反演算法测量冷轧接触应力的影响因素与精度分析
|
摘要
在现代高速轧制过程中,准确获得轧辊和轧板接触应力至关重要,基于反演算法测量轧制界面接触应力的方法是一种测量接触应力的前沿技术。通过有限元数值仿真模拟二辊冷轧铝板过程,解析了采样半径和采样频率对平面应变条件下的反演算法精度的影响。根据仿真结果,提取轧辊内部不同半径位置一周应力分量作为反演算法输入量反演出轧制界面接触应力,计算出反演接触应力和仿真接触应力相对误差,讨论了反演算法输入量的采样半径和采样频率对反演算法精度的影响规律。结果表明,采样半径越靠近轧辊表面、采样频率越大,接触应力的反演精度越高,但是达到一定范围内反演算法的改善效果已经不明显,为下一步基于该反演算法的新型接触应力传感器的设计与安装提供了理论依据。
In modern,high-speed rolling process,it is vital to accurately obtain the contact stress between roll and strip. The indirect evaluation of interfacial contact stress with inverse method is an advanced technology. In order to study the influence of sampling radius and sampling frequency on the accuracy of inverse method under the plane-strain condition,the numerical simulation is given to simulate the two-roll cold rolling aluminum plate process. According to the simulation results,the stress components inside the roll are extracted as the inputs of inverse method to infer the interfacial contact stress between roll and strip. The relative error of contact stress obtained by inverse method and numerical simulation is calculated,and the influence of sampling radius and sampling frequency on the accuracy of inverse method is discussed. The results show that,the closer the sampling radius is to the surface of the roll and the higher the sampling frequency is,the higher the accuracy of contact stress is inferred by inverse method. But the improvement of the inverse method in a certain range is not obvious. It provides a theoretical basis for the design and installation of a new contact stress sensor with inverse method.
In modern,high-speed rolling process,it is vital to accurately obtain the contact stress between roll and strip. The indirect evaluation of interfacial contact stress with inverse method is an advanced technology. In order to study the influence of sampling radius and sampling frequency on the accuracy of inverse method under the plane-strain condition,the numerical simulation is given to simulate the two-roll cold rolling aluminum plate process. According to the simulation results,the stress components inside the roll are extracted as the inputs of inverse method to infer the interfacial contact stress between roll and strip. The relative error of contact stress obtained by inverse method and numerical simulation is calculated,and the influence of sampling radius and sampling frequency on the accuracy of inverse method is discussed. The results show that,the closer the sampling radius is to the surface of the roll and the higher the sampling frequency is,the higher the accuracy of contact stress is inferred by inverse method. But the improvement of the inverse method in a certain range is not obvious. It provides a theoretical basis for the design and installation of a new contact stress sensor with inverse method.
引文
[1]Jeswiet J,Rice W B.The design of a sensor for measuring normal pressure and friction stress in the roll gap during cold rolling[C].//Tenth north american manufacturing research conference proceedings,1982:130-134.
[2]Tieu A K,Liu Y J.Friction variation in the cold-rolling process[J].Tribology International,2004,37(2):177-183.
[3]Andersen C B,Ravn B G,Wanheim T.Development of a commercial transducer for measuring pressure and friction on a model die surface[J].Journal of Materials Processing Technology,2001,115(2):205-211.
[4]Lagergren J,Arentoft M,Henningsten P.New roll gap measurements of the friction conditions and the normal pressure distribution in cold flat rolling[C].//Ninth International Steel Rolling Conference,Paris la Defense,2006.
[5]Stelson K.A new method to measure normal pressure and frictional stresses in the roll gap during cold rolling[C].//Eleventh North American Metalworking Research Conference Proceedings,1983:259-264.
[6]Legrand N,Lavalard T,Martins A.New concept of friction sensor for strip rolling:Theoretical analysis[J].Wear,2012,286:8-18.
