Packaging steel strip rolling force of roll gap shape equation

Packaging steel strip rolling force of roll gap shape equation profile rolling force distribution along the lateral ( The roll direction) For the quadratic curve, along the longitudinal ( Contact arc direction) Uniform distribution, which can be of work roll and the roll list roll bending burning of differential equations. To diameter larger roll and roll length ratio should also be listed shear deflection differential equation of solving differential equations and roll flattening can obtain have loaded roll gap shape, such as represented by central belt with side landmark points ( Convex degree) , can respectively to obtain the transverse stiffness of rolling force and the lateral stiffness of roll bending Kf value. Theoretical calculation on the one hand, is more complex, on the other hand, some assumptions are not completely in line with the actual, so using lateral stiffness test of steel plate and Kp and Kf, are more useful for the mill. Is expressed in crown strip profile or stick slot shape is a more intuitive way, is it better reflects the quadratic term of stick slot shapes ( Parabolic) 。 For flatness model due to the actuator only bending roll and roll, so generally adopts the concept of crown. But the flatness feedback control system, considering the crown at the same time still need further consideration strip cross section shape of the four items for segmented cooling control. Even so, with the main components of the strip profile curve is secondary, so the crown is still we discuss in the future an important indicator of flatness problem. With crown equation reflects the various factors on the ( Load) Roll gap shape, the influence of cold rolling is used to control the export of crown measures are: ( 1) Four roller CVC or other roller type curve, when the roll up dynamic adjustable roll crown or roll gap shape. ( 2) After six roller HC, into the middle roller change stress, under the effect of rolling force and roll bending force, there will produce different loaded roll gap shape. ( 3) Bending institutions directly by the regulation of rolling series of bending deformation change stick shape of seam. ( 4) Modification on either side of the support roller, on the one hand, can improve the edge thinning, at the same time improve the ability of the bending mechanism. ( 5) Rolling stick segmented cooling, by changing the hot roller type to adjust the roll gap shape. ( 6) Reasonable distribution of rolling pressure, will for the other strip shape control means to create a good foundation. ( 7) The original cold roll shape design. The main disturbance affecting the crown is: ( 1) Fluctuation of rolling force, especially in dairy force AGC action when the larger changes. ( 2) Thermal roll shape of volatility. ( 3) The roll wear. ( 4) Material changes in the crown. Strip shape control goal is to control the frame export crown ( Relative convex degree) ： 　　（ 1) To ensure that the finished product should be crown. ( 2) To ensure the relative crown rack exports are identical, that maintain a good flatness or uniform transverse distribution of tensile stress.