Geometric Analysis of Undeformed Chip Thickness in Ball-Nosed End Milling

Abstract

This paper clarifies the analysis method for the undeformed chip thickness and the geometric influence of the tool orientation on the ball-nosed end milling. It has been firstly pointed out that the geometric situations on the determination of the thickness are categorized in three cases based on the relationship among the milling parameters. Secondly each corresponding case has been reduced into a comprehensive equation with introducing a coordinate system of tool axis orientation. Then the result of analysis has been shown in graphics. Through the analysis of the equations, the tool axis orientation had directly influenced to the undeformed chip thickness. Besides, the possibility of estimating the machining error or the tool damage using this geometric analysis is pointed out.