Topology optimization of truss structures under failure probability using the Bernstein approximation

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dc.coverageDOI: 10.1016/j.compstruc.2024.107295
dc.creatorCanelas, Alfredo
dc.creatorCarrasco, Miguel
dc.creatorLópez, Julio
dc.date2024
dc.date.accessioned2026-01-05T21:05:52Z
dc.date.available2026-01-05T21:05:52Z
dc.description<p>A novel topology optimization approach for the robust design of structures is presented. The method considers both deterministic and random loadings, and minimizes the compliance subject to a constraint on the volume, as well as a constraint on the failure probability. Handling the failure probability is often challenging in numerical terms, potentially leading to an intractable model as the problem scales. It is addressed by employing the Bernstein approximation, resulting in a model that has the remarkable property of being a linear conic programming problem, therefore, solvable in polynomial time with respect to the input size by using interior point methods. Furthermore, a more efficient reformulation of the problem, involving small semidefinite constraints is derived. To demonstrate the practicality of the proposed method, solutions to several examples of truss topology optimization are provided.</p>eng
dc.identifierhttps://investigadores.uandes.cl/en/publications/a89fb5ef-c252-405d-909b-01a9d58250ca
dc.identifier.urihttps://repositorio.uandes.cl/handle/uandes/62149
dc.languageeng
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.sourcevol.296 (2024) date: 2024-06-01 p.1-10
dc.subjectBernstein approximation
dc.subjectConic programming
dc.subjectReliability design optimization
dc.subjectRobust optimization
dc.subjectTopology optimization
dc.titleTopology optimization of truss structures under failure probability using the Bernstein approximationeng
dc.typeArticleeng
dc.typeArtículospa
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