Expression Specifications of Geometrical Products Based on Improved GPS Language

摘要

Geometrical Product Specifications (GPS) and verification cover the dimensional and geometrical tolerancing, surface properties and the related verifying principles, measuring equipment as well as the calibration requirements including the uncertainty of dimensional and geometrical measurements. For design, manufacture and verification, a consistent model for the product functional geometry is required. We analyze the relation between the geometrical product design, manufacture, and verification of the geometrical product based on the geometrical model. The mathematical tools of the geometrical specifications based on the improved GPS language are described. Operations defined in the new GPS are specific mathematical tools required to obtain ideal or non-ideal features, or values of characteristics, their nominal value and their limit(s). The operations used to define the specifications can be divided into seven classes: partitioning, extraction, filtration, association, collection, construction, and evaluation. With a simple mechanism as an example, the geometrical expression specifications for the functions, design, manufacture and verification of a product are illustrated.