The parameter solving method for springback control mainly depends on theoretical models and numerical simulation. However, many assumptions are adopted in the theoretical model, which inevitably lead to prediction error in practical application. Therefore, for bending and straightening process, a difference iterative compensation method and secant iterative compensation method based on the implicit equation were proposed. In these methods, the deflection and curvature were taken as the control parameter of iterative compensation, and the convergence of deflection was also verified by theory. According to the proposed iterative compensation strategy, an automatic straightening equipment was developed. On this basis, the bending and straightening of shafts and stretch-bending experiments were carried out to demonstrate the efficiency and reliability of the proposed iterative compensation strategy. The results show that the iterative compensation methods can predict the next compensation value based on the springback value of each tests, so that the target value with the error of less than 2% can be obtained with 2–3 iterations. Moreover, the proposed methods are independent on the material properties and mechanical model, and has high convergence precision for the springback compensation problem.

回弹控制的参数求解方法主要取决于理论模型和数值模拟。但是，理论模型采用了许多假设，在实际应用中不可避免地会导致预测误差。因此，针对弯曲和矫直过程，提出了一种基于隐式方程的差分迭代补偿法和割线迭代补偿法。在这些方法中，将挠度和曲率作为迭代补偿的控制参数，并通过理论验证了挠度的收敛性。根据提出的迭代补偿策略，开发了一种自动矫直设备。以这个为基础，进行了轴的弯曲和矫直以及拉伸弯曲实验，以证明所提出的迭代补偿策略的效率和可靠性。结果表明，迭代补偿方法可以基于每个测试的回弹值来预测下一个补偿值，从而可以通过2-3次迭代获得误差小于2％的目标值。此外，所提出的方法与材料特性和力学模型无关，并且对于回弹补偿问题具有较高的收敛精度。这样，通过2–3次迭代即可获得误差小于2％的目标值。此外，所提出的方法与材料特性和力学模型无关，并且对于回弹补偿问题具有较高的收敛精度。这样，通过2–3次迭代即可获得误差小于2％的目标值。此外，所提出的方法与材料特性和力学模型无关，并且对于回弹补偿问题具有较高的收敛精度。