Critical Review of Chatter Vibration Models for Milling

摘要: The pioneering scalar chatter stability models were introduced by (1957), and (1958) almost at the same period but independent of each other. Tlusty proposed following expression: $$ a_{lim} = \frac{{ - 1}} {{2K_s G_0 (\omega )}} $$ (1) where a lim is critical depth cut without chatter, K s[N/m 2] cutting coefficient representing hardness material tool geometry influence, G o[m/N] negative real part frequency response function structure oriented in direction chip thickness. Tobias’s (Tobias Fiswick 1958; Tobias 1965) model similar except that he considered as complex number with dependency on effective speed also lobes 1958) which show stable spindle combinations using phase relationship between vibration waves left surface natural modes structure. basic theory presented had fundamental impact guiding design machine tools selection productive conditions. Although was based orthogonal conditions, where machining system continuous time varying dynamics, researchers engineers used it great success simple adjustments intuitions experience. (Merritt reformulated Nyquist’s Stability law. (Koenigsberger 1967) orientation forces, average teeth flexibilities allowed application staler to practical turning, milling shaping operations.