Elsevier

Procedia CIRP

Volume 75, 2018, Pages 220-225
Procedia CIRP

Statistical Tolerance Analysis with T-Maps for Assemblies

https://doi.org/10.1016/j.procir.2018.02.021Get rights and content
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Abstract

The T-Map® (Tolerance-Map®) model for representing geometric variations of planar surfaces is extended to include probabilistic representations of variations of those surfaces. T-Maps are hypothetical volume of points, which can arise from tolerances on size, position, orientation, and form. The variations of a planar surface are decomposed into manufacturing and geometric bias. Statistical accumulation of variation in an assembly is computed using convolution of T-Maps. The dimension of interest is mapped to a surface Sc in the hypothetical Euclidean space. Probability distribution is then computed as weighted surface area of intersection of the surface Sc with the convolved accumulation T-Map.

Keywords

Statistical Tolerance Analysis
Assemblies
Convolution

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