Reliability of chatter stability in CNC turning process by Monte Carlo simulation method

In turning process, regenerative chatter stability is regarded as an outcome favor in achieving reliable cutting performance. Since nowadays there is great demand in producing very high quality parts, researchers devoted great efforts in developing theoretical and analytical means for understanding, analyzing and solving the stability of a given machining process. In general, the stability of turning process could be influenced by random variables such as machine stiffness, damping and cutting force. Therefore, in this paper, a new method for predicting the reliability of regenerative chatter stability in turning process is proposed. This involves application of Monte Carlo simulation (MCS) tool to study the statistical distribution of regenerative chatter stability during turning process. The employed dynamic model of the regenerative chatter was defined, and the relationship between cutting depth and spindle speed was obtained by Laplace transformation. The sampling distribution information of kinetic parameters of the cutting system was evaluated for the regenerative chatter model. Thus, the limit cutting width of the samples was obtained. The statistical characteristics probability showed that the actual cutting width is less than the limit cutting width. Therefore, the regenerative chatter stability prediction by Monte Carlo simulation was regarded as a criterion