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http://dx.doi.org/10.12989/scs.2016.22.5.1163

MINLP optimization of a composite I beam floor system  

Zula, Tomaz (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture)
Kravanja, Stojan (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture)
Klansek, Uros (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture)
Publication Information
Steel and Composite Structures / v.22, no.5, 2016 , pp. 1163-1192 More about this Journal
Abstract
This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in)equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.
Keywords
composite structures; cost optimization; structural optimization; mixed-integer non-linear programming; MINLP;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Abadie, J. and Carpentier, J. (1969), Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints, Optimization (R. Fletcher, Ed.), Academic Press, New York, NY, USA.
2 Adeli, H. and Kim, H. (2001), "Cost optimization of welded of composite floors using neural dynamics model", Commun. Numer. Methods Eng., 17(11), 771-787.   DOI
3 Brooke, A., Kendrick, D. and Meeraus A. (1988), GAMS - A User's Guide, Scientific Press, Redwood City, CA, USA.
4 Cheng, L. and Chan, C.M. (2009), "Optimal lateral stiffness design of composite steel and concrete tall frameworks", Eng. Struct., 31(2), 523-533.   DOI
5 CPLEX (2016), User Notes, ILOG Inc.
6 Drudd, A.S. (1994), "CONOPT - A large-scale GRG code", ORSA J. Comput., 6(2), 207-216.   DOI
7 Eurocode 1 (2002), Actions on structures; European Committee for Standardization, Brussels, Belgium.
8 Eurocode 2 (2004), Design of concrete structures; European Committee for Standardization, Brussels, Belgium.
9 Eurocode 3 (2005), Design of steel structures; European Committee for Standardization, Brussels, Belgium.
10 Eurocode 4 (2004), Design of composite steel and concrete structures - Part 1-1: General rules and rules for buildings; European Committee for Standardization, Brussels, Belgium.
11 Kassapoglou, C. and Dobyns, A.L. (2001), "Simultaneous cost and weight minimization of postbuckled composite panels under combined compression and shear", Struct. Multidisc. Optim., 21(5), 372-382.   DOI
12 Kaveh, A. and Abadi, A.S.M. (2010), "Cost optimization of a composite floor system using an improved harmony search algorithm", J. Construct. Steel Res., 66(5), 664-669.   DOI
13 Kaveh, A. and Ahangaran, M. (2012), "Discrete cost optimization of composite floor system using social harmony search model", Appl. Soft Comput., 12(1), 372-381.   DOI
14 Kaveh, A. and Behnam, A.F. (2012), "Cost optimization of a composite floor system, one-way waffle slab, and concrete slab formwork using a charged system search algorithm", Scientia Iranica A., 19(3), 410-416.   DOI
15 Kaveh, A. and Ghafari, M.H. (2016), "Optimum design of steel floor system: effect of floor division number, deck thickness and castellated beams", Struct. Eng. Mech., Int. J., 59(5), 933-950.   DOI
16 Kaveh, A. and Massoudi, M.S. (2012), "Cost optimization of a composite floor system using ant colony system", Iran. J. Sci. Technol., 36(C2), 139-148.
17 Kovacs, G., Groenwold, A.A., Jarmai, K. and Farkas, J. (2004), "Analysis and optimum design of fibrereinforced composite structures", Struct Multidisc Optim., 28(2), 170-179.   DOI
18 KlanSek, U. and Kravanja, S. (2006a), "Cost estimation, optimization and competitiveness of different composite floor systems-Part 1: Self-manufacturing cost estimation of composite and steel structures", J. Construct. Steel Res., 62(5), 434-448.   DOI
19 KlanSek, U. and Kravanja, S. (2006b), "Cost estimation, optimization and competitiveness of different composite floor systems-Part 2: Optimization based competitiveness between the composite I beams, channel-section and hollow-section trusses", J. Construct. Steel Res., 62(5), 449-462.   DOI
20 KlanSek, U., Silih, S. and Kravanja, S. (2006), "Cost optimization of composite floor trusses", Steel Compos. Struct., Int. J., 6(5), 435-457.   DOI
21 Kravanja, Z. (2010), "Challenges in sustainable integrated process synthesis and the capabilities of an MINLP process synthesizer MipSyn", Comput. Chem. Eng., 34(11), 1831-1848.   DOI
22 Kravanja, Z. and Grossmann, I.E. (1994), "New developments and capabilities in PROSYN - An automated topology and parameter process synthesizer", Comput. Chem. Eng., 18(11-12), 1097-1114.   DOI
23 Kravanja, S. and Silih, S. (2003), "Optimization based comparison between composite I beams and composite trusses", J. Construct Steel Res., 59(5), 609-625.   DOI
24 Kravanja, S., SorSak, A. and Kravanja, Z. (2003), "Efficient multilevel MINLP strategies for solving large combinatorial problems in engineering", Optimiz. Eng., 4(1), 97-151.   DOI
25 Kravanja, S., Kravanja, Z. and Bedenik, B.S. (1998a), "The MINLP optimization approach to structural synthesis. Part I: A general view on simultaneous topology and parameter optimization", International J. Numer. Method. Eng., 43(2), 263-292.   DOI
26 Kravanja, S., Kravanja, Z. and Bedenik, B.S. (1998b), "The MINLP optimization approach to structural synthesis. Part II: Simultaneous topology, parameter and standard dimension optimization by the use of the Linked two-phase MINLP strategy", Int. J. Numer. Methods Eng., 43(2), 293-328.   DOI
27 Kravanja, S., Kravanja, Z. and Bedenik, B.S. (1998c), "The MINLP approach to structural synthesis. Part III:Synthesis of roller and sliding hydraulic steel gate structures", Int. J. Numer. Methods Eng., 43(2), 329-364.   DOI
28 Luo, Y., Wang, M.Y., Zhou, M. and Deng, Z. (2012), "Optimal topology design of steel-concrete composite structures under stiffness and strength constraints", Comput. Struct., 112-113, 433-444.   DOI
29 Kravanja, S., Silih, S. and Kravanja, Z. (2005), "The multilevel MINLP optimization approach to structural synthesis: the simultaneous topology, material, standard and rounded dimension optimization", Adv. Eng. Software, 36(9), 568-583.   DOI
30 Land, A.H. and Doig, A.G. (1960), "An automatic method of solving discrete programming problems", Econometrica, 28(3), 497-520.   DOI
31 Senouci, A.B. and Al-Ansari, M.S. (2009), "Cost optimization of composite beams using genetic algorithms", Adv. Eng. Software, 40(11), 1112-1118.   DOI
32 Omkar, S.N., Khandelwal, R., Santhosh, Yathindra, Narayana, Naik, G. and Gopalakrishnan, S. (2008), "Artificial immune system for multi-objective design optimization of composite structures", Eng. Applicat. Artif. Intell., 21(8), 1416-1429.   DOI
33 Omkar, S.N., Senthilnath, J., Khandelwal, R., Naik, G.N. and Gopalakrishnan, S. (2011), "Artificial Bee Colony (ABC) for multi-objective design optimization of composite structures", Appl. Soft Comput., 11(1), 489-499.   DOI
34 Poitras, G., Lefrancois, G. and Cormier, G. (2011), "Optimization of steel floor systems using particle swarm optimization", J. Construct. Steel Res., 67(8), 1225-1231.   DOI
35 Wolfe, P. (1976), Methods of Nonlinear Programming, John Wiley, New York, NY, USA.