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Topology optimization of connections in mechanical systems

Abstract : Topology optimization is commonly used for mechanical parts. It usually involves a single part and connections to other parts are assumed to be fixed. This thesis proposes an other approach of topology optimization in which connections are design variables, as well as the structure. We focus on standard long bolt with prestressed state. This connection model is idealized to be enough representative but computationally cheap. The idealized model is complemented with mechanical constraints specific to the bolt.The problem is to optimize concurrently the topology and the geometry of a structure, on the one hand, and the locations and the number of bolts, on the other hand. The elastic structure is represented by a level-set function and is optimized with Hadamard's boundary variation method. The locations are optimized using a parametric gradient-based algorithm. The concept of topological derivative is adapted to add a small idealized bolt at the best location with the optimal orientation, and thus optimizes the number of bolts. This coupled topology optimization (shape and connections) is illustrated with 2d and 3d academic test cases. It is then applied on a simplified industrial test case. The coupling provides more satisfactory performance of a part than shape optimization with fixed connections. The approach presented in this work is therefore one step closer to the optimization of assembled systems.
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https://tel.archives-ouvertes.fr/tel-03106332
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Submitted on : Monday, January 11, 2021 - 5:15:07 PM
Last modification on : Tuesday, January 12, 2021 - 3:32:45 AM

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Lalaina Rakotondrainibe. Topology optimization of connections in mechanical systems. Analysis of PDEs [math.AP]. Institut Polytechnique de Paris, 2020. English. ⟨NNT : 2020IPPAX101⟩. ⟨tel-03106332⟩

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