Optimization of structures under buckling constraints using frame elements. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Mitjana, Florian; Cafieri, Sonia; Bugarin, Florian; Gogu, Christian; Castanie, Fabien
• Is Part Of: Engineering optimization. Volume 51:Issue 1(2019)
• Page Start: 140
• Page End: 159
• Publication Date: 2019-01-02
• Subjects: Structural optimization -- buckling -- frame elements; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1444162
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: Structural 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.