.960· 工程科学学报，第40卷，第8期 2003,38(3):25 [13]Schausberger F.Steinboeck A.Kugi A.Mathematical modeling (赵宪明，刘相华，王国栋，等.板坯轧制过程中不对称工艺 of the contour evolution of heavy plates in hot rolling.Appl Math 参数对侧弯的影响.钢铁，2003,38(3)：25) Modell,2015,39(15):4534 [7]Wang H Y.Study and Application of Asymmetrical Shape Control [14]Liu Y,Wang X C.Yang Q,et al.Analysis of shape control per- Model in Rough Rolling of Hot Strip Mills [Dissertation].Beijing: formance for intermediate roll shifting of universal crown mill.J University of Science and Technology Beijing,2015 Mech Eng,2016,52(4):82 (王海玉.热连轧粗轧非对称板形控制模型研究及应用[学位 (刘洋，王晓晨，杨茎，等.万能凸度轧机中间辊偏移板形调 论文].北京：北京科技大学，2015) 控能力分析.机械工程学报，2016,52(4)：82) [8]Hol C W J,de Roo J,Kampmeijer L,et al.Model predictive con- [15]Yan J M.Study on Rolling Force Deviation of PC Mill [Disserta- troller for strip-tracking during tail-out of the finishing mill//16th tion].Qinhuangdao:Yanshan University,2010 IFAC Symposium on Control,Optimization and Automation in Min- (闫静敏.℃轧机轧制力偏差研究[学位论文].素皇岛：燕 ing,Minerals and Metal Processing.San Diego,2013:397 山大学，2010) [9]Sun J L,Gu S W,Liu H M,et al.Influence of asymmetric rolling [16]Xu L P,Zhou J,Peng Y.Three-dimensional finite element simu- parameters on rolling force deviation for heavy plate.J Plast Eng, lation of PC.mill on rolling force.J Yanshan Univ,2010,34 2016,23(6):94 (1):13 (孙建亮，谷尚武，刘宏民，等.非对称轧制参数对厚板轧制 (徐利璞，周骏，彭艳.P℃轧机轧制过程轧制力三维有限元 力偏差的影响.塑性工程学报，2016,23(6)：94) 模拟.燕山大学学报，2010,34(1)：13) [0]He C.Y.Study and Application of High Accuracy Camber Control [17]Li C S,Song S N,Mei R B,et al.Online arithmetic by fast finite in Plate Rolling [Dissertation].Shenyang:Northeastern Univer- elment in strip rolling.J Mech Eng,2009.45(6):193 sity,2009 (李长生，宋叔尼，梅瑞斌，等.板材轧制过程中快速有限元 (何纯玉.中厚板轧制过程高精度侧弯控制的研究与应用 在线算法.机械工程学报，2009,45(6)：193) [学位论文].沈阳：东北大学，2009) [18]Toshikazu S,Haruhiro I,Atsuo M,et al.Relation between cam- [11]Kainz A,Pumhoessel T,Kurz M,et al.Prediction of camber ber and wedge in flat rolling under restrictions of lateral move- formation,suppression and control of wedge-shaped hot rolled memt.SU1nt,1991,31(6):583 slabs by analytical concepts and finite elements.IFAC-PapersOn- [19]Wang J.Research and Application of Plate Camber Model and Line,2016,49(20):238 Control Strategy Dissertation ]Shenyang:Northeaster Univer- [12]Schausberger F,Steinboeck A,Kugi A.Optimization-based re- siy,2013 duction of contour errors of heavy plates in hot rolling.Process (王君.中厚板侧弯模型及控制策略的研究与应用[学位论 Control,2016,47:150 文].沈阳：东北大学，2013)工程科学学报,第 40 卷,第 8 期 2003, 38(3): 25 (赵宪明, 刘相华, 王国栋, 等. 板坯轧制过程中不对称工艺 参数对侧弯的影响. 钢铁, 2003, 38(3): 25) [7] Wang H Y. Study and Application of Asymmetrical Shape Control Model in Rough Rolling of Hot Strip Mills [Dissertation]. Beijing: University of Science and Technology Beijing, 2015 (王海玉. 热连轧粗轧非对称板形控制模型研究及应用[学位 论文]. 北京: 北京科技大学, 2015) [8] Hol C W J, de Roo J, Kampmeijer L, et al. Model predictive con鄄 troller for strip鄄tracking during tail鄄out of the finishing mill / / 16th IFAC Symposium on Control, Optimization and Automation in Min鄄 ing, Minerals and Metal Processing. San Diego, 2013: 397 [9] Sun J L, Gu S W, Liu H M, et al. Influence of asymmetric rolling parameters on rolling force deviation for heavy plate. J Plast Eng, 2016, 23(6): 94 (孙建亮, 谷尚武, 刘宏民, 等. 非对称轧制参数对厚板轧制 力偏差的影响. 塑性工程学报, 2016, 23(6): 94) [10] He C Y. Study and Application of High Accuracy Camber Control in Plate Rolling [Dissertation]. Shenyang: Northeastern Univer鄄 sity, 2009 (何纯玉. 中厚板轧制过程高精度侧弯控制的研究与应用 [学位论文]. 沈阳: 东北大学, 2009) [11] Kainz A, Pumhoessel T, Kurz M, et al. Prediction of camber formation, suppression and control of wedge鄄shaped hot rolled slabs by analytical concepts and finite elements. IFAC鄄PapersOn鄄 Line, 2016, 49(20): 238 [12] Schausberger F, Steinboeck A, Kugi A. Optimization鄄based re鄄 duction of contour errors of heavy plates in hot rolling. J Process Control, 2016, 47: 150 [13] Schausberger F, Steinboeck A, Kugi A. Mathematical modeling of the contour evolution of heavy plates in hot rolling. Appl Math Modell, 2015, 39(15): 4534 [14] Liu Y, Wang X C, Yang Q, et al. Analysis of shape control per鄄 formance for intermediate roll shifting of universal crown mill. J Mech Eng, 2016, 52(4): 82 (刘洋, 王晓晨, 杨荃, 等. 万能凸度轧机中间辊偏移板形调 控能力分析. 机械工程学报, 2016, 52(4): 82) [15] Yan J M. Study on Rolling Force Deviation of PC Mill [Disserta鄄 tion]. Qinhuangdao: Yanshan University, 2010 (闫静敏. PC 轧机轧制力偏差研究[学位论文]. 秦皇岛: 燕 山大学, 2010) [16] Xu L P, Zhou J, Peng Y. Three鄄dimensional finite element simu鄄 lation of PC mill on rolling force. J Yanshan Univ, 2010, 34 (1): 13 (徐利璞, 周骏, 彭艳. PC 轧机轧制过程轧制力三维有限元 模拟. 燕山大学学报, 2010, 34(1): 13) [17] Li C S,Song S N, Mei R B, et al. Online arithmetic by fast finite elment in strip rolling. J Mech Eng, 2009, 45(6): 193 (李长生, 宋叔尼, 梅瑞斌, 等. 板材轧制过程中快速有限元 在线算法. 机械工程学报, 2009, 45(6): 193) [18] Toshikazu S, Haruhiro I, Atsuo M, et al. Relation between cam鄄 ber and wedge in flat rolling under restrictions of lateral move鄄 ment. ISIJ Int, 1991, 31(6): 583 [19] Wang J. Research and Application of Plate Camber Model and Control Strategy [Dissertation]. Shenyang: Northeastern Univer鄄 sity, 2013 (王君. 中厚板侧弯模型及控制策略的研究与应用[学位论 文]. 沈阳: 东北大学, 2013) ·960·