naa a22 4500 510823297 CHVBK 20180411083544.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s12541-013-0056-4 doi (NATIONALLICENCE)springer-10.1007/s12541-013-0056-4 Dynamic modeling and numerical analysis of a cold rolling mill [Elektronische Daten] [Youngdeuk Kim, Chang-Wan Kim, Sungjin Lee, Hyunchul Park] The dynamic characteristics in a rolling process have been investigated with various methods, but a mathematical model to predict actual chatter vibration has not been established. In this paper, we propose a mathematical model of a cold rolling mill to predict chatter vibration. The mathematical model was verified by experiment and theoretical analysis. The chatter frequency predicted by the model was very similar to that determined by experiment and theoretical analysis. The model took into account the stiffness caused by roller bearings and contact between rolls. We considered not only the vertical, but also the horizontal rolling force, with the aim of investigating the added effect of the latter. The work and the intermediate rolls had the same periods of vibration because their masses were similar and the rolls were adjacent. Both the vertical and horizontal vibrations were investigated. The maximum displacement and amplitude of chatter frequency were much larger in the vertical than in the horizontal direction. To reduce chatter vibration, the rolling force had to be reduced within the range of efficient productivity. The chatter frequency that affected the performance of the rolling mill was found, and the dynamic characteristics were investigated. Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg, 2013 Cold rolling mill nationallicence Dynamic characteristics nationallicence Mathematical model nationallicence Rolling force nationallicence Ff1 : Rolling frictional force between the intermediate and work rolls (N) nationallicence Ff2 : Rolling frictional force between the backup and intermediate rolls (N) nationallicence Fr : Rolling force (N) nationallicence h in : Thickness at in-gauge (mm) nationallicence h out : Thickness at out-gauge (mm) nationallicence k b , c b : Stiffness and damping of the roller bearing of the backup roll (N/mm, N · s/mm) nationallicence k bi , k bi : Contact stiffness and damping between the backup and the intermediate rolls (N/mm, N · s/mm) nationallicence k i , c i : Stiffness and damping of the roller bearing of the intermediate roll (N/mm, N · s/mm) nationallicence k iw , c iw : Contact stiffness and damping between the intermediate and work rolls (N/mm, N · s/mm) nationallicence k w , c w : Stiffness and damping of the roller bearing of the work roll (N/mm, N · s/mm) nationallicence k ws , c ws : Contact stiffness and damping between the work roll and strip (N/mm, N · s/mm) nationallicence R : Roll radius (mm) nationallicence u bi : Coefficient of rolling friction between the backup and the intermediate rolls nationallicence u iw : Coefficient of rolling friction between the intermediate and the work rolls nationallicence α : Rolling angle (○) nationallicence Kim Youngdeuk Department of Mechanical Engineering, POSTECH, San 31, Hyoja-dong, Nam-gu, 790-784, Pohang, Kyungbuk, Republic of Korea aut Kim Chang-Wan School of Mechanical Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, 143-701, Seoul, Republic of Korea aut Lee Sungjin Technical Research Laboratories, POSCO, 1, Goedong-dong, Nam-gu, 790-300, Pohang, Kyungbuk, Republic of Korea aut Park Hyunchul Department of Mechanical Engineering, POSTECH, San 31, Hyoja-dong, Nam-gu, 790-784, Pohang, Kyungbuk, Republic of Korea aut International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/3(2013-03-01), 407-413 2234-7593 14:3<407 2013 14 12541 https://doi.org/10.1007/s12541-013-0056-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12541-013-0056-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Youngdeuk Department of Mechanical Engineering, POSTECH, San 31, Hyoja-dong, Nam-gu, 790-784, Pohang, Kyungbuk, Republic of Korea aut NATIONALLICENCE 700 1- Kim Chang-Wan School of Mechanical Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, 143-701, Seoul, Republic of Korea aut NATIONALLICENCE 700 1- Lee Sungjin Technical Research Laboratories, POSCO, 1, Goedong-dong, Nam-gu, 790-300, Pohang, Kyungbuk, Republic of Korea aut NATIONALLICENCE 700 1- Park Hyunchul Department of Mechanical Engineering, POSTECH, San 31, Hyoja-dong, Nam-gu, 790-784, Pohang, Kyungbuk, Republic of Korea aut NATIONALLICENCE 773 0- International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/3(2013-03-01), 407-413 2234-7593 14:3<407 2013 14 12541 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer