Swept envelopes of cutting tools in integrated machine and workpiece error budgeting

Abstract

This paper presents closed form equations for calculating discrete points on the surface of a machined part given the shape and the motion function of the cutting tool This permits rapid calculation of the effect of machine tool geometric errors on the shape of the machined part A valve grinding machine serves as an example application of the equations. The proper profile of the grinding wheel is derived based on the desired profile of the valve The model is also used to estimate acceptable magnitudes of errors in the machine based on desired part tolerances.