Développement de méthodes probabilistes pour l'analyse des tolérances des systèmes mécaniques sur-contraints

Abstract : Tolerance analysis of mechanism aims at evaluating product quality during its design stage. Technique consists in computing a defect probability of mechanisms in large series production. An assembly condition and a functional condition are checked. Current method mixes a Monte Carlo simulation and an optimization algorithm which is too much time consuming. The objective of this thesis is to develop new efficient method based on probabilistic approach to deal with the tolerance analysis of overconstrained mechanism. First, a linearization procedure is proposed to simplify the optimization algorithm step. The impact of such a procedure on the probability accuracy is studied. To overcome this issue, iterative procedures are proposed to deal with the assembly problem. They enable to compute accurate defect probabilities in a reduced computing time. Besides, a new resolution method based on the system reliability method FORM (First Order Reliability Method) for systems was developed for the functional problem. In order to apply this method, a new system formulation of the tolerance analysis problem is elaborated. Formulation splits up the overconstrained mechanism into several isoconstrained configurations. The goal is to consider only the main configurations which lead to a failure situation. The proposed method greatly reduces the computing time allowing getting result within minutes. Low probabilities can also be reached and the order of magnitude does not influence the computing time.
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Antoine Dumas. Développement de méthodes probabilistes pour l'analyse des tolérances des systèmes mécaniques sur-contraints. Génie mécanique [physics.class-ph]. Ecole nationale supérieure d'arts et métiers - ENSAM, 2014. Français. ⟨NNT : 2014ENAM0054⟩. ⟨tel-01177079⟩

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