Reliability evaluation of machining stability prediction

High-speed machining is a technology widely used in the manufacturing industry since it enables to increase productivity and reduce production costs. However, machining productivity can be limited by vibratory instability phenomena. Therefore, the stability analysis and prediction of the cutting speed machining become essential. The stability prediction can be analytically described by a close-loop interaction between structural modal parameters with a cutting force model. Each model representation provides an estimation of the considered parameter which requires to be accompanied by a quantitative statement of its uncertainty. It results to an associated reliability of the stability prediction. The proposed approach consists in introducing variability in the estimation of the modal and cutting parameters in order to evaluate the instability probability of the machining operations and then the chatter reliability. The study of the variability impact on the system instability risk is achieved by the application of reliability methods such as the Monte Carlo method. Associated reliability evaluation of machining stability prediction is compared to experimental results in order to show a close agreement with it.