Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2023, Cilt: 15 Sayı: 1, 1 - 18, 03.05.2023

Muhammed Çoşut Gebrail Bekdaş Sinan Melih Nigdeli

https://doi.org/10.24107/ijeas.1232408

Öz

Kaynakça

  • Bekdaş, G., Niğdeli, S. M., Yang, X.S., A novel bat algorithm based optimum tuning of mass dampers for improving the seismic safety of structures. Engineering Structures, 159, 89-98, 2018.
  • Wang, S., Peng J., Kang, S., Evaluation of Compressive Arch Action of Reinforced Concrete Beams and Development of Design Method. Engineering Structures, 191, 479-492, 2019.
  • Yücel, M., Bekdaş, G., Nigdeli S. M., Minimizing the Weight of Cantilever Beam via Metaheuristic Methods by Using Different Population-Iteration Combinations. WSEAS Transactions on Computers, 19, 69-77, 2020.
  • Nesheim S., Mela K., Malo K. A., Labonneta N., Optimization framework for cost and carbon emission of timber floor elements. Engineering Structures, 252, 113485, 2022.
  • Seyyedabbasi, A., WOASCALF: A new hybrid whale optimization algorithm based on sine cosine algorithm and levy flight to solve global optimization problems. Advances in Engineering Software, 179-103272, 2022.
  • Çoşut, M., Bekdaş, G., Niğdeli, S.M. Cost Optimization and Comparison of Rectangular Cross-section Reinforced Concrete Beams Using TS500, Eurocode 2, and ACI 318 Code. Proceedings of 7th International Conference on Harmony Search, Soft Computing and Applications, Lecture Notes on Data Engineering and Communications Technologies, 140, 83-91, 2022.
  • Cakiroglu, C., Islam, K., Bekdaş, G., Billah, M., CO2 Emission and Cost Optimization of Concrete-Filled Steel Tubular (CFST) Columns Using Metaheuristic Algorithms. Sustainability, 13 (14): 8092, 2021.
  • Cakiroglu, C., Bekdaş, G., Kim, S., Geem, Z. W., Optimisation of Shear and Lateral-Torsional Buckling of Steel Plate Girders Using Meta-Heuristic Algorithms. Applied Sciences, 10 (10): 3639, 2020.
  • Cakiroglu, C., Islam, K., Bekdaş, G., Kim, S., Geem, Z. W., Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs, Coatings, 11 (10): 1235, 2021.
  • Chakrabarty, B. K., Model for Optimal Design of Reinforced Concrete Beam. Journal of Structural Engineering,118 (11), 1992.
  • Bekdaş, G., Niğdeli, S. M., Optimum design of reinforced concrete beams using teaching-learning based optimization. International Conference on Optimization Techniques in Engineering, 3, 7-9, 2015.
  • Zivari, A., Habibi, A., Khaledy, N., Development of an analytical method for optimum design of reinforced concrete beams considering both flexural and shear effects. Computers and Concrete an International Journal, 117-123, 2019.
  • Guerra, A., Kiousis, P. D., Design optimization of reinforced concrete structures. Computer and Concrete, 313-334, 2006.
  • Chutani, S., Singh, J., Design Optimization of Reinforced Concrete Beams. Journal of The Institution of Engineers (India): Series A, 98, 429-435, 2017.
  • Nigdeli, S. M., Bekdaş, G., Optimum Design of RC Continuous Beams Considering Unfavourable Live-Load Distributions, KSCE Journal of Civil Engineering, 21(4), 1410-1416, 2017.
  • Coello, C. C., Hernandez, F. S., Ferrera, F. A., Optimal design of reinforced concrete beams using genetic algorithms. Expert Syst. Appl., 12(1), 101-108, 1997.
  • Ulusoy, S., Kayabekir, A. E., Bekdaş, G., Nigdeli, S. M., Metaheuristic algorithms in optimum design of reinforced concrete beam by investigating strength of concrete. Challenge Journal of Concrete Research Letters, 11 (2), 26-30, (2020).
  • Ulusoy, S., Kayabekir, A. E., Bekdaş, G., Nigdeli, S. M., Optimum Design of Reinforced Concrete Multi-Story Multi-Span Frame Structures under Static Loads. International Journal of Engineering and Technology, 10 (5), 26-30, (2018).
  • ACI 318-95., Building code requirement for structural concrete and commentary, 1995.
  • Eurocode 2., Design of Concrete Structures – Part 1-1: General Rules and rules for buildings, EN-1-2, 1991.
  • Turkish Standardization Institute., "Design and Construction of Concrete Structures", Ankara, Turkey, TS500, 2000.
  • Pierott, R., Hammad, A. W. A., Haddad, A., Garcia, S., Falcon, G., A Mathematical Optimization Model for the Design and Detailing of Reinforced Concrete Beams. English Structure, 245, 112861, 2021.
  • Kulkarni, A. R., Bhusare, V., Structural optimization of reinforced concrete structures. Int. J. Eng. Res., 5(07), 123-127, 2016.
  • Zhao, S., Guo, J., Investigation on Electrochemical Repair of Reinforced Concrete Structure Cracks and Their Bonding Performance. Alexandria Engineering Journal, 2022.
  • Tabsh, S. W., Safety of reinforced concrete members designed following ACI 318 building code. Engineering Structures, 19(10), 843-850, 1997.
  • Doğangün A., Calculation and Design of Reinforced Concrete Structures, Birsen Publishing and Distribution, 2019.
  • Xu, A., Li, S., Fu, J., Misra, A., Zhao, R., A hybrid method for optimization of frame structures with good constructability. Engineering Structures, 276,115336, 2023.
