| Title: | The MINLP approach to topology, shape and discrete sizing optimization of trusses |
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| Authors: | ID Šilih, Simon (Author)
ID Kravanja, Zdravko (Author)
ID Kravanja, Stojan (Author) |
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| Files: |  applsci-12-01459-v2.pdf (2,49 MB)
MD5: B2F1F6818EBF041177448B82862869DC
 https://www.mdpi.com/2076-3417/12/3/1459
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FKKT - Faculty of Chemistry and Chemical Engineering
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | The paper presents the Mixed-Integer Non-linear Programming (MINLP) approach to the
synthesis of trusses. The solution of continuous/discrete non-convex and non-linear optimization
problems is discussed with respect to the simultaneous topology, shape and discrete sizing optimization of trusses. A truss MINLP superstructure of different topology and design alternatives
has been generated, and a special MINLP model formulation for trusses has been developed. In the
optimization model, a mass objective function of the structure has been defined and subjected to
design, load and dimensioning constraints. The MINLP problems are solved using the Modified
Outer-Approximation/Equality-Relaxation (OA/ER) algorithm. Multi-level MINLP strategies are introduced to accelerate the convergence of the algorithm. The Modified Two-Phase and the Sequential
Two-Phase MINLP strategies are proposed in order to solve highly combinatorial topology, shape
and discrete sizing optimization problems. The importance of local buckling constraints on topology
optimization is also discussed. Some simple numerical examples are shown at the end of the paper to
demonstrate the suitability and efficiency of the proposed method. |
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| Keywords: | structural synthesis, topology optimization, discrete sizing optimization, mixed-integer non-linear programming, MINLP, modified OA/ER algorithm, multi-level MINLP strategies, steel structures, trusses |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 20.12.2021 |
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| Article acceptance date: | 26.01.2022 |
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| Publication date: | 29.01.2022 |
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| Publisher: | MDPI |
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| Year of publishing: | 2022 |
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| Number of pages: | 36 str. |
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| Numbering: | Vol. 12, iss. 3 |
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| PID: | 20.500.12556/DKUM-92020  |
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| UDC: | 624.014.27:519.85 |
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| ISSN on article: | 2076-3417 |
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| COBISS.SI-ID: | 96336899 |
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| DOI: | 10.3390/app12031459 |
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| Copyright: | © 2022 by the authors |
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| Publication date in DKUM: | 11.03.2025 |
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| Views: | 0 |
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| Downloads: | 12 |
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| Metadata: |    |
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| Categories: | Misc.
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