顺序弯曲工艺用于制造具有简单曲率的零件，包括一系列经常重叠的三点弯曲，以产生所需的曲率轮廓。这项工作的目标是开发一个折弯模型和一个优化算法，综合最佳折弯顺序，从而减少返工迭代。开发的分析梁模型考虑了重叠弯曲材料的非平坦初始几何形状、残余应力和应变硬化。弯板的综合是一个最优控制问题，它可以使指定点的曲率误差最小化，并通过一个优化包来解决。 给出了常曲率零件的成形结果。

The sequential bending process, used to make parts with simple curvatures, involves a series of often overlapping three-point bends to produce the desired curvature profile. The objective of this work is to develop a bending model and an optimization algorithm that together synthesize the best sequence of bends, thereby reducing the rework iterations. The analytical beam model developed accounts for non-flat initial geometry, residual stresses and strain-hardening of the overlapping bend material. The synthesis of bends is formulated as an optimal control problem that minimizes the curvature errors at specified points, and solved by an optimization package. Results are presented for forming parts with constant curvature.