  • Ma, Y., Chen, R., Bai, J, Zuo, W., Shape optimization of thin-walled cross section for automobile body considering stamping cost, manufacturability and structural stiffness. Int. J. Automot. Technology, 21 (503), 12, 2020.
  • Zuo, W. J., Bai, J. T., Cross-sectional shape design and optimization of automotive body with stamping constraints. Int. J. Automot. Technol., 17:1003–11, 2016.
  • Jootoo, A., Lattanzi, D., Hybridizing topology optimization and evolutionary computation to support computer-aided engineering design. Presented at the ASCE International Workshop on Computing in Civil Engineering, 18–25, 2017.
  • Zhang, Z, Ding, S., Jia, W., A hybrid optimization algorithm based on cuckoo search and differential evolution for solving constrained engineering problems. Eng. Appl. Artif. Intell., 85, 254–68, 2019.
  • Karaboga, D., An idea based on Honey Bee Swarm for Numerical Optimization. Technical Report-TR06, 1-10, 2005.
  • Bekdaş, G., Nigdeli, M. N., Yücel, M., & Kayabekir, A. E., Yapay Zeka Optimizasyon Algoritmaları ve Mühendislik Uygulamaları, Seçkin Yayıncılık, Ankara, 2021.
  • Rao, R.V., Teaching-learning based optimization: A novel method for constrained mechanical design optimization problems. Computer Aided Design, 43, 303-315, 2011.
  • Öztürk, H.T., Dede, T., Türker, E., Optimum design of reinforced concrete counterfort retaining walls using TLBO, Jaya algorithm. Structures, 25, 285-296, 2020.
  • Qin, A. K., Huang, V. L., Suganthan, P. N., Differential Evolution Algorithm with Strategy Adaptation for Global Numerical Optimization. IEEE Transactions on Evolutionary Computation, 13(2), 398-417, 2009.
  • Storn, R., On the usage of differential evolution for function optimization. In Biennial Conference of the North American Fuzzy Information Processing Society – NAFIPS. IEEE, 519–523, 1996.
  • Wu, C. Y., Tseng, K. Y., Truss structure optimization using adaptive multi-population differential evolution. Struct. Multidiscip. Optim., 42(4), 575–90, 2010.
  • Donate, J. P., Li X., Sanchez. G. G., de Miguel, A. S., Time series forecasting by evolving artificial neural networks with genetic algorithms, differential evolution and estimation of distribution algorithm. Neural Comput. Appl., 22(1), 11–20, 2013.
  • Lee, A. L., Nguyen, T. T., Ho, H. V., Dang, T. H, Bui, X. T., Static and frequency optimization of folded laminated composite plates using an adjusted Differential Evolution algorithm and a smoothed triangular plate element. Compos Struct., 127:382–94, 2015.
  • Rogalsky, T., Derksen, R. W., Kocabiyik, S., Differential evolution in aerodynamic optimization. in Proc. 46th Annu. Conf. of Can. Aeronaut. Space Inst., Montreal, QC, Canada, May, 29–36, 1999.
  • Omran, M. G. H., Mahdavi, M., Global-Best Harmony Search. Applied Mathematics and Computation, 198, 543-656, 2008.
  • Tang, H., Huynh, T.N., Lee, J., A novel adaptive 3-stage hybrid teaching-based differential evolution algorithm for frequency-constrained truss designs. Structures, 38, 934-348, 2022.
  • Ficarelli, E., Lamberti, L., Degertekin S. O., Comparison of three novel hybrid metaheuristic algorithms for structural optimization problems. Computers and Structures, 244-106395, 2021.
  • Rao, R. V., Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems. International Journal of Industrial Engineering Computations, 7, 19-34, 2016.
  • Warid, W., Hizam, H., Mariun, N., Abdul-Wahab, N. I., Optimal Power Flow Using the Jaya Algorithm. Energies, 9,678, 2016.
  • Yang, X. S., Harmony Search as a Metaheuristic Algorithm. Studies in Computational Intelligence, 191, 1-14, 2009.
  • Bekdaş, G., Cakiroglu, C., Kim, S., Geem, Z. W., Optimization and Predictive Modelling of Reinforced Concrete Circular Columns. Materials, 15 (19): 6624, 2022.
  • Bekdaş, G., Cakiroglu, C., Islam, K., Kim, S., Geem, Z. W., Optimum Design of Cylindrical Walls Using Ensemble Learning Methods. Applied Science, 12 (4): 2165, 2022.
  • Bekdaş, G., Cakiroglu, C., Kim, S., Geem, Z. W., Optimal Dimensioning of Retaining Walls Using Explainable Ensemble Learning Algorithms, Materials, 15 (14): 4993, 2022.
  • Geem, Z.W., Cho, Y.H. Optimal design of water distribution networks using parameter-setting-free harmony search for two major parameters. J. Water Resour. Plan. Manag., 137, 377–380, 2011.
  • Cakiroglu, C., Bekdaş, G., Geem, Z. W., Harmony Search Optimization of Dispersed Laminated Composite Plates, Materials, 13 (12): 2862, 2020.
  • Degertekin S.O. Optimum design of steel frames using harmony search algorithm. Struct. Multidiscip. Optim. 36:393–401, 2007.
  • Yang, X. S. (2012). Flower pollination algorithm for global optimization. In Unconventional Computation and Natural Computation: 11th International Conference, UCNC 2012, Orléan, France, September 3-7, 2012. Proceedings 11 (pp. 240-249). Springer Berlin Heidelberg.

