Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method

Abstract

A model based on the curvature integration method has been applied in an online plate leveling system. However, there are some shortcomings in the current leveling models. On the one hand, the models cannot deal with the leveling process of plates with a random curvature distribution. On the other hand, the current models are suitable only for stable leveling processes and ignore the biting in and tailing out stages. This study presents a new plate-leveling model based on the curvature integration method, which can describe the leveling process of plates with random curvature distribution. Further, the model is solved in two cases in order to take the biting in and tailing out stages into consideration. The proposed model is evaluated by comparing with a plate leveling experiment. Finally, the leveling process of a plate with a wave bent is studied using the proposed model. It is found that the contact angles vary greatly during the biting in and tailing out stages. However, they are relatively steady during the 5 roller leveling stage. In addition, the contact angle of roller No. 2 is the smallest, which is close to 0. Roller leveling can effectively eliminate bending in the plate, but there are regions in the head and tail of the plate, where roller leveling is not effective. The non-leveling region length is about 2 times that of the roller space. This study proposes a quasi-static plate-leveling model, which makes it possible to analyze the dynamic straightening process using a curvature integration method. It also makes it possible to analyze the straightening process of a plate with random curvature distribution.

Research on the Hot Straightening Process of Medium-Thick Plates Based on Elastic–Viscoplastic Material Modeling

“…However, numerical analysis has often failed to adequately explain the continuous reverse bending deformation behavior of plates during the straightening process. In our research on the continuous reverse bending model of the straightening process, our research team [14] proposed a continuous reverse bending solution model that considers the geometric behavior of cross-section stress. Liu Dongye [26] further analyzed the reverse bending characteristics of plastic-reinforced materials during the straightening process.…”

The Selection of Leveler Parameters Using FEM Simulation

“…Therefore, the total residual stress of the sheet after leveling depends on the appropriate leveling parameters. In [ 27 ], a model based on the curvature integration method was applied to an online plate leveling system. The developed quasi-static plate-leveling model can analyze the dynamic straightening process using a curvature integration method.…”

Effect of Roller Levelling on Tensile Properties of Aluminum Sheets

“…The roller levelling process has been analyzed in several publications. In the earliest research, mechanical models were established; some good examples can be found in [1][2][3][4][5][6][7][8][9]. Ref.…”

“…Refs. [5][6][7] considered the initial sheet curvature and applied an iterative method for calculating the effective contact points between rolls and sheet. Refs.…”