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

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Yksityiskohdat

AlkuperäiskieliEnglanti
OtsikkoECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
AlaotsikkoCrete; Greece; 5 June 2016 through 10 June 2016
KustantajaNational Technical University of Athens
Sivut3395-3408
Sivumäärä14
Vuosikerta2
ISBN (elektroninen)9786188284401
TilaJulkaistu - 2016
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisussa
TapahtumaEUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING -
Kesto: 1 tammikuuta 1900 → …

Conference

ConferenceEUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING
Ajanjakso1/01/00 → …

Tiivistelmä

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.

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