Comparison of different regulations and metaheuristic algorithms in beam design

Yıl 2023, Cilt: 15 Sayı: 1, 1 - 18, 03.05.2023

Muhammed Çoşut Gebrail Bekdaş Sinan Melih Nigdeli

https://doi.org/10.24107/ijeas.1232408

Öz

In this first study, the rectangular reinforced concrete beam’s costs and cross-section sizes are found by using Harmony Search (HS), Differential Evolution Algorithm (DE), Jaya Algorithm, Teaching- Learning Based Algorithm (TLBO), Hybrid algorithm (Jaya-TLBO) and Flower Pollination Algorithm (FPA) separately by using ACI 318 building code. In addition, in order to better see how successful the algorithms are, the standard deviation of the algorithms used in the project in a certain number of iterations, price changes and in which iteration the minimum cost is compared. As a result of running different algorithms 5, 10, 15 and 20 times, separate values are recorded, and the average number of iterations of the algorithms for each is shown by finding the standard deviation values. Furthermore, Hybrid Algorithm reached the objective function in fewer iterations and their standard deviations reached 0 earlier. In the second study, the beam design is made according to the ACI 318, TS500 and Eurocode 2 regulations under certain loads by using a Hybrid Algorithm with different concrete classes. Optimization of this design is made using the Matlab program, and comparisons are made between regulations. Eurocode and TS500 design costs are roughly the same; however, ACI 318’s design is the cheapest.

Anahtar Kelimeler

Beam Design Metaheuristic Algorithms Building codes Cost Optimization Hybrid Algorithm.

