Transactions of FAMENA, Vol. 44 No. 3, 2020.
Izvorni znanstveni članak
https://doi.org/10.21278/TOF.44303
Means and Effects оf Constraining the Number of Used Cross-Sections in Truss Sizing Optimization
Nenad Petrović
orcid.org/0000-0002-7563-9883
; University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia
Vesna Marjanović
orcid.org/0000-0001-6266-5540
; University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia
Nenad Kostić
orcid.org/0000-0002-0157-7501
; University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia
Nenad Marjanović
orcid.org/0000-0002-8441-4328
; University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia
Mircea Viorel Dragoi
; Universitatea Transilvania Brasov, Brașov, Romania
Sažetak
This paper looks at sizing optimization results, and attempts to show the practical implications of using a novel constraint. Most truss structural optimization problems, which consider sizing in order to minimize weight, do not consider the number of different cross-sections that the optimal solution can have. It was observed that all, or almost all, cross-sections were different when conducting the sizing optimization. In practice, truss structures have a small, manageable number of different cross-sections. The constraint of the number of different cross-sections, proposed here, drastically increases the complexity of solving the problem. In this paper, the number of different cross-sections is limited, and optimization is done for four different sizing optimization problems. This is done for every number of different cross-section profiles which is smaller than the number of cross-sections in the optimal solution, and for a few numbers greater than that number. All examples are optimized using dynamic constraints for Euler buckling and discrete sets of cross-section variables. Results are compared to the optimal solution without a constrained number of different cross-sections and to an optimal model with just a single cross-section for all elements. The results show a small difference between optimal solutions and the optimal solutions with a limited number of different profiles which are more readily applicable in practice.
Ključne riječi
truss optimization; cross-sections; Euler buckling; sizing; optimization constraints
Hrčak ID:
245081
URI
Datum izdavanja:
29.10.2020.
Posjeta: 1.726 *