Name
Abstract | ||
|---|---|---|
We present a framework for the systematic study of parametric variation in planar mechanical parts and for efficiently computing approximations of their tolerance envelopes. Part features are specified by explicit functions defining their position and shape as a function of parameters whose nominal values vary along tolerance intervals. Their tolerance envelopes model perfect form Least and Most Material Conditions (LMC/MMC). Tolerance envelopes are useful in many design tasks such as quantifying functional errors, identifying unexpected part collisions, and determining device assemblability. We derive geometric properties of the tolerance envelopes and describe four efficient algorithms for computing first-order linear approximations with increasing accuracy. Our experimental results on three realistic examples show that the implemented algorithms produce better results in terms of accuracy and running time than the commonly used Monte Carlo method. |
Year | Venue | Keywords |
|---|---|---|
2004 | SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications | unexpected part collision,planar mechanical part,better result,monte carlo method,tolerance interval,tolerance envelope,material conditions,design task,part feature,tolerance envelopes model,linear approximation,delaunay triangulation,first order,medial axis,voronoi diagram |
Field | DocType | ISBN |
Monte Carlo method,Mathematical optimization,Computer science,Medial axis,Parametric statistics,Planar,Tolerance interval,Voronoi diagram,Delaunay triangulation,Real versus nominal value | Conference | 3-905673-55-X |
Citations | PageRank | References |
2 | 0.37 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yaron Ostrovsky-berman | 1 | 30 | 3.47 |
| L Joskowicz | 2 | 107 | 11.24 |