Structural Engineering and Mechanics

  • 제45권5호
  • /
  • Pages.643-654
  • /
  • 2013
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Optimum cost design of RC columns using artificial bee colony algorithm

  • Ozturk, Hasan Tahsin (Faculty of Engineering (Civil), Karadeniz Technical University) ;
  • Durmus, Ahmet (Faculty of Engineering (Civil), Karadeniz Technical University)
  • 투고 : 2012.05.16
  • 심사 : 2013.02.19
  • 발행 : 2013.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

Optimum cost design of columns subjected to axial force and uniaxial bending moment is presented in this paper. In the formulation of the optimum design problem, the height and width of the column, diameter and number of reinforcement bars are treated as design variables. The design constraints are implemented according to ACI 318-08 and studies in the literature. The objective function is taken as the cost of unit length of the column consisting the cost of concrete, steel, and shuttering. The solution of the design problem is obtained using the artificial bee colony algorithm which is one of the recent additions to metaheuristic techniques. The Artificial Bee Colony Algorithm is imitated the foraging behaviors of bee swarms. In application of this algorithm to the constraint problem, Deb's constraint handling method is used. Obtained results showed that the optimum value of numerical example is nearly same with the existing values in the literature.

키워드

참고문헌

  1. ACI 318 (2008), Building Code Requirements for Structural Concrete and Commentary, American Concrete Institute, USA.
  2. Akay, B. (2009), "Performance analysis of artificial bee colony algorithm on numerical optimization problems", Ph.D. Dissertation, Graduate School of Natural and Applied Sciences of Erciyes University, Kayseri, Turkey. (in Turkish)
  3. Akın, A. and Saka, M.P. (2010), "Optimum design of short RC columns subjected to axial force and uniaxial/biaxial bending using harmony search algorithm", Proceedings of 9th International Congress on Advances in Civil Engineering, Trabzon, September.
  4. Akın, A. (2010), "Optimum design of reinforced concrete plane frames using harmony search algorithm", Ph.D. Thesis, Graduate School of Natural and Applied Sciences of Middle East Technical University, Ankara, Turkey.
  5. Al-Salloum, Y.A. and Siddiqi, G.H. (1994), "Cost optimum design of reinforced concrete beams", ACI Structural Jour., 91(6), 647-655.
  6. Balling, R.J. and Yao, X. (1997), "Optimization of reinforced concrete frames", Journal of Structural Engineering, 123(2), 193-202. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:2(193)
  7. Camp, C.V., Pezeshk, S. and Hansson, H. (2003), "Flexural design of reinforced concrete frames using a genetic algorithm", ASCE Journal of Structural Engineering, 129(1), 105-115. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:1(105)
  8. Chakrabarty, B.K. (1992), "Models for optimal design of reinforced concrete beams", Computers and Structures, 42(3), 447-451. https://doi.org/10.1016/0045-7949(92)90040-7
  9. Choi, C.K. and Kwak, H.G. (1990), "Optimum RC member design with predetermined discrete sections", Journal of Structural Engineering, 116(10), 2634-2655. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:10(2634)
  10. Chou, T. (1977), "Optimum reinforced concrete T-beam sections", Journal of Structural Division, 103(8), 1605-1617.
  11. Coello Coello, C.A. (2002), "Theoretical and numerical constraint handling techniques used with evolutionary algorithms: a survey of the state of the art", Computer Methods in Applied Mechanics and Engineering, 191, 1245-1287. https://doi.org/10.1016/S0045-7825(01)00323-1
  12. Coello Coello, C.A., Christiansen, A.D. and Santos Hernandez, F. (1997), "A simple genetic algorithm for the design of reinforced concrete beams", Engineering with Computers, 13, 185-196. https://doi.org/10.1007/BF01200046
  13. Deb, K. (2000), "An efficient constraint handling method for genetic algorithms", Computer Methods in Applied Mechanics and Engineering, 186, 311-338. https://doi.org/10.1016/S0045-7825(99)00389-8
  14. Degertekin, S.O. (2012), "Optimum design of geometrically non-linear steel frames using artificial bee colony algorithm", Steel and Composite Structures, 12, 6, 505-522. https://doi.org/10.12989/scs.2012.12.6.505
  15. Ersoy, U. and Ozcebe, G. (2001), Reinforced Concrete: Basic Principles, Evrim Publishing House, Istanbul. (in Turkish)
  16. Fadaee, M.J. and Grierson, D.E. (1996), "Design optimization of 3D reinforced concrete structures", Structural optimization, 12, 127-134. https://doi.org/10.1007/BF01196945
  17. Govindaraj, V. and Ramasamy, J.V. (2007), "Optimum detailed design of reinforced concrete frames using genetic algorithms", Engineering optimization, 39(4), 471-494. https://doi.org/10.1080/03052150601180767
  18. Govindaraj, V. and Ramasamy, J.V. (2005), "Optimum detailed design of reinforced concrete continuous beams using genetic algorithms", Computer and Structures, 84(1-2), 34-48. https://doi.org/10.1016/j.compstruc.2005.09.001
  19. Haug, E.J. and Kirmser, P.G. (1967), "Minimum weight design of beams with inequality constraints on stress and deflection", Journal of Applied Mechanics, Transactions of the ASME, 999-1004.
  20. Karaboga, D. and Basturk, B. (2008), "On the performance of Artificial Bee Colony (ABC)", Applied Soft Computing, 8(1), 687-697. https://doi.org/10.1016/j.asoc.2007.05.007
  21. Karaboga, D. and Basturk, B. (2007), "Artificial Bee Colony (ABC) optimization algorithm for solving constrained optimization problems", Proceedings of IFSA 2007, Mexico, June.
  22. Karaboga, D. and Akay, B. (2011), "A modified Artificial Bee Colony (ABC) algorithm for constrained optimization problems", Applied Soft Computing, 11 (3), 3021-3031. https://doi.org/10.1016/j.asoc.2010.12.001
  23. Karihaloo, B.L. (1979), "Optimal design of multi-purpose tie-beams", Journal of Optimization Theory and Applications, 27(3), 427-438. https://doi.org/10.1007/BF00933033
  24. Kirsh, U. (1983), "Multilevel optimum design of reinforced concrete structures", Eng. Optimization, 6(4), 207-212. https://doi.org/10.1080/03052158308902471
  25. Krishnamoorty, C.S. and Munro, J. (1973), "Linear program for optimal design of reinforced concrete frames", Proccedings of IABSE, 33(1), 119-141.
  26. Kwak, H.G. and Kim, J. (2009), "An integrated genetic algorithm with direct search for optimum design of RC frames", Computer-Aided Civil Infrastructural Eng., 41, 490-500.
  27. Kwak, H.G. and Kim, J. (2008), "Optimum design of reinforced concrete frames based on predetermined section database", Computer-Aided Civil Infrastructural Eng., 40, 396-408.
  28. Lee, C. and Ahn, J. (2003), "Flexural design of reinforced concrete frames by genetic algorithm", ASCE Journal of Structural Engineering, 129(6), 762-774. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:6(762)
  29. Leroy Friel, L. (1974), "Optimum single reinforced concrete sections", ACI journal, 71(11), 556-558.
  30. MATLAB, Version 7.6.0.324 (R2008a) (2008), The Language of Technical Computing, The MathWorks Inc., USA.
  31. Pham, D.T., Granbarzadeh, A., Koç, E., Otri, S., Rahim, S. and Zaidi, M. (2006), "The bees algorithm - a novel tool for complex optimization problems", Proceedings of Innovation Production Machines and System Virtual Conference, http://conference.iproms.org., July.
  32. Prakash, A., Agarwala, S.K. and Singh, K.K. (1988), "Optimum design of reinforced concrete sections", Computers and Structures, 30(4), 1009-1011. https://doi.org/10.1016/0045-7949(88)90142-3
  33. Rajeev, S. and Krishnamoorthy, C.S. (1998), "Genetic algorithm-based methodology for design optimization of reinforced concrete frames", Computer-Aided Civil Infrastructural Eng., 13, 63-74. https://doi.org/10.1111/0885-9507.00086
  34. Saouma, V.E. and Murad, R.S. (1984), "Partially prestressed concrete beam optimization", Journal of Structural Engineering, 110 (3), 589-604. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:3(589)
  35. Singh, A. (2009), "An Artificial Bee Colony algorithm for the leaf-constrained minimum spanning tree problem", Applied Soft Computing, 9(2), 625- 631. https://doi.org/10.1016/j.asoc.2008.09.001
  36. Sonmez, M. (2011), "Artificial Bee Colony Algorithm for Optimization of Truss Structures", Applied Soft Computing, 11, 2406-2418. https://doi.org/10.1016/j.asoc.2010.09.003
  37. Teodorovic, D. (2003), "Transport modeling by multi-agent systems: a swarm intelligence approach", Transportation Planning and Technology, 26(4), 289-312. https://doi.org/10.1080/0308106032000154593
  38. Teodorovic, D. and Orco, M.D. (2005), "Bee colony optimization-a comparative learning approach to computer transportation problems", Advanced or an IA Methods in Transportation, 51-60.
  39. Tereshko, V. (2000), "Reaction-diffusion model of a honeybee colony's foraging behavior", Lecture Notes in Computer Science, 1917, 807-816.
  40. Venkayya, V.B. (1971), "Design of optimum structures", Computers and Structures, 1, 265-309. https://doi.org/10.1016/0045-7949(71)90013-7
  41. Yang, X.S. (2005), "Engineering optimization via nature-Inspired virtual bee algorithms", Lecture Notes in Computer Science, 3562, 317-323.
  42. Zielinski, Z.A., Long, W. and Troitsky, M.S. (1995), "Designing reinforced concrete short tied columns using optimization technique", ACI Structural journal, 92(5), 619-626.