Kaynakça

  • Bekdaş, G., Niğdeli, S. M., Yang, X.S., A novel bat algorithm based optimum tuning of mass dampers for improving the seismic safety of structures. Engineering Structures, 159, 89-98, 2018.
  • Wang, S., Peng J., Kang, S., Evaluation of Compressive Arch Action of Reinforced Concrete Beams and Development of Design Method. Engineering Structures, 191, 479-492, 2019.
  • Yücel, M., Bekdaş, G., Nigdeli S. M., Minimizing the Weight of Cantilever Beam via Metaheuristic Methods by Using Different Population-Iteration Combinations. WSEAS Transactions on Computers, 19, 69-77, 2020.
  • Nesheim S., Mela K., Malo K. A., Labonneta N., Optimization framework for cost and carbon emission of timber floor elements. Engineering Structures, 252, 113485, 2022.
  • Seyyedabbasi, A., WOASCALF: A new hybrid whale optimization algorithm based on sine cosine algorithm and levy flight to solve global optimization problems. Advances in Engineering Software, 179-103272, 2022.
  • Çoşut, M., Bekdaş, G., Niğdeli, S.M. Cost Optimization and Comparison of Rectangular Cross-section Reinforced Concrete Beams Using TS500, Eurocode 2, and ACI 318 Code. Proceedings of 7th International Conference on Harmony Search, Soft Computing and Applications, Lecture Notes on Data Engineering and Communications Technologies, 140, 83-91, 2022.
  • Cakiroglu, C., Islam, K., Bekdaş, G., Billah, M., CO2 Emission and Cost Optimization of Concrete-Filled Steel Tubular (CFST) Columns Using Metaheuristic Algorithms. Sustainability, 13 (14): 8092, 2021.
  • Cakiroglu, C., Bekdaş, G., Kim, S., Geem, Z. W., Optimisation of Shear and Lateral-Torsional Buckling of Steel Plate Girders Using Meta-Heuristic Algorithms. Applied Sciences, 10 (10): 3639, 2020.
  • Cakiroglu, C., Islam, K., Bekdaş, G., Kim, S., Geem, Z. W., Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs, Coatings, 11 (10): 1235, 2021.
  • Chakrabarty, B. K., Model for Optimal Design of Reinforced Concrete Beam. Journal of Structural Engineering,118 (11), 1992.
  • Bekdaş, G., Niğdeli, S. M., Optimum design of reinforced concrete beams using teaching-learning based optimization. International Conference on Optimization Techniques in Engineering, 3, 7-9, 2015.
  • Zivari, A., Habibi, A., Khaledy, N., Development of an analytical method for optimum design of reinforced concrete beams considering both flexural and shear effects. Computers and Concrete an International Journal, 117-123, 2019.
  • Guerra, A., Kiousis, P. D., Design optimization of reinforced concrete structures. Computer and Concrete, 313-334, 2006.
  • Chutani, S., Singh, J., Design Optimization of Reinforced Concrete Beams. Journal of The Institution of Engineers (India): Series A, 98, 429-435, 2017.
  • Nigdeli, S. M., Bekdaş, G., Optimum Design of RC Continuous Beams Considering Unfavourable Live-Load Distributions, KSCE Journal of Civil Engineering, 21(4), 1410-1416, 2017.
  • Coello, C. C., Hernandez, F. S., Ferrera, F. A., Optimal design of reinforced concrete beams using genetic algorithms. Expert Syst. Appl., 12(1), 101-108, 1997.
  • Ulusoy, S., Kayabekir, A. E., Bekdaş, G., Nigdeli, S. M., Metaheuristic algorithms in optimum design of reinforced concrete beam by investigating strength of concrete. Challenge Journal of Concrete Research Letters, 11 (2), 26-30, (2020).
  • Ulusoy, S., Kayabekir, A. E., Bekdaş, G., Nigdeli, S. M., Optimum Design of Reinforced Concrete Multi-Story Multi-Span Frame Structures under Static Loads. International Journal of Engineering and Technology, 10 (5), 26-30, (2018).
  • ACI 318-95., Building code requirement for structural concrete and commentary, 1995.
  • Eurocode 2., Design of Concrete Structures – Part 1-1: General Rules and rules for buildings, EN-1-2, 1991.
  • Turkish Standardization Institute., "Design and Construction of Concrete Structures", Ankara, Turkey, TS500, 2000.
  • Pierott, R., Hammad, A. W. A., Haddad, A., Garcia, S., Falcon, G., A Mathematical Optimization Model for the Design and Detailing of Reinforced Concrete Beams. English Structure, 245, 112861, 2021.
  • Kulkarni, A. R., Bhusare, V., Structural optimization of reinforced concrete structures. Int. J. Eng. Res., 5(07), 123-127, 2016.
  • Zhao, S., Guo, J., Investigation on Electrochemical Repair of Reinforced Concrete Structure Cracks and Their Bonding Performance. Alexandria Engineering Journal, 2022.
  • Tabsh, S. W., Safety of reinforced concrete members designed following ACI 318 building code. Engineering Structures, 19(10), 843-850, 1997.
  • Doğangün A., Calculation and Design of Reinforced Concrete Structures, Birsen Publishing and Distribution, 2019.
  • Xu, A., Li, S., Fu, J., Misra, A., Zhao, R., A hybrid method for optimization of frame structures with good constructability. Engineering Structures, 276,115336, 2023.
