A new system formulation for the tolerance analysis of overconstrained mechanisms
TypeArticles dans des revues avec comité de lecture
The goal of tolerance analysis is to verify whether design tolerances enable a mechanism to be functional. The current method consists in computing a probability of failure using Monte Carlo simulation combined with an optimization scheme called at each iteration. This time consuming technique is not appropriate for complex overconstrained systems. This paper proposes a transformation of the current tolerance analysis problem formulation into a parallel system probability assessment problem using the Lagrange dual form of the optimization problem. The number of events being very large, a preliminary selective search algorithm is used to identify the most contributing events to the probability of failure value. The First Order Reliability Method (FORM) for systems is eventually applied to compute the probability of failure at low cost. The proposed method is tested on an overconstrained mechanism modeled in three dimensions. Results are consistent with those obtained with the Monte Carlo simulation and the computing time is significantly reduced.
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DUMAS, Antoine; ECHARD, Benjamin; GAYTON, Nicolas; ROCHAT, Olivier; DANTAN, Jean-Yves; VAN DER VEEN, Sjoerd (Elsevier, 2013)Tolerance verification permits to check the product conformity and to verify assumptions made by the designer. For conformity assessment, the uncertainty associated with the values of the measurands must be known. In fact, ...
DANTAN, Jean-Yves; GAYTON, Nicolas; ETIENNE, Alain; QURESHI, Ahmed Jawad; DUMAS, Antoine (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 ...
Impact of a behavior model linearization strategy on the tolerance analysis of over-constrained mechanisms DUMAS, Antoine; DANTAN, Jean-Yves; GAYTON, Nicolas (Elsevier, 2015)All manufactured products have geometrical variations which may impact their functional behavior. Tolerance analysis aims at analyzing the influence of these variations on product behavior, the goal being to evaluate the ...
DUMAS, Antoine; DANTAN, Jean-Yves; GAYTON, Nicolas; BLES, Thomas; LOEBL, Robin (Zhejiang University Press, 2015)Tolerance analysis consists of analyzing the impact of variations on the mechanism behavior due to the manufacturing process. The goal is to predict its quality level at the design stage. The technique involves computing ...
A statistical tolerance analysis approach for over-constrained mechanism based on optimization and Monte Carlo simulation QURESHI, Ahmed Jawad; DANTAN, Jean-Yves; SABRI, Vahid; BEAUCAIRE, Paul; GAYTON, Nicolas (Elsevier, 2012)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 ...