Abstract
Vibration cutting is an effective method to cut materials with accuracy by generating pulsating cutting force, which arises while cutting speed is less than 2πaf(a : tool amplitude , f : frequency of the tool vibration ). If the cutting speed exceeds the value of 2πaf, called "critical cutting speed", the vibration cutting system usually becomes unstable. In this paper, we show that there is possibility that vibration cutting will process on the condition that cutting speed exceeds the critical cutting speed by numerical simulations. We classfy the dynamic behaviors in our model under four regions by using bifurcation diagram and lyapunov exponents. We show the phase trajectory and the cutting force in each region, and examine the peak-to-peak value of work displacement. The result suggests that there is possibility that vibration cutting will process on the conditions of exceeding critical cutting speed. This paper suggests that there is possibility of speeding up the cutting speed in the vibration cutting system.
