On Accurate and Efficient Judgment Method of Milling Stability Based on Predictor-Corrector Scheme

The accurate and efficient identification of milling stability region is key to suppressing chatter and improving production efficiency. Therefore, the theory of "predictor-corrector" is dependent on proposing a new method for milling stability prediction. Firstly, the delay differential equation on regenerative chatter is turned into the state space expression. Then, the Milne formula is used to predict the displacement whereas the Simpson formula corrects this predicted value. Furthermore, a discrete prediction-correction expansion with higher precision is constructed to obtain the state transition express. Based on the Floquet theory, the milling stability can be judged. Finally, the comparison of local discretization errors obtained by the proposed method with other methods shows that the proposed method has a faster convergence speed than the contrast methods. Obviously, under the same discretization conditions, the proposed method can not only achieve higher computational accuracy than the contrast methods but also obtain faster computational efficiency. Both 29 groups of the simulation results and 9 groups of experimental measurements can further validate the presented method in actual prediction effect.