2009
DOI: 10.1007/s00170-009-2400-5
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Variational modeling and assembly constraints in tolerance analysis of rigid part assemblies: planar and cylindrical features

Abstract: In this paper, a general methodology to do tolerance analysis of rigid assemblies is proposed. Firstly, tolerance specification sets, according to GD&T or ISO specifications, are translated into variational features by using 4×4 homogenous transformation matrices. In particular, planar and cylindrical features are considered. Then, once all variational features are modeled, assembly constraints among parts are introduced. To solve assembly constraints, an assembly transformation matrix is evaluated. By using p… Show more

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Cited by 39 publications
(27 citation statements)
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“…Assembly Constraints, specified in the previous step forms input to VRM [14], which generates geometric variations of DPs based on Monte-Carlo Simulation. Optimal assembly configuration for a set of DPs is determined and FRs are measured as clearance or interference between pre-defined inspection points on the planar or cylindrical features.…”
Section: Simulate Dps and Frs By Variation Response Methods (Vrm) -Variamentioning
confidence: 99%
“…Assembly Constraints, specified in the previous step forms input to VRM [14], which generates geometric variations of DPs based on Monte-Carlo Simulation. Optimal assembly configuration for a set of DPs is determined and FRs are measured as clearance or interference between pre-defined inspection points on the planar or cylindrical features.…”
Section: Simulate Dps and Frs By Variation Response Methods (Vrm) -Variamentioning
confidence: 99%
“…The proposed model in this paper is considered as a tool for visualization and tolerance impact analysis (interference detection) in the assembly simulation case. The second aspect addressed in the literature appears to be closest to this work [22,[25][26][27][28]. Indeed, we can learn a great deal from the methods used in this second aspect, and apply them to solve some issues of the problem as contemplated: Using the OFA to update the mating constraints, the choice of the assembly (sequential assembly), using the parametric variational features to generate the assembly component configurations.…”
Section: Synthesismentioning
confidence: 99%
“…The mobilities between different parts of the gauge are considered the function of the other parts of the mechanical system. Franciosa et al developed a tolerance analysis model [28]. To simulate variational features of rigid-part assemblies, the authors used the Statistical Variational Analysis for tolerancing (SVA-TOL).…”
Section: Generation Of the Realistic Configurations And The Redefinitmentioning
confidence: 99%
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“…For example, LI and ROY [10] propose a relative positioning scheme, which is used to determine the positions of variant polyhedral parts in 3D assemblies. Furthermore, a numerical procedure for the assembly simulation among variational features has been proposed in [11,12]. Both approaches can be used to model and simulate assemblies with variant parts, but lack of form deviation considerations.…”
Section: Representationmentioning
confidence: 99%