Abstract: Based on the orthogonal turning process, the single degree of freedom chatter model taking the nonlinear hysteretic and exciting force into consideration is established. The nonlinear dynamic equation of chatter system is solved with the method of multiple scales, and the bifurcation equations of amplitude phase and approximate second-order periodic response can be obtained. The lobe diagram is applied to analyze the linear stability so that the critical relationship between the chatter frequency and time delay can be established for the subsequent stability analysis. The chatter instability phenomenon is characterized by the limited amplitude applied to study the impact of rotating speed and hysteretic parameters. Through the above impact analysis, the time delay factor is discussed further. The three-dimensional spectrum is adopted to analyze the impact of the rotating speed and hysteretic parameters on response and explain its nonlinear dynamics. The conclusion that the hysteretic parameters influence the nonlinear stability much more obviously in the low speed condition can be derived. The methods and data results provide a theoretical reference for the cutting stability prediction and dynamic optimization design in high-speed spindle system of machine tool.

Key words: Chatter, Hysteretic parameters, Nonlinear stability, Time delay