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Modèle de représentation géométrique intégrant les états physiques du produit

Abstract : This thesis introduces the concept of geometrical behavior of mechanical assembly. The geometrical behavior is constituted by a set of algebraic relations that translate the assemblability or mobility conditions of a product. It is expressed thanks to a specific geometrical model for the early phases of product design. Firstly, this work shows the interest of the geometrical behavior to tackle multi-physics problems at the early stages of product design. This part is illustrated on a ten bar pyramid subjected to mechanical and thermal strains. Secondly, this thesis proposes a coordinate free geometrical model dedicated to the representation of mobile mechanisms. This part also indicates a technique to express the mobility conditions of a loop as mathematical equations. An application of these model and technique is proposed to express the geometrical behavior of the Bennett mechanism. Finally, this work exposes a solution to associate and compare two objects described in the above-mentioned coordinate free model. This technique is useful to compare two states of the same object used under different operating conditions. It can also be used to associate ideal and real objects to tackle tolerancing issues.
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  • HAL Id : tel-00714559, version 1

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Guillaume Mandil. Modèle de représentation géométrique intégrant les états physiques du produit. Autre. Ecole Centrale Paris; Université de Sherbrooke (Québec, Canada), 2011. Français. ⟨NNT : 2011ECAP0058⟩. ⟨tel-00714559⟩

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