Regenerative chatter by teeth allocated in the cutting direction with position-dependent modal displacement ratios

Cutters with high flexibility, e.g. side-and-face cutters and band saw cutters, are widely used in industries for finishing of narrow and deep grooves or parting operations. However, because of this flexibility, chatter vibration tends to occur, and it is unique in that the mode shape along the teeth affects the present vibration, the regenerative vibration, and the compliance at the present cutting tooth in both magnitude and phase, which is new to the literature. Hence, a novel regenerative chatter stability model is developed where the position-dependent modal displacement ratio in the cutting direction is considered. The experimental results show agreement with the proposed model, and unique characteristics are extracted. (C) 2019 Published by Elsevier Ltd on behalf of CIRP.