Optimum Design of Steel Space Frames by Hybrid Teaching-Learning Based Optimization and Harmony Search Algorithms
This study presents a hybrid metaheuristic algorithm
to obtain optimum designs for steel space buildings. The optimum
design problem of three-dimensional steel frames is mathematically
formulated according to provisions of LRFD-AISC (Load and
Resistance factor design of American Institute of Steel Construction).
Design constraints such as the strength requirements of structural
members, the displacement limitations, the inter-story drift and the
other structural constraints are derived from LRFD-AISC
specification. In this study, a hybrid algorithm by using teachinglearning
based optimization (TLBO) and harmony search (HS)
algorithms is employed to solve the stated optimum design problem.
These algorithms are two of the recent additions to metaheuristic
techniques of numerical optimization and have been an efficient tool
for solving discrete programming problems. Using these two
algorithms in collaboration creates a more powerful tool and
mitigates each other’s weaknesses. To demonstrate the powerful
performance of presented hybrid algorithm, the optimum design of a
large scale steel building is presented and the results are compared to
the previously obtained results available in the literature.
[1] S. K. Azad, O. Hasancebi and M. P. Saka, "Guided stochastic search
technique for discrete sizing optimization of steel trusses: A designdriven
heuristic approach," Computers & Structures, vol.134, no. pp. 62-
74, Apr 1 2014.
[2] O. Hasancebi and S. K. Azad, "Discrete size optimization of steel trusses
using a refined big bang-big crunch algorithm," Engineering
Optimization, vol.46, no. 1, pp. 61-83, Jan 2 2014.
[3] O. Hasancebi, T. Teke and O. Pekcan, "A bat-inspired algorithm for
structural optimization," Computers & Structures, vol.128, no. pp. 77-
90, Nov 2013.
[4] A. Kaveh and S. Talatahari, "Particle swarm optimizer, ant colony
strategy and harmony search scheme hybridized for optimization of truss
structures," Computers & Structures, vol.87, no. 5-6, pp. 267-283, Mar
2009. [5] A. Kaveh and S. Talatahari, "Charged system search for optimum
grillage system design using the LRFD-AISC code," Journal of
Constructional Steel Research, vol.66, no. 6, pp. 767-771, Jun 2010.
[6] M. P. Saka and Z. W. Geem, "Mathematical and Metaheuristic
Applications in Design Optimization of Steel Frame Structures: An
Extensive Review," Mathematical Problems in Engineering, no. pp.
2013.
[7] C. V. Camp and M. Farshchin, "Design of space trusses using modified
teaching-learning based optimization," Engineering Structures, vol.62-
63, no. pp. 87-97, Mar 15 2014.
[8] C. V. Camp and F. Huq, "CO2 and cost optimization of reinforced
concrete frames using a big bang-big crunch algorithm," Engineering
Structures, vol.48, no. pp. 363-372, Mar 2013.
[9] C. V. Camp and A. Akin, "Design of Retaining Walls Using Big Bang-
Big Crunch Optimization," Journal of Structural Engineering-Asce,
vol.138, no. 3, pp. 438-448, Mar 2012.
[10] "Load and Resistance Factor Design, Volume 1, Structural Members
Specifications Codes," American Institute of Steel Construction 2001.,
pp. 2001.
[11] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-Learning-Based
Optimization: An optimization method for continuous non-linear large
scale problems," Information Sciences, vol.183, no. 1, pp. 1-15, Jan 15
2012.
[12] R. V. Rao, V. J. Savsani and J. Balic, "Teaching-learning-based
optimization algorithm for unconstrained and constrained real-parameter
optimization problems," Engineering Optimization, vol.44, no. 12, pp.
1447-1462, 2012.
[13] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-learning-based
optimization: A novel method for constrained mechanical design
optimization problems," Computer-Aided Design, vol.43, no. 3, pp. 303-
315, Mar 2011.
[14] Z. W. Geem, "Optimal design of water distribution networks using
harmony search. ," Korea University vol.PhD, pp. 2000.
[15] Z. W. Geem, J. H. Kim and G. V. Loganathan, "A new heuristic
optimization algorithm: Harmony search," Simulation, vol.76, no. 2, pp.
60-68, Feb 2001.
[16] A. Akin and M. P. Saka, "Harmony search algorithm based optimum
detailed design of reinforced concrete plane frames subject to ACI 318-
05 provisions," Computers & Structures, vol.147, no. pp. 79-95, Jan 15
2015.
[17] G. Bekdas and S. M. Nigdeli, "Estimating optimum parameters of tuned
mass dampers using harmony search," Engineering Structures, vol.33,
no. 9, pp. 2716-2723, Sep 2011.
[18] S. O. Degertekin, "Optimum design of steel frames using harmony
search algorithm," Structural and Multidisciplinary Optimization,
vol.36, no. 4, pp. 393-401, Oct 2008.
[19] O. Hasancebi, F. Erdal and M. P. Saka, "Adaptive Harmony Search
Method for Structural Optimization," Journal of Structural Engineering-
Asce, vol.136, no. 4, pp. 419-431, Apr 2010.
[20] A. Kaveh and A. S. M. Abadi, "Cost optimization of a composite floor
system using an improved harmony search algorithm," Journal of
Constructional Steel Research, vol.66, no. 5, pp. 664-669, May 2010.
