Non-main Resonance Nonlinear Torsional Vibration Dynamics of Rolling Mill’s Multi-degree-of-freedom Main Drive System
SHI Peiming1 XIA Kewei1 LIU Bin1 HOU Dongxiao2
1. College of Electrical Engineering, Yanshan University, Qinhuangdao, 066004
2. Department of Automatic Engineering, Northeastern University at Qinghuangdao, Qinghuangdao 066004,China
Abstract：Considering the influence caused by the parametric excitation, the nonlinear torsional vibration dynamical equations of the multi-dof rolling mill’s main drive system were established. To analyzing the coupled equations by analytic method, the equations were decoupled by transforming them into principal coordinates. The amplitude-frequency characteristic equation was obtained by solving the dynamical equation using the multi-scale method. Furthermore, numerical example based on the 1780 rolling mill of some Steel Co. rolling mill’s main drive system was given to illustrate the effects of the resonance on the response of the system. It exhibits many changes of the relationships of super-harmonic resonance, sub-harmonic resonance, and combination resonance between amplitude and frequency under the changes of parameters like nonlinear stiffness, nonlinear friction damping, joint angle, torque disturbance and rolling tension. The numerical simulation indicated that the analytic method is valid with the comparison between the numerical method and the multi-scale method. The research results provide theory basis and reference for analyzing torsional vibration of rolling mill’s transmission system caused by out disturbance.
[1] NIZIOL J，SWIATONIOWSKI A. Numerical analysis of the vertical vibrations of rolling mills and their negative effect on the sheet quality[J]. Journal of Materials Processing Technology. 2005, 162(15):546-550.
[2] Shi Peiming, Li Jizhao, Liu Bin，Han Dongying. Nonlinear Dynamics of Torsional Vibration for Rolling Mill's Main Drive System under Parametric Excitation[J]. Journal of iron and steel research international, 2013, 20(1):07-12
[3] 侯东晓,刘彬,时培明,等.两自由度轧机非线性扭振系统的振动特性及失稳研究[J].振动与冲击, 2012, 31(3):32-36.
[4] 时培明, 夏克伟, 刘彬, 蒋金水. 含间隙多自由度轧机传动系统非线性扭振动力特性[J]. 机械工程学报, 2012, 48(17):57-63
[5] 时培明, 韩东颖, 蒋金水, 朱占龙. 含间隙强非线性扭振系统的分岔行为研究. 振动与冲击. 2012, 31(21):62-67
[6] 刘浩然, 张业宽, 李晓梅, 刘爽. 轧机非线性传动系统冲击扭振的研究与抑制. 振动与冲击, 2010, 29(7): 189-193
[7] Naitoh，Haruo，Suzuki. Compensation of a GTO-NPC inverter for the damping of rolling mill torsional vibration[J]. IEEE Annual Power Electronics Specialists Conference，1996，1：925-930.
[8] Wang Zhanghai，Wang Dejun. Method of judging the self-excited vibration of rolling main drive system in rolling slippage[J]. Journal of Sound and Vibration，1998，215(5)：1135-1143.
[9] WU Y X，Duan J A. Frequency modulation of high-speed mill chatters[J]. Journal of Materials Processing Technology，2002，129(1)：148-151.
[10] MOHAMMAD，YOUNES A，SHAHTOUT M，et al. A parameters design approach to improve product quality and equipment performance in hot rolling[J]. Journal of Materials Processing Technology，2006，171(1)：83-92.
[11] MARTIN G H, Kinematics and Dynamics of Machines [M], McGraw-Hill, 1969, New York.
