A Calculation Method for Three Dimensional Envelope Surface Generated by Cutting Tools in Machining Centers with Three Controllable Axes

摘要

It is required to develop the method to examine whether the shape cut by NC machine tools controlled by NC program codes is identical with the shape requested in drawings. In this report, a method to calculate any cross-section profile from the three dimensional envelope surface generated by cutting tools is proposed. If we have only the values of coordinates of tool center path, we canriot get analytically the envelope generated by cutting tool movement owing to lack of information. If the values of slope of tangent on the tool center path are given in addition to the values of tool center coordinates, we can get analytically the three dimensional envelope surface.