Analysis of tolerances and process inaccuracies in discrete part manufacturing

Abstract This paper discusses basic problems of tolerancing mechanical parts. The problem of part design analysis (determination of consistency, determinacy and stability) is reduced to the analysis of systems of linear inequalities. It is shown that the calculation of resulting tolerances between components of parts can be easily solved by linear programming. A method is provided for the construction of a system of inequalities which the working dimensions and inaccuracies of machining operations must satisfy if a given tolerance specification is to be met.