A novel approach for the rolling force calculation of cold rolled sheet

The rolling force model was the core factor for the control system of the cold rolled sheet, the prediction accuracy affect the final flatness and the strip thickness directly. A novel approach for the rolling force prediction of cold rolled sheet was first proposed based on the plastic mechanics, in which the cylindrical velocity field was used to analyze the metal flow in the deformation region by the upper bound analysis in this paper. The analysis solution of rolling torque, rolling force and stress state coefficient are obtained by minimizing the total power which contain the internal plastic power, frictional power, shear power and tense power. Moreover, the effects of frictional factor, reduction ratio and the tense on the location of neutral point and stress state coefficient are discussed, respectively, and the validity of the proposed model was verified by comparing with the traditional models. The calculation process was programed and applied in the control system of one 1450 mm cold tandem mill successfully, the prediction results was in good agreement with the actual measured ones, and deviation proportion in the range of ±10.0% reached 97.3%, it can meet the requirements of the control system in cold rolling process.

[1]  Jie Sun,et al.  Application of hyperbolic sine velocity field for the analysis of tandem cold rolling , 2016 .

[2]  Liu Xiang-hua.  Application of Neural Network Based on Bayesian Method to Rolling Force Prediction in Cold Rolling Process , 2008 .

[3]  Luis E. Zárate,et al.  A model-based predictive control scheme for steal rolling mills using neural networks , 2003 .

[4]  Rodney Hill.  Relations between roll‐force, torque, and the applied tensions in strip‐rolling* * Paper No. MW/A/44/48 of the Rolling Committee of the British Iron and Steel Research Association. , 1950 .

[5]  Luis E. Zárate.  A method to determinate the thickness control parameters in cold rolling process through predictive model via neural networks , 2005 .

[6]  Guilin Zhang,et al.  Initial guess of rigid plastic finite element method in hot strip rolling , 2009 .

[7]  K. L. Nielsen.  Rolling induced size effects in elastic–viscoplastic sheet metals , 2015 .

[8]  Xianghua Liu,et al.  A NR-BFGS method for fast rigid-plastic FEM in strip rolling , 2012 .

[9]  T. Kármán,et al.  8. Beitrag zur Theorie des Walzvorganges , 1925 .

[10]  Heshmatollah Haghighat,et al.  An upper bound analysis of rolling process of non-bonded sandwich sheets , 2015 .

[11]  Zhengyi Jiang,et al.  A FEM modelling of the elastic deformation zones in flat rolling , 2004 .

[12]  Hugh Ford,et al.  The Calculation of Roll Force and Torque in Cold Strip Rolling with Tensions , 1948 .

[13]  Antti Korhonen,et al.  Prediction of rolling force in cold rolling by using physical models and neural computing , 1996 .

[14]  E. Orowan,et al.  The Calculation of Roll Pressure in Hot and Cold Flat Rolling , 1943 .

[15]  Byung-Min Kim,et al.  Study on the improved accuracy of strip profile using numerical formula model in continuous cold rolling with 6-high mill , 2011 .

[16]  M. Poursina,et al.  A new method for prediction of forward slip in the tandem cold rolling mill , 2015 .

[17]  Zhou Fu-qiang,et al.  Prediction model of rolling force for tandem cold rolling mill based on neural networks and mathematical models , 2006 .

[18]  P. P. Gudur,et al.  A neural network-assisted finite element analysis of cold flat rolling , 2008, Eng. Appl. Artif. Intell..

[19]  Sun Jie,et al.  Online calculation model of rolling force for cold rolling mill based on numerical integration , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[20]  Pierre Montmitonnet,et al.  Coupled approach for flatness prediction in cold rolling of thin strip , 2011 .

[21]  Dianhua Zhang,et al.  A new model for thermo-mechanical coupled analysis of hot rolling , 2017 .

[22]  Dewen Zhao,et al.  The calculation of roll torque and roll separating force for broadside rolling by stream function method , 2012 .

[23]  M. Simaan,et al.  Tandem Cold Metal Rolling Mill Control , 2011 .

[24]  Zhengyi Jiang,et al.  Finite element simulation of cold rolling of thin strip , 2003 .

[25]  Pierre Montmitonnet,et al.  Manifested flatness defect prediction in cold rolling of thin strips , 2014, International Journal of Material Forming.

[26]  Yilmaz Can,et al.  Analysis of cold and hot plate rolling using dual stream functions , 2008 .

[27]  Sungzoon Cho,et al.  Reliable roll force prediction in cold mill using multiple neural networks , 1997, IEEE Trans. Neural Networks.