## Journal of Central South University

 第40卷    第2期    总第186期    2009年4月

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(1. 轧制设备及成套技术教育部工程研究中心，亚稳材料制备技术与科学国家重点实验室， 燕山大学，河北 秦皇岛，066004； 2. 宝山钢铁集团有限公司，上海，200941)

Free transverse vibration of rolls for four-high mill

1. Engineering Research Center of Rolling Equipment and Complete Technology of Ministry of Education, State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China; 2 Hot Rolling Mill of Baoshan Iron and Steel Co. Ltd., Shanghai 200941, China

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.

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

 中南大学学报（自然科学版） ISSN 1672-7207 CN 43-1426/NZDXZAC 中南大学学报（英文版） ISSN 2095-2899 CN 43-1516/TBJCSTFT