四辊轧机辊系的横向自由振动

来源期刊:中南大学学报(自然科学版)2009年第2期

论文作者:孙建亮 彭艳 刘宏民 江光彪

文章页码:429 - 435

关键词:四辊轧机;辊系横向自由振动;模态叠加法

Key words:four-high mill; free transverse vibration of rolls; modal superposition method

摘    要:为研究轧机辊系沿辊身长度方向的振动特性及其对板带材板形质量的影响,以四辊轧机为研究对象,将工作辊和支撑辊看作弹性连续体,辊间接触认为是Winkler弹性基础,建立轧机辊系的横向振动模型。根据 欧拉-伯努力梁理论,采用模态叠加法对轧机辊系自由振动耦合方程进行求解,得到四辊轧机辊系横向振动的自然频率、主振型和振动方程。对宝钢2030冷轧机组进行数值模拟,分析其辊系横向振动特性。研究结果表明:四辊轧机辊系横向振动包括2个无限序列的自然频率ω1n和ω2n;辊系横向自由振动由2种振动模式组成,即低频的同步振动和高频的异步振动;辊系横向振动中模式 起主要作用,低阶时工作辊的振动比支承辊的振动剧烈;高阶时支承辊振幅大于工作辊振幅,奇数阶振幅大于偶数阶振幅;轧辊横向振动对带材板形质量有重要影响。关键词:四辊轧机;辊系横向自由振动;模态叠加法

Abstract: In order to study the transverse vibration of rolls for four-high mill and its effect on the strip shape, the free transverse vibration model of rolls for four-high mill was built. The work roll and backup roll were considered as elastic continuous bodies and the work roll and backup roll were joined by a Winkler elastic layer. According to Euler-Bernoulli beam theory, the coupled equations of free transverse vibration of rolls were solved based on modal superposition method. The numerical modeling was made on 2030 cold tandem mill of Baoshan Iron and Steel Company. The free transverse vibration characteristics of rolls were analyzed, and the natural frequency, principal mode and motion equations were determined. The results show that the free transverse vibration of rolls includes two kinds of vibration modes which are the synchronous vibration at low frequencies ω1n and the asynchronous vibration at high frequencies ω2n. The sequence n=1 plays more important role in the free transverse vibration of rolls. The vibration amplitude of work roll is bigger than that of the backup roll in low order, and it is reverse in high order. The vibration amplitude of odd-order is bigger than that of the even-order. The transverse vibration of rolls for four-high mill has important effect on the strip shape.

基金信息:国家自然科学基金资助项目
河北省重大自然科学基金资助项目

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