Truss geometry and topology optimization with global stability constraints

Alemseged Weldeyesus, Jacek Gondzio, Linwei He, Matthew Gilbert, Paul Shepherd, Andy Tyas

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce geometry optimization into an existing topology optimization workflow for truss structures with global stability constraints, assuming a linear buckling analysis. The design variables are the cross-sectional areas of the bars, and the coordinates of the joints. This makes the optimization problem formulations highly nonlinear and yields nonconvex semidefinite programming problems, for which there are limited available numerical solvers compared with other classes of optimization problems. We present problem instances of truss geometry and topology optimization with global stability constraints solved using a standard primal-dual interior point implementation. During the solution process, both the cross-sectional areas of the bars and the coordinates of the joints are concurrently optimized.
Additionally, we apply adaptive optimization techniques to allow the joints to navigate larger move limits and to improve the quality of the optimal designs.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Early online date18 Aug 2020
DOIs
Publication statusE-pub ahead of print - 18 Aug 2020

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