Relative positioning of planar parts in toleranced assemblies

Y. Ostrovsky-Berman, L. Joskowicz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a framework for worst case analysis of the relative position variation of toleranced parts in assemblies. The framework is based on our general parametric tolerancing model for planar parts. We present six types of relative position constraints designed to model all types of contact and clearance specifications between features of two parts. To model the relative part position variation in the entire assembly, we introduce the assembly graph, a generalization of Latombe's relation graph that includes cycles, toleranced parts, and three degrees of freedom. We show how to compute the sensitivity matrices of each vertex from the pairwise relative position constraints and the assembly graph. These matrices serve to compute the tolerance envelopes bounding the areas occupied by the parts under all possible assembly instances.

Original languageAmerican English
Title of host publicationModels for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
PublisherKluwer Academic Publishers
Pages65-74
Number of pages10
ISBN (Print)1402054378, 9781402054372
DOIs
StatePublished - 2007
Event9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005 - Tempe, AZ, United States
Duration: 10 Apr 200512 Apr 2005

Publication series

NameModels for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005

Conference

Conference9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
Country/TerritoryUnited States
CityTempe, AZ
Period10/04/0512/04/05

Keywords

  • Geometric constraint solving
  • Part models
  • Tolerance envelopes

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