피인용 문헌

  1. A modified multi-objective elitist-artificial bee colony algorithm for optimization of smart FML panels vol.52, pp.6, 2014, https://doi.org/10.12989/sem.2014.52.6.1209
  2. Prediction of berm geometry using a set of laboratory tests combined with teaching–learning-based optimization and artificial bee colony algorithms vol.48, 2014, https://doi.org/10.1016/j.apor.2014.08.002
  3. Automated layout design of multi-span reinforced concrete beams using charged system search algorithm vol.35, pp.3, 2018, https://doi.org/10.1108/EC-05-2017-0188
  4. Optimal dimensioning for the corner combined footings vol.2, pp.2, 2013, https://doi.org/10.12989/acd.2017.2.2.169
  5. Yapay arı koloni algoritması kullanılarak betonarme istinat duvarlarının optimum maliyet tasarımını etkileyen parametrelerin incelenmesi vol.33, pp.1, 2013, https://doi.org/10.17341/gazimmfd.406796
  6. Modeling for the strap combined footings Part I: Optimal dimensioning vol.30, pp.2, 2013, https://doi.org/10.12989/scs.2019.30.2.097
  7. Design and Optimization of Reinforced Concrete Slabs by using Non-Traditional Optimization Techniques vol.955, pp.None, 2013, https://doi.org/10.1088/1757-899x/955/1/012020