An improved discretization method for the prediction of milling stability

The present study introduces an improved discretization method for predicting milling stability based on the the semi-discretization method (SDM) proposed and updated by Insperger [1, 2] and the full-discretization method (FDM) presented by Ding [3]. Compared to the SDM and FDM, the enhanced discretization method incorporates a suitable state-space representation of the milling process. The time delay and state components are discretized using a straightforward linear interpolation technique, while the time-periodic component is estimated through numerical integration. The proposed method, which is ultimately validated in terms of computational efficiency and numerical accuracy, demonstrates superior computational efficiency in comparison to the SDM and FDM methods. Furthermore, it exhibits no loss of numerical precision in traditional cutting conditions and shows higher numerical accuracy compared to the SDM and FDM methods during highly interrupted milling operations. The algorithm codes are additionally provided in the supplementary file.