TY - GEN
T1 - Relative positioning of planar parts in toleranced assemblies
AU - Ostrovsky-Berman, Y.
AU - Joskowicz, L.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
KW - Geometric constraint solving
KW - Part models
KW - Tolerance envelopes
UR - http://www.scopus.com/inward/record.url?scp=84893571103&partnerID=8YFLogxK
U2 - 10.1007/1-4020-5438-6_8
DO - 10.1007/1-4020-5438-6_8
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AN - SCOPUS:84893571103
SN - 1402054378
SN - 9781402054372
T3 - Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
SP - 65
EP - 74
BT - Models for Computer Aided Tolerancing in Design and Manufacturing - Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
PB - Kluwer Academic Publishers
T2 - 9th CIRP International Seminar on Computer-Aided Tolerancing, CAT 2005
Y2 - 10 April 2005 through 12 April 2005
ER -