分析的新颖组合。该模型预测的主频率，包括齿轮啮合和颤动频率，与实验和理论分析确定的频率非常相似。不仅研究了垂直振动，还研究了水平振动，以研究水平滚动力，摩擦力和联合力的附加影响。尽管在垂直和水平方向都产生颤振频率，但是水平颤动对动力特性有很大的影响。

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  • 来源
    《ISIJ international》 |2012年第6期|p.1135-1144|共10页
  • 作者

    Youngdeuk KIM; Hyunchul PARK; Seoung Soo LEE; Chang-Wan KIM;

  • 作者单位

    Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), San31, Hyoja-dong,Nam-gu, Pohang, Kyungbuk, 790-784 Republic of Korea;

    Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), San31, Hyoja-dong,Nam-gu, Pohang, Kyungbuk, 790-784 Republic of Korea;

    School of Mechanical Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul, 143-701 Republic of Korea;

    School of Mechanical Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul, 143-701 Republic of Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cold rolling mill; mathematical model; direct integration method; chatter vibration;

    机译：冷轧机数学模型;直接整合法;颤振;

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