波纹辊轧机辊系垂直非线性参激振动特性分析

PDF(1922 KB)

振动与冲击 ›› 2019, Vol. 38 ›› Issue (20) : 164-171.

论文

和东平，王涛，解加全，任忠凯，刘元铭

作者信息 +

An analysis on parametrically excited nonlinear vertical vibration of a roller system in corrugated rolling mills

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai，LIU Yuanming

Author information +

文章历史 +

摘要

考虑了波纹辊轧机波纹界面间的非线性阻尼和非线性刚度，建立了波纹辊轧机两自由度垂直非线性参激振动模型。利用奇异值理论讨论了波纹辊轧机辊系自治下的稳定性，运用多尺度法求解了波纹辊轧机辊系在波纹界面激励下的主共振和次共振的解析近似解和幅频特性方程。分析了非线性刚度系数、非线性阻尼系数、系统阻尼系数、轧制力的幅值等参数对振动的影响。通过数值仿真验证了分析结果的正确性，为抑制波纹辊轧机的辊系振动和升级改造提供了一定的理论指导。

Abstract

Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mills, a model of parametrically excited nonlinear vertical vibration of the roller system was established.The stability of theroller autonomous system of corrugated rolling mills was discussed by using the singular value theory.The approximate analytical solution and amplitude-frequency characteristic equations of principal resonance and sub-resonance of roller system excited by corrugated interface were carried out by using the multiple-scale method.The influences of nonlinear stiffness coefficient, nonlinear damping coefficient, system damping coefficient and rolling force amplitude on vibration were analyzed.The correctness of the analysis results was verified by numerical simulation.

导出引用

和东平，王涛，解加全，任忠凯，刘元铭. 波纹辊轧机辊系垂直非线性参激振动特性分析[J]. 振动与冲击, 2019, 38(20): 164-171

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai，LIU Yuanming. An analysis on parametrically excited nonlinear vertical vibration of a roller system in corrugated rolling mills[J]. Journal of Vibration and Shock, 2019, 38(20): 164-171

