Mathematical issues in mechanical tolerance analysis
TypeCommunications avec actes
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 enable high-precision assemblies to be manufactured at lower costs. Indeed, tolerance analysis is a key element in industry for improving product quality. Designers want tight tolerances to assure product performance; manufacturers prefer loose tolerances to reduce cost. There is a critical need for a quantitative design tool for specifying tolerances. Tolerance analysis brings the engineering design requirements and manufacturing capabilities together in a common model, where the effects of tolerance specifications on both design and manufacturing requirements can be evaluated quantitatively. Significant amount of literature is related to tolerancing methods. Summaries of state of the art, the most recent developments, and the future trends in tolerancing research can be found. This paper provides a classification of the issues from a mathematical point of view.
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DANTAN, Jean-Yves; GAYTON, N.; QURESHI, Ahmed Jawad; LEMAIRE, Maurice; ETIENNE, Alain (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 ...
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 ...
Management of product characteristics uncertainty based on Formal Logic and Characteristics Properties Model DANTAN, Jean-Yves; QURESHI, Ahmed Jawad; ANTOINE, Jean-François; EISENBART, Boris; BLESSING, Lucienne (Elsevier, 2013)Uncertainty in product characteristics is ubiquitous in any engineering system at all the stages of product life-cycle. Considering uncertainty from different sources during the product design phase is critical to its ...
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, ...
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 ...