2013
DOI: 10.1016/j.cad.2013.06.011
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Abstract: h i g h l i g h t s • Gaps cannot be considered as random variables. • The tolerance analysis issue is formulated thanks to the quantifier notion. • Two defect probabilities are defined: functionality defect probability and assembly defect probability. • Defect probabilities are computed using a system reliability method: FORM system. One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability P D expres… Show more

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Cited by 30 publications
(18 citation statements)
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References 11 publications
(26 reference statements)
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“…One possibility to extend the proposed method is to consider reliability SA methods as in (Lemaitre et al, 2015) and combine it with the deviation characteristic concept. The relative clearance domain volume in this case should be replaced by the probability of failure, which has to be estimated numerically as in (Beaucaire et al, 2013). Therefore, this paper is a first step towards closing the gap between norm-conform tolerance simulations based on convex hull methods on the one hand and the necessity for recommendations for decision making processes on the other.…”
Section: Discussionmentioning
confidence: 99%
“…One possibility to extend the proposed method is to consider reliability SA methods as in (Lemaitre et al, 2015) and combine it with the deviation characteristic concept. The relative clearance domain volume in this case should be replaced by the probability of failure, which has to be estimated numerically as in (Beaucaire et al, 2013). Therefore, this paper is a first step towards closing the gap between norm-conform tolerance simulations based on convex hull methods on the one hand and the necessity for recommendations for decision making processes on the other.…”
Section: Discussionmentioning
confidence: 99%
“…These mathematical representations of tolerances allowed computing accumulation of the tolerances by Minkowski sums or intersections and the operations depended on the kinematic chains. Based on the definition of the probability of defects due to the manufacturing imperfections by different techniques which aim to provide suitable quality level of designed mechanical systems at lower costs, some tolerance analysis models have also been proposed which are based on the statistical analysis method [4,5,46,47].…”
Section: Technical Solutions and Analysis Approachesmentioning
confidence: 99%
“…The approach is developed for a required parametrization of surfaces to deal with defect probability computation in an assembly simulation procedure. The assembly simulation is moreover, currently based on constrained optimization problems and defect probability assessment [4,47,58]. To add value to the existing research, the proposed MMD integrates form defects into simulation.…”
Section: Overall Approach For Form Defects Modelingmentioning
confidence: 99%
“…Monte Carlo method is also widely used in tolerance analysis. Beaucaire et al [15] adopted Monte Carlo method to evaluate a predicted quality level at the design stage, while Qureshi et al [16] used the same method for over-constraint mechanisms. Dantan et al [17] simulated the influences of geometrical deviations on the geometrical behavior of the mechanism.…”
Section: Introductionmentioning
confidence: 99%