|
|
Rapid prediction of rolling force of precision thin strip based on non circular arc theory |
WANG Jiaqi1,2, LIU Xiao1,2, ZHANG Zengqiang1,2, WANG Zhenhua1,2, WANG Tao1,2 |
1. College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China; 2. Advanced Forming and Intelligent Equipment Research Institute, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China |
|
|
Abstract Precision stainless steel ultra-thin strip is an important industrial raw material in high-end fields such as microelectronics and micro-forming, High-precision steel strips are generally rolled by multi-roll mills. The rolling force model plays a decisive role in the rolling process control of ultra-thin strip, and the accuracy of the rolling force model is mainly affected by the two parameters of deformation resistance and friction coefficient. In the rolling process, the arc length of the contact deformation zone between the extremely thin strip and the roll is generally much larger than the thickness of the rolled piece. The roll profile is flattened into a non-circular arc profile, and the traditional rolling force model based on the assumption of the arc profile is no longer applicable. In view of the above problems, based on the non circular arc theory, the rolling force model applied to 304 stainless steel strip is developed by deducing the analytical equation based on Fleck theory and computer programming. In order to optimize the rolling parameters and improve the calculation accuracy of the rolling force model, considering that the process characteristics of the ultra-thin strip rolling process are large tension rolling, the yield strength change of the rolled piece is determined by the rolling-tensile experiment and the corresponding deformation resistance model is fitted. The friction coefficient calculation program based on Fleck rolling force model is designed. Combined with the data collected in the rolling process, the friction coefficient model about the change of rolling speed is calculated and fitted in reverse. The data show that during the rolling process of the ultra-thin strip, the friction coefficient decreases with the increase of the rolling speed within a certain range. This is because as the rolling speed increases, the lubricant is more easily brought into the deformation zone, making the oil film lubrication effect in the deformation zone enhanced. The calculation and verification show that the error between the calculated value and the measured value of the model is -10%-10%, which can meet the high efficiency control requirements in the production process.
|
Received: 04 May 2023
|
|
|
|
[1] XIAO H,REN Z,LIU X. New mechanism describing the limiting producible thickness in ultra-thin strip rolling[J]. International Journal of Mechanical Sciences,2017,133(11):788. [2] 刘相华,宋孟,孙祥坤,等.极薄带轧制研究与应用进展[J]. 机械工程学报,2017,53(10):2.(LIU X H,SONG M,SUN X K,et al. Research and application progress of ultra-thin strip rolling[J]. Chinese Journal of Mechanical Engineering,2017,53(10):2.) [3] 范婉婉,刘奇,刘文文,等.脉冲电流辅助SUS304极薄带拉伸变形研究[J]. 中国机械工程,2023,34(4):475.(FAN W W,LIU Q,LIU W W,et al. Pulse current assisted tensile deformation of SUS304 very thin strip[J].China Mechanical Engineering,2023,34(4):475.) [4] 任忠凯,郭雄伟,范婉婉,等. 精密极薄带轧制理论研究进展及展望[J]. 机械工程学报,2020,56(12):74.