  • Ma, Y., Chen, R., Bai, J, Zuo, W., Shape optimization of thin-walled cross section for automobile body considering stamping cost, manufacturability and structural stiffness. Int. J. Automot. Technology, 21 (503), 12, 2020.
  • Zuo, W. J., Bai, J. T., Cross-sectional shape design and optimization of automotive body with stamping constraints. Int. J. Automot. Technol., 17:1003–11, 2016.
  • Jootoo, A., Lattanzi, D., Hybridizing topology optimization and evolutionary computation to support computer-aided engineering design. Presented at the ASCE International Workshop on Computing in Civil Engineering, 18–25, 2017.
  • Zhang, Z, Ding, S., Jia, W., A hybrid optimization algorithm based on cuckoo search and differential evolution for solving constrained engineering problems. Eng. Appl. Artif. Intell., 85, 254–68, 2019.
  • Karaboga, D., An idea based on Honey Bee Swarm for Numerical Optimization. Technical Report-TR06, 1-10, 2005.
  • Bekdaş, G., Nigdeli, M. N., Yücel, M., & Kayabekir, A. E., Yapay Zeka Optimizasyon Algoritmaları ve Mühendislik Uygulamaları, Seçkin Yayıncılık, Ankara, 2021.
  • Rao, R.V., Teaching-learning based optimization: A novel method for constrained mechanical design optimization problems. Computer Aided Design, 43, 303-315, 2011.
  • Öztürk, H.T., Dede, T., Türker, E., Optimum design of reinforced concrete counterfort retaining walls using TLBO, Jaya algorithm. Structures, 25, 285-296, 2020.
  • Qin, A. K., Huang, V. L., Suganthan, P. N., Differential Evolution Algorithm with Strategy Adaptation for Global Numerical Optimization. IEEE Transactions on Evolutionary Computation, 13(2), 398-417, 2009.
  • Storn, R., On the usage of differential evolution for function optimization. In Biennial Conference of the North American Fuzzy Information Processing Society – NAFIPS. IEEE, 519–523, 1996.
  • Wu, C. Y., Tseng, K. Y., Truss structure optimization using adaptive multi-population differential evolution. Struct. Multidiscip. Optim., 42(4), 575–90, 2010.
  • Donate, J. P., Li X., Sanchez. G. G., de Miguel, A. S., Time series forecasting by evolving artificial neural networks with genetic algorithms, differential evolution and estimation of distribution algorithm. Neural Comput. Appl., 22(1), 11–20, 2013.
  • Lee, A. L., Nguyen, T. T., Ho, H. V., Dang, T. H, Bui, X. T., Static and frequency optimization of folded laminated composite plates using an adjusted Differential Evolution algorithm and a smoothed triangular plate element. Compos Struct., 127:382–94, 2015.
  • Rogalsky, T., Derksen, R. W., Kocabiyik, S., Differential evolution in aerodynamic optimization. in Proc. 46th Annu. Conf. of Can. Aeronaut. Space Inst., Montreal, QC, Canada, May, 29–36, 1999.
  • Omran, M. G. H., Mahdavi, M., Global-Best Harmony Search. Applied Mathematics and Computation, 198, 543-656, 2008.
  • Tang, H., Huynh, T.N., Lee, J., A novel adaptive 3-stage hybrid teaching-based differential evolution algorithm for frequency-constrained truss designs. Structures, 38, 934-348, 2022.
  • Ficarelli, E., Lamberti, L., Degertekin S. O., Comparison of three novel hybrid metaheuristic algorithms for structural optimization problems. Computers and Structures, 244-106395, 2021.
  • Rao, R. V., Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems. International Journal of Industrial Engineering Computations, 7, 19-34, 2016.
  • Warid, W., Hizam, H., Mariun, N., Abdul-Wahab, N. I., Optimal Power Flow Using the Jaya Algorithm. Energies, 9,678, 2016.
  • Yang, X. S., Harmony Search as a Metaheuristic Algorithm. Studies in Computational Intelligence, 191, 1-14, 2009.
  • Bekdaş, G., Cakiroglu, C., Kim, S., Geem, Z. W., Optimization and Predictive Modelling of Reinforced Concrete Circular Columns. Materials, 15 (19): 6624, 2022.
  • Bekdaş, G., Cakiroglu, C., Islam, K., Kim, S., Geem, Z. W., Optimum Design of Cylindrical Walls Using Ensemble Learning Methods. Applied Science, 12 (4): 2165, 2022.
  • Bekdaş, G., Cakiroglu, C., Kim, S., Geem, Z. W., Optimal Dimensioning of Retaining Walls Using Explainable Ensemble Learning Algorithms, Materials, 15 (14): 4993, 2022.
  • Geem, Z.W., Cho, Y.H. Optimal design of water distribution networks using parameter-setting-free harmony search for two major parameters. J. Water Resour. Plan. Manag., 137, 377–380, 2011.
  • Cakiroglu, C., Bekdaş, G., Geem, Z. W., Harmony Search Optimization of Dispersed Laminated Composite Plates, Materials, 13 (12): 2862, 2020.
  • Degertekin S.O. Optimum design of steel frames using harmony search algorithm. Struct. Multidiscip. Optim. 36:393–401, 2007.
  • Yang, X. S. (2012). Flower pollination algorithm for global optimization. In Unconventional Computation and Natural Computation: 11th International Conference, UCNC 2012, Orléan, France, September 3-7, 2012. Proceedings 11 (pp. 240-249). Springer Berlin Heidelberg.
Toplam 54 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Muhammed Çoşut 0000-0002-9356-9030

