In the present study, a five-boundary conditional distribution function of the forming angle is proposed. The stress, strain, and springback of a sheet in roll-forming process under three different angle distribution functions are studied. Furthermore, effects of forming angle increment, sheet thickness, and material yield strength on stress, strain distribution, and springback of sheet during roll forming are studied under optimized forming angle. The results demonstrate that stress, strain, and springback of each pass based on increment of forming angle under five-boundary condition during roll forming are less than those achieved by other forming angle distribution methods. The stress and strain in the bending zone increase with increase in the sheet thickness. After roll forming, the springback angle decreases with the increase of sheet thickness, increases with the increase of forming angle and material yield strength. However, springback angle can be effectively reduced by increasing the number of passes or correction rolls.

在本研究中，提出了成形角的五边界条件分布函数。研究了在三种不同角度分布函数下，辊压成形过程中板材的应力，应变和回弹。此外，研究了在最佳成形角下，成形角增量，片材厚度和材料屈服强度对轧制过程中片材的应力，应变分布和回弹的影响。结果表明，在轧制过程中，在五边界条件下，基于成形角增量的每道次的应力，应变和回弹小于通过其他成形角分布方法获得的应力，应变和回弹。弯曲区域的应力和应变随着板厚的增加而增加。滚压成型后 回弹角随板材厚度的增加而减小，随成形角和材料屈服强度的增加而增加。然而，可以通过增加通过次数或校正辊的数量来有效地减小回弹角。