参考文献

[1] 杨旭,李江昀,童朝南. 冷轧机垂向辊系非线性振动建模与稳定性分析[J].振动、测试与诊断,2013, 33(2):302-306.
YANG Xu, LI Jiangyun, TONG Chaonan. Nonlinear vibration modeling and stability analysis of vertical roll system of cold rolling mill [J]. Journal of Vibration, Measurement and Diagnoise, 2013, 33(2):302-306.
[2] 张瑞成,陈至坤,王福斌. 单辊驱动轧机水平非线性参激振动机理研究[J].振动与冲击,2010,29(6):105-108.
ZHANG Ruicheng, CHENG ZhiKun, WANG Fubin. Study on the mechanism of horizontal nonlinear parametric vibration of single-roll driving mill [J]. Journal of Vibration and Shock, 2010,29(6):105-108.
[3] 闫晓强,王辉,周杰,等. 现代连轧机耦合振动抑制重要进展[J]. 中国冶金,2014,24(4):1-4.
YAN Xiaoqiang, WANG Hui, ZHOU Jie, et al. Important Progress of Coupling Vibration Inhibition on Modern Tandem Mill [J]. China Metallurgy, 2014,24(4):1-4.
[4] 侯福祥,张杰,曹建国,等.带钢冷轧机振动问题的研究进展及评述[J].钢铁研究学报,2007,19(10):6-10+39
HOU Fuxiang, ZHANG Jie, CAO Jianguo, et al. Review of chatter studies in cold rolling[J]. Journal of Iron and Steel Research, 2007,19(10):6-10+39.
[5] 侯东晓,陈浩,刘彬,等.轧机辊系垂直非线性参激振动特性分析[J].振动与冲击,2009,28(11):1-5.
HOU Dongxiao, CHEN Hao, LIU Bin, et al. Research on parametrically excited nonlinear vertical vibration of roller system system in rolling mills[J]. Journal of Vibration and Shock, 2009,28(11):1-5.
[6] Wang T , Li S , Ren Z , et al. A novel approach for preparing Cu/Al laminated composite based on
corrugated roll [J]. Materials Letters, 2019, 234:79-8
2.
[7] Younes M A , Shahtout M , Damir M N . 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.
[8] Panjkovi V, Gloss R , Steward J , et al. Causes of chatter in a hot strip mill: Observations, qualitative analyses and mathematical modelling[J]. Journal of Materials Processing Technology, 2012, 212(4):954-961.
[9] Kapil S , Eberhard P , Dwivedy S K . Nonlinear Dynamic Analysis of a Parametrically Excited Cold Rolling Mill[J]. Journal of Manufacturing Science and Engineering, 2014, 136(4):041012.
[10] 侯东晓, 朱月,刘浩然,等. 基于动态轧制力的冷轧机非线性振动特性研究[J]. 机械工程学报, 2013, 49(14):45-50.
HOU Dongxiao, ZHU Yue, LIU Haoran, et al. Research on nonlinear vibration characteristics of cold rolling mill based on dynamic rolling force[J]. Journal of Mechanical Engineering, 2013, 49(14):45-50.
[11] 孙韵韵,肖会芳,徐金梧. 考虑轧制界面粗糙形貌的轧机辊系非线性振动特性研究[J]. 振动与冲击, 2017, 36(8):113-120.
SUN Yunyun, XIAO Huifang, XU Jinwu. Nonlinear vibration characteristics of a rolling mill system considering the roughness of rolling interface. Journal of Vibration and Shock, 2017, 36(8):113-120.
[12] 彭荣荣，巩长芬,王国威，等. 动态轧制力下冷连轧机超亚谐共振特性分析[J].机械设计与制造, 2018,8:49:-55.
PENG Rongrong, GONG Changfen, WANG Guowei, et al. Analysis of super-harmonic and sub-harmonic resonance characteristics of tandem cold mill under dynamic rolling force[J]. Machinery Design and Manufacture, 2018,8:49:-55.
[13] 闫晓强. 热连轧机机电液耦合振动控制[J]. 机械工程学报,2011,47(17):61-65
YAN Xiaoqiang. Machinery-electric-hydraulic coupling vibration control of hot continuous rolling mills [J]. Journal of Mechanical Engineering, 2011,47(17):61-65.
[14] 郜志英,臧勇,曾令强. 轧机颤振建模及理论研究进展[J]. 机械工程学报,2015,51(16):87-105+112
GAO Zhiying, ZANG Yong, ZENG Lingqiang. Review of Modelling and Theoretical Studies on Chatter in the Rolling Mills [J]. Journal of Mechanical Engineering, 2015,51(16):87-105+112
[15] 时培明, 刘彬, 刘爽. 一类谐波激励相对转动非线性动力系统的稳定性与近似解[J].物理学报, 2008，57(8):4675-4683.
SHI Peiming, LIU Bin, LIU Shuang. Stability and approximate solution of a relative-rotation nonlinear dynamical system under harmonic excitation[J]. Acta Physica Sinica, 2008, 57(8):4675-4683.
[16] 刘延柱，陈立群. 非线性振动[M].北京：高等教育出版社，2001.
[17] 崔灿,蒋晗,李映辉. 变截面梁横向振动特性半解析法[J]. 振动与冲击,2012,31(14):85-88
CUI Can, JIANG Han, LI Yinghui. Semi-analytical method for calculating vibration characteristics of variable cross-section beam [J]. Journal of Vibration and Shock, 2012, 31(14):85-88
[18] 刘彬,赵红旭,朱月,等. 基于动态轧制力的冷轧机两自由度垂直振动特性[J].中国机械工程, 2014, 25(17):2344-2350.
LIU Bin, ZHAO Hongxu, ZHU Yue, et al. Two degree of freedom vertical vibration characteristics of cold rolling mill based on dynamic rolling force[J]. China Mechanical Engineering, 2014, 25(17):2344-2350.