Abstract
This paper studies the relation between the surface roughness and the over lap factor in the vibration cutting system experimentally. The over lap factor is a constant cutting parameter to explain the occurrence of the regenerative chatter, and it varies from 0 to 1 as the shape of tool or the feed rate varied. We cut S45C work-pieces by a vibration cutting device in the suitable cutting speed ν<ν_c=2παf (α is tool amplitude, f is tool frequency). Our varied parameters are entering angle, cutting depth, and feed rate. The over lap factor is calculated as a function of the entering angle and the feed rate. As a result of our experiments, the measured surface roughness is good agreement with the theoretical surface roughness. This result shows the shape of tool is printed on the work-pieces exactly, and the work-pieces' vibrations created by the vibration cutting are very small. Our experiments also show that to increase the entering angle is effective at decreasing the maximum height roughness. When the entering angle is 85deg, both the value of measured surface roughness and the over lap factor are the smallest on our experimental conditions. The regenerative chatter cannot occur in the condition, because the overlap factor is very small.
