On the Analysis of Random Errors in Precision Grinding Operations

Abstract

The concept of random variables as used in the theory of probability is applied to machining operations, in which the input stock, hardness, stock distributions, etc., vary. Output errors are calculated in terms of input variations and machining time, specifically for grinding operations. In particular, output size errors are related to input stock variations as well as variations of wheel sharpness. Variations in runout or ecccentricity are related to the initial runout and stock. A dimensionless variable for comparing metal-cutting machine tools is also introduced which permits an estimate of elastically produced errors. Transient forces on grinding wheels are also considered.