(REN Z K,GUO X W,FAN W W,et al.Research progress and prospect of precision extremely thin strip rolling theory[J]. Chinese Journal of Mechanical Engineering,2020,56(12):74.) [5] DAMING N,ZHEN L,KAIFENG Z. Grain size effect of commercial pure titanium foils on mechanical properties,fracture behaviors and constitutive models[J]. Journal of Materials Engineering and Performance,2017,26(3):1284. [6] FU M W,WANG J L,Korsunsky A M. A review of geometrical and microstructural size effects in micro-scale deformation processing of metallic alloy components[J]. International Journal of Machine Tools and Manufacture,2016,109:95. [7] 白振华.薄带平整轧制时轧制压力模型的研究[J].机械工程学报,2004(8):63.(BAI Z H. Study on the rolling pressure model of strip temper rolling[J]. Chinese Journal of Mechanical Engineering,2004(8):63.) [8] 刘相华. 轧制参数计算模型及其应用[M]. 北京:化学工业出版社,2007.(LIU X H. Rolling Parameter Calculation Model and Its Application[M]. Beijing:Chemical Industry Publishing House,2007.) [9] 王国栋,刘相华.金属轧制过程人工智能优化[M]. 北京:冶金工业出版社,2000.(WANG G D,LIU X H. Artificial Intelligence Optimization of Metal Rolling Process[M]. Beijing:Metallurgical Industry Press,2000.) [10] CUI C Y,CAO G M,LI X,et al.The coupling machine learning for microstructural evolution and rolling force during hot strip rolling of steels[J].Journal of Materials Processing Technology,2022,309:117736 [11] 魏立新,翟博豪,赵志伟,等. 基于半监督深度网络的冷连轧轧制力预报[J]. 塑性工程学报,2021,27(11):73.(WEI L X,ZHAI B H,ZHAO Z W,et al. Rolling force prediction of tandem cold rolling based on semi-supervised deep network[J]. Journal of Plastic Engineering,2021,27(11):73.) [12] MAHMOODKHANI Y,WELLS M A,SONG G. Prediction of roll force in skin pass rolling using numerical and artificial neural network methods[J]. Ironmaking and Steelmaking,2017,44(4):282. [13] HITCHCOCK J H. Report of ASME special research committee roll neck bearings[R]. New York:ASME Research Publictions,1935. [14] FORD H,ELLIS F,BLAND D R. Cold rolling with strip tension[J]. Journal of the Iron and Steel Institute,1951,168(1):57. [15] JORTNER D,OSTERLE J F,ZOROWSKI C F. An analysis of cold strip rolling[J]. International Journal of Mechanical Sciences,1960,2(3):179. [16] GRIMBLE M J,FULLER M A,BRYANT G F. A non-circular arc roll force model for gold rolling[J]. International Journal for Numerical Methods in Engineering,1978,12(4):643. [17] OROWAN E. Graphical calculation of roll pressure with the assumptions of homogeneous compression and slipping friction[J]. Proceedings Institute Mechanical Engineering,1943,150(141):0943. [18] JOHNSON K L, BENTALL R H. The onset of yield in the cold rolling of thin strip[J]. Journal of the Mechanics and Physics of Solids,1969,17(4):253. [19] FLECK N A,JOHNSON K L. Towards a new theory of cold rolling thin foil[J]. International Journal of Mechanical Sciences,1987,29(7):507. [20] FLECK N A,JOHNSON K L,MEAR M E,et al. Cold rolling of foil[J]. Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,1992,206(2):119 [21] LANGLANDS T A M,MCELWAIN D L S. A modifed Hertzian foil rolling model approximations based on perturbation methods[J]. International Journal of Mechanical Sciences,2002,44(8):1715.[22] LANGLANDS T A M,MCELWAIN D L S,DOMANTI S A. An approxi-mate method for the solution of an influence function foil rolling model[J]. Internatinal Journal of Mechanical Sciences,2004,46(8):1139. [23] 王东城,彭艳,刘宏民. 