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Study of 3D Tolerance Modeling Method for Complex Feature Geometric Variations

The aim of this paper is to present a 3D tolerance mathematical model for complex feature geometric variations oriented the new generation Geometrical Product Specifications (GPS). According to the definition of geometric feature and taxonomy of geometric variations in the new generation GPS system, the proposed model is based on the small displacements torsor (SDT) concept, and the geometric deviations treated as relative location or rotation variations between the nominal geometry feature and the associated feature are expressed by the SDT parameters. Moreover, the tolerance models for several kinds of complex feature geometric variations are constructed and discussed. Finally, a numerical example is given to illustrate the application of the proposed tolerance model, and the results indicate that the proposed model is capable in dimensional and geometrical tolerances modeling. The model completely based on the mathematics foundation is in compliance with the current GPS standards system.