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A Bilevel Methodology for solving a Structural Optimization Problem with both Continuous and Categorical Variables

Abstract : In industrial structural optimization problems, two kinds of variables are involved : continuous variables, like geometrical parameters, and categorical variables like choices of material and cross-sectional shapes. A key difficulty of this kind of problem is the sensitivity of the computation cost with respect to the number of categorical design variables. In this article, a new methodology is proposed to address this mixed continuous-categorical structural optimization problem. For this purpose, a 10-bar truss test case representative for industrial design is introduced. Promising results have been obtained in terms of computation cost, compared to approaches based on combinatorial algorithms.
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https://hal.archives-ouvertes.fr/hal-01851977
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Submitted on : Tuesday, July 31, 2018 - 1:25:04 PM
Last modification on : Wednesday, September 9, 2020 - 4:57:38 PM
Long-term archiving on: : Thursday, November 1, 2018 - 1:46:28 PM

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Pierre-Jean Barjhoux, Youssef Diouane, Stéphane Grihon, Dimitri Bettebghor, Joseph Morlier. A Bilevel Methodology for solving a Structural Optimization Problem with both Continuous and Categorical Variables. 2018 Multidisciplinary Analysis and Optimization Conference, AIAA AVIATION Forum, Jun 2018, Atlanta, Georgia, United States. pp.1-16, ⟨10.2514/6.2018-3579⟩. ⟨hal-01851977⟩

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