Kinematic of tools for polygonal holes - Production in the real condition

Abstract

Polygonal holes can be made in many different ways. Using rotational tool for boring the polygonal holes is a very efficient way of doing it. Since, in this case, the applied tool is of a very complex movement, the variable speed of a blade of the tool must be found for the given constant angle velocity. The aim of this paper is to determine the speed of the tool's blade used for polygonal hole production. The given task will be solved using alternative mechanism and applying centrodes. Euler-Savary equation will be used for defining the path of the tool's blade at the top points, while processing the polygonal holes. After theoretical description of the kinematics problem the cutting speed will be defined too in real conditions. The proposed procedure was applied on a concrete case of polygonal hole processing with the aim of defining the velocity of tool's blade as well as of geometry of polygonal contour. The procedure is a very simple one and a very accurate one giving the precise solutions in an analytical and a graphical presentation.