冷轧带钢平整机高精度高速度轧制力模型开发[J]. 塑性工程学报,2008(1):172.(WANG D C,PENG Y,LIU H M. Development of high precision and high speed rolling force model for cold rolled strip temper mill[J]. Journal of Plastic Engineering,2008(1):172.) [24] REN Z,XIAO H,LIU X,et al. Experimental and theoretic-cal analysis of roll flattening in the deformation zone for ultra-thin strip rolling[J]. Ironmaking and Steelmaking,2018,45(9)805. [25] 任忠凯,王涛,王跃林,等. 极薄带轧制变形区接触轮廓及接触压力分析[J]. 钢铁,2018,53(12):7.(REN Z K,WANG T,WANG Y L,et al. Analysis of contact profile and contact pressure in deformation zone of ultra-thin strip rolling[J]. Iron and Steel,2018,53(12):7.) [26] JOHNSON K L,JOHNSON K L. Contact Mechanics[M]. Cambridge:Cambridge University Press,1987. [27] 宋仁伯,项建英,刘良元,等. 316L不锈钢的热变形抗力模型[J]. 机械工程材料,2010(6):4.(SONG R B,XIANG J Y,LIU L Y,et al. Hot deformation resistance model of 316L stainless steel[J]. Journal of Mechanical Engineering Materials,2010(6):4.) [28] 王军生,白金兰,刘相华. 带钢冷连轧原理与过程控制[M]. 北京:科学出版社,2009.(WANG J S,BAI J L,LIU X H. Principle and Process Control of Strip Cold Rolling[M]. Beijing:Science Press,2009.) [29] 李海阳,纪登鹏,周晓航,等. Q345D 钢的热变形抗力研究[J]. 上海金属,2018,40(2):22.(LI H Y,JI D P,ZHOU X H,et al. Study on hot deformation resistance of Q345D steel[J]. Shanghai Metals,2018,40(2):22.) [30] 井玉安,臧晓明,商秋月,等. 不同润滑条件下带钢冷轧后表面形貌演变规律研究[J]. 轧钢,2015,32(6):6.(JING Y A,ZANG X M,SHANG Q Y,et al. Study on the evolution of surface morphology of strip steel after cold rolling under different lubrication conditions[J]. Steel Rolling,2015,32(6):6.) [31] 白振华,王骏飞. 冷连轧过程中实用摩擦因数模型及其影响因素的研究[J]. 中国机械工程,2005(21):1908.(BAI Z H,WANG J F. Study on practical friction coefficient model and its influencing factors in tandem cold rolling process[J]. China Mechanical Engineering,2005(21):1908.) [32] 刘挺,攀钢. 1 220 mm冷连轧机轧制力模型参数自学习分析[J]. 轧钢,2014,31(5):46.(LIU T,PAN G. Self-learning analysis of rolling force model parameters of 1 220 mm tandem cold mill[J]. Steel Rolling,2014,31(5):46.) |
[1] |
ZHANG Xiaoyan, ZHANG Ji, WANG Zhuo, BAI Shuo, BAI Zhenhua. Calculation model of asynchronous rolling pressure during flattening process[J]. Iron and Steel, 2024, 59(1): 108-116. |
[2] |
HAN Qing, JING Fengwei, XU Wenlong, WANG Jiangwei, WANG Peng. Deformation resistance model and experimental analysis of Q235 steel[J]. PHYSICS EXAMINATION AND TESTING, 2024, 42(1): 8-13. |
[3] |
YAN Jiagen1,JIA Yinfang1,LI Jingdong2,WU Zedong2,WANG Xiaochen2. Modeling research of cold rolling deformation resistance prediction based on hot rolling process parameters[J]. JOURNAL OF IRON AND STEEL RESEARCH , 2023, 35(9): 1100-1109. |
[4] |
LIN Xiling1,2,YANG Maosheng1,2,ZHOU Xiaolong1. Friction and wear properties and micromechanism of M50 steel at high stress and high temperature[J]. JOURNAL OF IRON AND STEEL RESEARCH , 2023, 35(3): 332-346. |
[5] |
WANG Xiao-jian, QIAN Sheng, CUI Meng-yu, ZHANG Ji, BAI Zhen-hua. Stress model and influence factors of sunk roll system in hot dip galvanizing unit[J]. Iron and Steel, 2022, 57(9): 103-113. |
[6] |
LIN Huan1,2,WANG Kai2,3,YANG Maosheng2,CAO Jianchun3,SONG Bo1,LIU Tianxiang2,3. Research on carbide characteristics and sliding wear behavior of carburized layer of M50NiL bearing steel[J]. JOURNAL OF IRON AND STEEL RESEARCH , 2022, 34(7): 701-712. |
|
|
|
|