Milling stability prediction using an improved complete discretization method

Regenerative chatter is a self-excited vibration that may take place during milling, which process could shorten the lifetime of the tool and result in unacceptable surface quality. Thus, it is necessary to predict and avoid the appearance of this instability phenomenon. In this paper, an improved complete discretization method is proposed to predict milling stability. The highlight of this algorithm is that, by using Euler's method, it discretizes periodic coefficient matrices, delay term, time domain term, and the differential terms, In search of convenience, the benchmark examples are illustrated by making a comparison among the semi-discretization method, complete discretization scheme, and improved complete discretization method, while at the same time the accuracy and efficiency of the algorithm is demonstrated. The results show that the proposed method is provided with higher computational efficiency and better industrial application value.