[7]Weisz-Patrault D,Ehrlacher A,Legrand N.A new sensor for the evaluation of contact stress by inverse analysis during steel strip rolling[J].Journal of Materials Processing Technology,2011,211(9):1500-1509.
[8]Weisz-Patrault D,Maurin L,Legrand N.Experimental evaluation of contact stress during cold rolling process with optical fiber bragg gratings sensors measurements and fast inverse method[J].Journal of Materials Processing Technology,2015(223):105-123.
[9]肖进辉,王志刚.基于改进的反演方法评估轧制界面接触应力的新型传感器理论研究[J].机械设计与制造,2016(2016年7):24-28.(Xiao Jin-hui,Wang Zhi-gang.Theoretical research on a new sensor for the evaluation of contact stress by improved inverse method during steel strip rolling[J].Machinery Design&Manufacture,2016(2016,7):24-28.)
[10]Muskhelishvili N I,赵惠元.数学弹性力学的几个基本问题[M].北京:科学出版社,1958:76-116.(Muskhelishvili NIed,Zhao Hui-yuan Trans1.Some Basic Problemsin Mathematical Elasticity[M].Beijing:Science Press,1958:76-116.)
[11]李博,张清东,张晓峰.带钢平整轧制残余应力场的二维数值模拟[J].轧钢,2014,31(1):14-18.(Li Bo,Zhang Qing-dong,Zhang Xiao-feng.Two-dimensional numerical simulation of residual stress of strip in temper rolling process[J].Steel Rolling,2014,31(1):14-18.)
[2]Tieu A K,Liu Y J.Friction variation in the cold-rolling process[J].Tribology International,2004,37(2):177-183.
[3]Andersen C B,Ravn B G,Wanheim T.Development of a commercial transducer for measuring pressure and friction on a model die surface[J].Journal of Materials Processing Technology,2001,115(2):205-211.
[4]Lagergren J,Arentoft M,Henningsten P.New roll gap measurements of the friction conditions and the normal pressure distribution in cold flat rolling[C].//Ninth International Steel Rolling Conference,Paris la Defense,2006.
[5]Stelson K.A new method to measure normal pressure and frictional stresses in the roll gap during cold rolling[C].//Eleventh North American Metalworking Research Conference Proceedings,1983:259-264.
[6]Legrand N,Lavalard T,Martins A.New concept of friction sensor for strip rolling:Theoretical analysis[J].Wear,2012,286:8-18.
[7]Weisz-Patrault D,Ehrlacher A,Legrand N.A new sensor for the evaluation of contact stress by inverse analysis during steel strip rolling[J].Journal of Materials Processing Technology,2011,211(9):1500-1509.
[8]Weisz-Patrault D,Maurin L,Legrand N.Experimental evaluation of contact stress during cold rolling process with optical fiber bragg gratings sensors measurements and fast inverse method[J].Journal of Materials Processing Technology,2015(223):105-123.
[9]肖进辉,王志刚.基于改进的反演方法评估轧制界面接触应力的新型传感器理论研究[J].机械设计与制造,2016(2016年7):24-28.(Xiao Jin-hui,Wang Zhi-gang.Theoretical research on a new sensor for the evaluation of contact stress by improved inverse method during steel strip rolling[J].Machinery Design&Manufacture,2016(2016,7):24-28.)
[10]Muskhelishvili N I,赵惠元.数学弹性力学的几个基本问题[M].北京:科学出版社,1958:76-116.(Muskhelishvili NIed,Zhao Hui-yuan Trans1.Some Basic Problemsin Mathematical Elasticity[M].Beijing:Science Press,1958:76-116.)
[11]李博,张清东,张晓峰.带钢平整轧制残余应力场的二维数值模拟[J].轧钢,2014,31(1):14-18.(Li Bo,Zhang Qing-dong,Zhang Xiao-feng.Two-dimensional numerical simulation of residual stress of strip in temper rolling process[J].Steel Rolling,2014,31(1):14-18.)