Using Small Displacement Torsor to Simulate the Machining Processes for 3D Tolerance Transfer

Abstract

Abstract This paper proposes a method for 3D tolerance transfer by using small displacement torsor (SDT) to simulate the machining processes. In this method, the machining process of a mechanical part is regarded as a mechanism mainly composed of machine tool, part-holders, machined part, and cutting tools. And the small displacement torsors are employed to describe all defects in the machining process including the variation deviations of the machined surfaces of a part with regards to their nominal positions, the gap deviations associated to each joint between two contact surfaces, etc. Then, the 3D manufacturing tolerancing chains based on the functional tolerances can be established to realize 3D tolerance transfer. The proposed method is applied to a machining part to demonstrate its effectiveness.