11th International Scientific Conference Research and Development of Mechanical Elements and Systems IRMES (2025) [pp. 83-88]
AUTHOR(S) / АУТОР(И): Nenad KOSTIĆ 
, Nenad PETROVIĆ , Vesna MARJANOVIĆ , Nenad MARJANOVIĆ
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DOI: 10.46793/IRMES25.083K
ABSTRACT / САЖЕТАК:
This research presents the additional benefits gained when using cardinality constraints in just sizing and combined sizing and shape optimization to find solutions with minimal weight while using a set number of different cross-sections allowed in the design. When limiting the number of cross-sections, an optimal solution can result in a structure with a reasonable number of different types of stock needed, unlike an approach which is unconstrained in this regard. This creates a more practical solution, which reduces the complexity of the solution and more resembles an experience-driven design, but with a lower overall weight than analytical solutions due to the optimization methods’ ability to explore practically the entire search space for a minimal weight solution. This limitation has adverse effects on the design. The downside is that the weight of the resulting structure is higher than the global optimum (one which disregards the number of different types or sizes of cross-sections used). However, it means that there are fewer different bar stock dimensions to be ordered, and less waste is created once the necessary pieces are cut from standard bar stock. The example used for these purposes is a typical optimization problem of a 17-bar truss with various numbers of different cross-sections used. The optimal solutions for this example were made using original software developed by the authors for the purposes of previously published research. Standard, available, bar stock dimensions were used in the optimization process in order to best resemble a real-world application. The results illustrate the added benefits of including fewer different bar stock types and the accompanying savings, which are indirectly created using this method.
KEYWORDS / КЉУЧНЕ РЕЧИ:
truss; optimization; sizing; shape; cardinality constraint
ACKNOWLEDGEMENT / ПРОЈЕКАТ:
This paper results from research conducted under the author’s contract No. 451-03-137/2025-03/200107, dated February 4, 2025.
REFERENCES / ЛИТЕРАТУРА:
- Mohammed, H., Abdul, Z. and Hamad, Z.: Enhancement of GWO for solving numerical functions and engineering problems. Neural Computing and Applications, Vol.36, No.7, pp. 3405- 3413, IЅЅN 0941-0643, 2023
- Shahabsafa, M., Mohammad-Nezhad, A., Terlaky, T., Zuluaga, L., He, S., Hwang, T. and Martins, J. R. R. A.: A novel approach to discrete truss design problems using mixed integer neighborhood search. Structural and Multidisciplinary Optimization, Vol.58, No.6, pp. 2411-2429, IЅЅN 1615-1488, 2018
- Avcı, M. S., Yavuz, D., Ercan, E. and Nuhoğlu, A.: Efficient Sizing and Layout Optimization of Truss Benchmark Structures Using ISRES Algorithm. Applied Sciences, Vol.14, No.8, pp. 3324, IЅЅN 2076- 3417, 2024
- Pham, H.-A. and Tran, T.-D.: Optimal truss sizing by modified Rao algorithm combined with feasible boundary search method. Expert Systems with Applications, 191, pp. 116337, IЅЅN 09574174, 2022
- Petrović, N., Kostić, N., Marjanović, N. and Marjanović, V.: Influence of Using Discrete Cross- Section Variables for All Types of Truss Structural Optimization with Dynamic Constraints for Buckling. Applied Engineering Letters, 3, No.2, pp. 78-83, IЅЅN 2466-4677, 2018
- Artar, M. and Carbas, S.: Discrete sizing design of steel truss bridges through teaching-learning-based and biogeography-based optimization algorithms involving dynamic constraints. Structures, Vol.34, pp. 3533-3547, IЅЅN 23520124, 2021
- Hasançebi, O., Çarbaş, S., Doğan, E., Erdal, F. and Saka, M. P.: Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed Computers & Structures, Vol.87, No.5-6, pp. 284-302, IЅЅN 00457949, 2009
- Awad, R.: Sizing optimization of truss structures using the political optimizer (PO) algorithm. Structures, 33, pp. 4871-4894, IЅЅN 23520124, 2021
- Bich Quyen, V. T., Khanh, C. Q., Thuy Van, T. T., Khoa, D. N. and Truc, T. P.: A New Algorithm for Size Optimization of the Truss Structures with Buckling Constraint using Finite Element Method. IOP Conference Series: Materials Science and Engineering, Vol. 661, pp. 012041, IЅЅN 1757-899X, 2019
- Petrović, N., Marjanović, V., Kostić, N., Marjanović, and Viorel Dragoi, M.: Means and Effects оf Constraining the Number of Used Cross-Sections in Truss Sizing Optimization. Transactions of FAMENA, Vol.44, No.3, pp. IЅЅN 13331124, 2020
- Kostic, N., Petrovic, N., Marjanovic, V., Nikolic, R. R., Szmidla, J., Marjanovic, N. and Ulewicz, R.: Effects of Limiting the Number of Different Cross- Sections Used in Statically Loaded Truss Sizing and Shape Optimization. Materials (Basel), Vol.17, No.6, IЅЅN 1996-1944, 2024