The Effects of Non-Linearity of Dynamic Cutting Process upon Self-Excited Chatter Vibration (2nd Report)

An Energy Approach to Dynamic Cutting Process

Abstract

It was reported in the previous paper that the dynamic cutting state with variable undeformed chip thickness could be predicted by using the data of orthogonal, steady cutting and the slip line solution proposed. Inasmach as the predicting method, however, is unable to apply to general materials cut which do not conform with the Lee-Shaffer's shear angle equation, the method is improved in the present paper by replacing the slip line field with an upper bound model with velocity discontinuity and developing an energy method to determine the model. Dynamic cutting tests including wave generation, wave removal and wave combined proved the cutting forces and chip formation predicted are in good agreement with the experimental results in a variety of materials cut.