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A mixed-integer linear programming approach for global discrete size optimization of frame structures

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Details

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Subtitle of host publicationCrete; Greece; 5 June 2016 through 10 June 2016
PublisherNational Technical University of Athens
Pages3395-3408
Number of pages14
Volume2
ISBN (Electronic)9786188284401
Publication statusPublished - 2016
Publication typeA4 Article in a conference publication
EventEUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING -
Duration: 1 Jan 1900 → …

Conference

ConferenceEUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING
Period1/01/00 → …

Abstract

This paper proposes a method to solve discrete size optimization problems of frame structures to global optimality. Global optimality is guaranteed by reformulating the optimization problem as a mixed-integer linear program (MILP) and solving it with the branch-and-bound method. The presented mixed variable formulation extends the existing mixed variable formulation for size and topology optimization of truss structures. The MILP is obtained by adopting the simultaneous analysis and design approach. The variables consist of binary decision variables to select a profile section from the catalog, and state variables representing the member end forces. The equilibrium equations and member stiffness relations are included as constraints. The displacement and stress constraints are formulated such that for each member limit values are imposed at predefined locations along the member. The proposed method is applied to a three-bay three-story frame.

Keywords

  • Discrete optimization, Frame structures, Global optimization, Mixed-integer linear programs, Size optimization

Publication forum classification

Field of science, Statistics Finland