Synthèse de tolérance pour la conception des systèmes mécatroniques : Approche par bond graph inverse

Abstract : In the context of mechatronic systems design, this thesis addresses the problem of parametric tolerance synthesis with respect to specifications including allowable uncertainties. We consider two types of uncertainty: aleatory uncertainty and epistemic uncertainty. The methodology is based on the inversion of the bond graph model and the propagation of uncertainty from output to design parameter. Aleatory uncertainties are modeled by the density probability functions (PDF). Epistemic uncertainties are modeled by membership functions (MF). The probabilistic and fuzzy bond graph are then defined. By affecting bicausality and exploiting the bicausal bond graph model, we obtain the inverse model of the system. The PDF and MF are then propagated through the inverse model to the design parameters. We propose two approaches for the propagation of uncertainty: the global approach and the local approach. In the global approach, the output PDF and MF are propagated through the overall relation between the outputs and the design parameters (the inverse model). In the local approach, the model is divided into several sub-models and the PDF and MF are transferred from sub-model to sub-model until they reach the design parameters. We then use the obtained PDF and MF for synthesizing the tolerances of the design parameters. The proposed methodology allows the treatment of aleatory uncertainty and epistemic uncertainty by appropriate tools, in a problem of parametric tolerance synthesis including complex specifications.
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Van Hoa Nguyen. Synthèse de tolérance pour la conception des systèmes mécatroniques : Approche par bond graph inverse. Automatique / Robotique. INSA de Lyon, 2014. Français. ⟨NNT : 2014ISAL0081⟩. ⟨tel-01127644⟩

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