Probabilistic analysis of chatter stability in turning

In practical engineering, randomness of the parameters (mass, stiffness, and cutting coefficients) significantly impacts the stability of turning processes. In this study, the method involving the probabilistic analysis of the regenerative chatter stability in turning is comprehensively investigated. Considering the influences of random factors, the probability characteristic of the regenerative chatter stability in turning is studied using the Monte Carlo simulation (MCS) method and advanced first order second moment (FOSM) method. Dynamic model of regenerative chatter in turning is obtained, and the relationship between the limiting width of cut for stable machining and the rotation speed of the spindle is acquired based on the Laplace transform. The MCS and advanced FOSM methods for predicting the reliability of the stability in turning are proposed by identifying whether the actual cutting width is less than the limiting width of cut. Finally, practical applications and a detailed analysis to evaluate the accuracy of the proposed methods are discussed.