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The simulation analysis of non-linear chatter onset process developed in the previous reports is further extended to chatter vibration caused by the finite amplitude instability. The instability is induced with a step of undeformed chip thickness placed at the start point of turning. The chatter onset process and the lowered stability threshold predicted by the simulation analysis are in good agreement with the experimental results. The amplitude-depth of cut stability chart which involves the finite amplitude instability is obtained through the analysis, and the apparent difference between chatter arising and disappearing depth of cut is discussed. The respective role of non-linearity in machine structure and dynamic cutting force is also discussed for non-linear chatter generation, and for quantitative prediction it is stressed that both the non-linearities are indispensable.

seimitsu kōgakkaishi/seimitsu kougakkaishi

Simulation Analysis of Self-Excited Chatter Vibration with Taking the Non-Linearity of Machine-Tool Structure into Account. (3rd Report). Analysis of Chatter Caused by Finite Amplitude Instability in Turning with Regular Engine Lathe.