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Optimization of structures under buckling constraints using frame elements

Abstract : tructural optimization is of increasing interest in a wide variety of application fields. In this article, structural optimization under stress and buckling constraints is investigated. A structure comprised of a set of frame elements is considered. The aim is to obtain the minimal mass structure, by optimizing the number of frame elements and their cross sectional dimensions. A formulation as a mixed-integer nonlinear optimization problem with a tailored objective function is introduced. This cost function is a combination of the structural mass and the sum of the second moments of inertia of each structural element. Moreover, a new algorithm, tailored to the considered problem, is proposed. Numerical results show that the proposed approach provides interesting structural mass savings.
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Submitted on : Tuesday, April 3, 2018 - 11:17:57 AM
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Florian Mitjana, Sonia Cafieri, Florian Bugarin, Christian Gogu, Fabien Castanié. Optimization of structures under buckling constraints using frame elements. Engineering Optimization, Taylor & Francis, 2018, 51 (1), pp.140-159. ⟨10.1080/0305215X.2018.1444162⟩. ⟨hal-01756943⟩



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