A statistical tolerance analysis approach for over-constrained mechanism based on optimization and Monte Carlo simulation
Article dans une revue avec comité de lecture
Tolerancing decisions can profoundly impact the quality and cost of the mechanism. To evaluate the impact of tolerance on mechanism quality, designers need to simulate the influences of tolerances with respect to the functional requirements. This paper proposes a mathematical formulation of tolerance analysis which integrates the notion of quantifier: ‘‘For all acceptable deviations (deviations which are inside tolerances), there exists a gap configuration such as the assembly requirements and the behavior constraints are verified’’ & ‘‘For all acceptable deviations (deviations which are inside tolerances), and for all admissible gap configurations, the assembly and functional requirements and the behavior constraints are verified’’. The quantifiers provide a univocal expression of the condition corresponding to a geometrical product requirement. This opens a wide area for research in tolerance analysis. To solve the mechanical problem, an approach based on optimization is proposed. Monte Carlo simulation is implemented for the statistical analysis. The proposed approach is tested on an over-constrained mechanism.
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Communication avec acteGAYTON, Nicolas; ETIENNE, Alain; QURESHI, Ahmed Jawad; DUMAS, Antoine; DANTAN, Jean-Yves (AIP PRIMECA, 2012)The aim of this paper is to provide an overview of tolerance analysis. Tolerancing decisions can profoundly impact the quality and cost of product. There is a strong need for increased attention to tolerance design to ...
Communication avec acteGAYTON, N.; QURESHI, Ahmed Jawad; LEMAIRE, Maurice; ETIENNE, Alain; DANTAN, Jean-Yves (Elsevier, 2013)Uncertainty is ubiquitous in tolerance analysis problem. This paper deals with tolerance analysis formulation, more particularly, with the uncertainty which is necessary to take into account into the foundation of this ...
Article dans une revue avec comité de lectureBEAUCAIRE, Paul; GAYTON, Nicolas; DUC, Emmanuel; LEMAIRE, Maurice; DANTAN, Jean-Yves (Elsevier, 2012)The quality level of a mechanism can be evaluated a posteriori after several months by following the number of warranty returns. However, it is more interesting to evaluate a predicted quality level in the design stage: ...
Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods Article dans une revue avec comité de lectureOne 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 PD expressed in parts per million (ppm). It represents ...
Article dans une revue avec comité de lectureOne of the aim of statistical tolerance analysis is to evaluate a predicted quality level in the design stage. A method consists in computing the defect probability D P expressed in parts per million (ppm). It represents ...