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A bi-level methodology for solving large-scale mixed categorical structural optimization

Barjhoux, Pierre-Jean and Diouane, Youssef and Grihon, Stéphane and Bettebghor, Dimitri and Morlier, Joseph A bi-level methodology for solving large-scale mixed categorical structural optimization. (2020) Structural and Multidisciplinary Optimization. 1-15. ISSN 1615-147X

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Official URL: https://doi.org/10.1007/s00158-020-02491-w


In this work, large-scale structural optimization problems involving non-ordinal categorical design variables and continuous variables are investigated. The aim is to minimize the weight of a structure with respect to cross-section areas, with materials and stiffening principles selection. First, the problem is formulated using a bi-level decomposition involving master and slave problems. The master problem is given by a first-order-like approximation that helps to drastically reduce the combinatorial explosion raised by the categorical variables. Continuous variables are handled in a slave problem solved using a gradient-based approach, where the categorical variables are driven by the master problem. The proposed algorithm is tested on three different structural optimization test cases. A comparison to state-of-the-art algorithms emphasize efficiency of the proposed algorithm in terms of the optimum quality, the computation cost, and the scaling with respect to the problem dimension.

Item Type:Article
HAL Id:hal-02538198
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Airbus (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > IRT Saint Exupéry - Institut de Recherche Technologique (FRANCE)
Laboratory name:
Deposited On:09 Apr 2020 09:51

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