Gebrail Bekdaş 0000-0002-7327-9810

Sinan Melih Nigdeli 0000-0002-9517-7313

Yayımlanma Tarihi 3 Mayıs 2023
Kabul Tarihi 27 Şubat 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 15 Sayı: 1

Kaynak Göster

APA Çoşut, M., Bekdaş, G., & Nigdeli, S. M. (2023). Comparison of different regulations and metaheuristic algorithms in beam design. International Journal of Engineering and Applied Sciences, 15(1), 1-18. https://doi.org/10.24107/ijeas.1232408
AMA Çoşut M, Bekdaş G, Nigdeli SM. Comparison of different regulations and metaheuristic algorithms in beam design. IJEAS. Mayıs 2023;15(1):1-18. doi:10.24107/ijeas.1232408
Chicago Çoşut, Muhammed, Gebrail Bekdaş, ve Sinan Melih Nigdeli. “Comparison of Different Regulations and Metaheuristic Algorithms in Beam Design”. International Journal of Engineering and Applied Sciences 15, sy. 1 (Mayıs 2023): 1-18. https://doi.org/10.24107/ijeas.1232408.
EndNote Çoşut M, Bekdaş G, Nigdeli SM (01 Mayıs 2023) Comparison of different regulations and metaheuristic algorithms in beam design. International Journal of Engineering and Applied Sciences 15 1 1–18.
IEEE M. Çoşut, G. Bekdaş, ve S. M. Nigdeli, “Comparison of different regulations and metaheuristic algorithms in beam design”, IJEAS, c. 15, sy. 1, ss. 1–18, 2023, doi: 10.24107/ijeas.1232408.
ISNAD Çoşut, Muhammed vd. “Comparison of Different Regulations and Metaheuristic Algorithms in Beam Design”. International Journal of Engineering and Applied Sciences 15/1 (Mayıs 2023), 1-18. https://doi.org/10.24107/ijeas.1232408.
JAMA Çoşut M, Bekdaş G, Nigdeli SM. Comparison of different regulations and metaheuristic algorithms in beam design. IJEAS. 2023;15:1–18.
MLA Çoşut, Muhammed vd. “Comparison of Different Regulations and Metaheuristic Algorithms in Beam Design”. International Journal of Engineering and Applied Sciences, c. 15, sy. 1, 2023, ss. 1-18, doi:10.24107/ijeas.1232408.
Vancouver Çoşut M, Bekdaş G, Nigdeli SM. Comparison of different regulations and metaheuristic algorithms in beam design. IJEAS. 2023;15(1):1-18.
 Kapak Resmi İndir

21357download