Abstract
This paper aims to study optimum design of continuous foundation systems that are commonly used for mid-rise reinforced concrete buildings. The differential evolution algorithm (DE) was used for optimum design of reinforced concrete continuous foundation systems compatible with Turkish Standards 500 and 2007 Turkish Earthquake Code and providing certain constraints of these standards. In the optimization problem, the cross-sectional dimensions, spacing of transverse reinforcement, the diameters and numbers of reinforcement were defined as discrete variables and a total of 26 different decision variables were taken into consideration. Two different examples were created by changing the axial load and moment values transmitted from the structure. The material costs were investigated by choosing the T-beam and rectangular cross section for two examples. Besides, the sensitivity of the problem has been investigated with 2880 analyses for different parameters of the algorithm. The outcomes suggest that the optimum design of the continuous foundation systems can be achieved using T-beam sections. The study also shows that the differential evolution algorithm (DE), which is preferred in solving many engineering problems, can be used effectively in the optimum design of the continuous foundation systems.
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References
TS500.: Design and construction specifications for reinforced concrete structures. Turkish Standards Institute, Ankara, Turkey. (2000). (in Turkish).
Holland, J.H.: Adaptation in natural and artificial systems: An introductory analysis with applications to biology, control, and artificial intelligence. University of Michigan press (Vol. 1). (1975).
Goldberg, D.E.: Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Boston (1989)
Kennedy, J.; Eberhart, R.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, Vol. 4, pp. 1942–1948 (1995).
Dorigo, M.; Maniezzo, V.; Colorni, A.: Ant system: optimization by a colony of cooperating agents. IEEE Trans. Syst. Man Cybern. B Cybern. 26(1), 29–41 (1996)
Geem, Z.W.; Kim, J.H.; Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
Erol, O.K.; Eksin, I.: A new optimization method: big bang-big crunch. Adv. Eng. Softw. 37(2), 106–111 (2006)
Yang, X.S.; Deb, S.: Cuckoo search via levy flights. In Proceedings of World Congress on Nature and Biologically Inspired Computing, NABIC 2009, pp. 210–214 (2009).
Kirkpatrick, S.; Gelatt, C.D.; Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)
Kaveh, A.; Mahdavi, V.R.: Colliding bodies optimization: a novel meta-heuristic method. Comput. Struct. 139, 18–27 (2014)
Kaveh, A.; Hosseini Vaez, S.R.; Hosseini, P.: Modified dolphin monitoring operator for weight optimization of frame structures. Period. Polytech. Civ. Eng. 61(4), 770–779 (2017)
Saka, M.P.: Optimum design of steel sway frames to BS5950 using harmony search algorithm. J. Constr. Steel Res. 65(1), 36–43 (2009)
Fesanghary, M.; Mahdavi, M.; Minary-Jolandan, M.; Alizadeh, Y.: Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems. Comput. Methods Appl. Mech. Eng. 197(33–40), 3080–3091 (2008)
Daloğlu, A.; Artar, M.; Ozgan, K.; Karakas, Aİ.: Optimum design of steel space frames including soil structure interaction. Struct. Multidiscipl. Optim. 54(1), 117–131 (2016)
Ayvaz, M.T.; Kayhan, A.H.; Ceylan, H.; Gurarslan, G.: Hybridizing the harmony search algorithm with a spreadsheet “Solver” for solving continuous engineering optimization problems. Eng. Optim. 41(12), 1119–1144 (2009)
Kaveh, A.; Abadi, A.S.M.: Harmony search based algorithms for the optimum cost design of reinforced concrete cantilever retaining walls. Int. J. Civ. Eng. 9(1), 1–8 (2011)
Aydogdu, I.: Cost optimization of reinforced concrete cantilever retaining walls under seismic loading using a biogeography-based optimization algorithm with levy flights. Eng. Optim. 49(3), 381–400 (2017)
Molina-Moreno, F.; García-Segura, T.; Martí, J.V.; Yepes, V.: Optimization of buttressed earth-retaining walls using hybrid harmony search algorithms. Eng. Struct. 134, 205–216 (2017)
Camp, C.V.; Akin, A.: Design of retaining walls using big bang-big crunch optimization. J. Struct. Eng. 138(3), 438–448 (2012)
Yang, J.; Soh, C.K.: Structural optimization by genetic algorithms with tournament selection. J. Comput. Civ. Eng. 11(3), 195–200 (1997)
Lee, K.S.; Geem, Z.W.: A new structural optimization method based on the harmony search algorithm. Comput. Struct. 82(9–10), 781–798 (2004)
Martí, J.V.; Gonzalez-Vidosa, F.; Yepes, V.; Alcalá, J.: Design of prestressed concrete precast road bridges with hybrid simulated annealing. Eng. Struct. 48, 342–352 (2013)
Aydın, Z.; Ayvaz, Y.: Overall cost optimization of prestressed concrete bridge using genetic algorithm. KSCE J. Civ. Eng. 17(4), 769–776 (2013)
Camp, C.V.; Assadollahi, A.: CO2 and cost optimization of reinforced concrete footings using a hybrid big bang-big crunch algorithm. Struct. Multidiscipl. Optim. 48(2), 411–426 (2013)
Wang, Y.; Kulhawy, F.: Economic design optimization of foundations. J. Geotech. Geoenviron. Eng. 134(8), 1097–1105 (2008)
Turkish Standards (TS 500): Requirements for design and construction of reinforced concrete structures. Ankara, Turkey. (2000). (in Turkish).
Turkish Earthquake Code (2007-TEC): Specifications for buildings to be built in seismic areas. Ministry of Public Works and Settlement Ankara, Turkey. (2007). (in Turkish).
ACI 336: Suggested design procedure for combined footings and mats. Report of ACI Comm. 436, ACI 336.2 N-66, Manuel of Concrete Practice 4. (1987).
Ersoy, U.; Ozcebe, G.: Reinforced Concrete I, 3rd Edn. Evrim Publishing House, Istanbul (2012). (in Turkish).
Storn, R.; Price, K.: Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012, 1–12 (1995).
Keskinturk, T.: Differential evolution algorithm. Istanbul Commer. Univ. J. Sci. 5(9), 85–99 (2006)
Bowles, J.E.: Foundation Analysis and Design, 5th edn. The McGraw-Hill Companies Inc, New York (2006)
Ministry of Environment and Urbanization: 2015 Unit Price List. Ministry of Environment and Urban, Ankara, Turkey (2015). (in Turkish)
Microsoft, Microsoft Excel: Visual Basic for applications. Microsoft Press, Washington (1995)
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The authors acknowledge the assistance of Prof. Dr. M. Tamer Ayvaz in developing the code used in the paper.
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Kamal, M., Inel, M. Optimum Design of Reinforced Concrete Continuous Foundation Using Differential Evolution Algorithm. Arab J Sci Eng 44, 8401–8415 (2019). https://doi.org/10.1007/s13369-019-03889-5
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DOI: https://doi.org/10.1007/s13369-019-03889-5