[1] S. K. Azad, O. Hasancebi and M. P. Saka, "Guided stochastic search
technique for discrete sizing optimization of steel trusses: A designdriven
heuristic approach," Computers & Structures, vol.134, no. pp. 62-
74, Apr 1 2014.
[2] O. Hasancebi and S. K. Azad, "Discrete size optimization of steel trusses
using a refined big bang-big crunch algorithm," Engineering
Optimization, vol.46, no. 1, pp. 61-83, Jan 2 2014.
[3] O. Hasancebi, T. Teke and O. Pekcan, "A bat-inspired algorithm for
structural optimization," Computers & Structures, vol.128, no. pp. 77-
90, Nov 2013.
[4] A. Kaveh and S. Talatahari, "Particle swarm optimizer, ant colony
strategy and harmony search scheme hybridized for optimization of truss
structures," Computers & Structures, vol.87, no. 5-6, pp. 267-283, Mar
2009. [5] A. Kaveh and S. Talatahari, "Charged system search for optimum
grillage system design using the LRFD-AISC code," Journal of
Constructional Steel Research, vol.66, no. 6, pp. 767-771, Jun 2010.
[6] M. P. Saka and Z. W. Geem, "Mathematical and Metaheuristic
Applications in Design Optimization of Steel Frame Structures: An
Extensive Review," Mathematical Problems in Engineering, no. pp.
2013.
[7] C. V. Camp and M. Farshchin, "Design of space trusses using modified
teaching-learning based optimization," Engineering Structures, vol.62-
63, no. pp. 87-97, Mar 15 2014.
[8] C. V. Camp and F. Huq, "CO2 and cost optimization of reinforced
concrete frames using a big bang-big crunch algorithm," Engineering
Structures, vol.48, no. pp. 363-372, Mar 2013.
[9] C. V. Camp and A. Akin, "Design of Retaining Walls Using Big Bang-
Big Crunch Optimization," Journal of Structural Engineering-Asce,
vol.138, no. 3, pp. 438-448, Mar 2012.
[10] "Load and Resistance Factor Design, Volume 1, Structural Members
Specifications Codes," American Institute of Steel Construction 2001.,
pp. 2001.
[11] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-Learning-Based
Optimization: An optimization method for continuous non-linear large
scale problems," Information Sciences, vol.183, no. 1, pp. 1-15, Jan 15
2012.
[12] R. V. Rao, V. J. Savsani and J. Balic, "Teaching-learning-based
optimization algorithm for unconstrained and constrained real-parameter
optimization problems," Engineering Optimization, vol.44, no. 12, pp.
1447-1462, 2012.
[13] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-learning-based
optimization: A novel method for constrained mechanical design
optimization problems," Computer-Aided Design, vol.43, no. 3, pp. 303-
315, Mar 2011.
[14] Z. W. Geem, "Optimal design of water distribution networks using
harmony search. ," Korea University vol.PhD, pp. 2000.
[15] Z. W. Geem, J. H. Kim and G. V. Loganathan, "A new heuristic
optimization algorithm: Harmony search," Simulation, vol.76, no. 2, pp.
60-68, Feb 2001.
[16] A. Akin and M. P. Saka, "Harmony search algorithm based optimum
detailed design of reinforced concrete plane frames subject to ACI 318-
05 provisions," Computers & Structures, vol.147, no. pp. 79-95, Jan 15
2015.
[17] G. Bekdas and S. M. Nigdeli, "Estimating optimum parameters of tuned
mass dampers using harmony search," Engineering Structures, vol.33,
no. 9, pp. 2716-2723, Sep 2011.
[18] S. O. Degertekin, "Optimum design of steel frames using harmony
search algorithm," Structural and Multidisciplinary Optimization,
vol.36, no. 4, pp. 393-401, Oct 2008.
[19] O. Hasancebi, F. Erdal and M. P. Saka, "Adaptive Harmony Search
Method for Structural Optimization," Journal of Structural Engineering-
Asce, vol.136, no. 4, pp. 419-431, Apr 2010.
[20] A. Kaveh and A. S. M. Abadi, "Cost optimization of a composite floor
system using an improved harmony search algorithm," Journal of
Constructional Steel Research, vol.66, no. 5, pp. 664-669, May 2010.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:70902", author = "Alper Akın and İbrahim Aydoğdu", title = "Optimum Design of Steel Space Frames by Hybrid Teaching-Learning Based Optimization and Harmony Search Algorithms", abstract = "This study presents a hybrid metaheuristic algorithm
to obtain optimum designs for steel space buildings. The optimum
design problem of three-dimensional steel frames is mathematically
formulated according to provisions of LRFD-AISC (Load and
Resistance factor design of American Institute of Steel Construction).
Design constraints such as the strength requirements of structural
members, the displacement limitations, the inter-story drift and the
other structural constraints are derived from LRFD-AISC
specification. In this study, a hybrid algorithm by using teachinglearning
based optimization (TLBO) and harmony search (HS)
algorithms is employed to solve the stated optimum design problem.
These algorithms are two of the recent additions to metaheuristic
techniques of numerical optimization and have been an efficient tool
for solving discrete programming problems. Using these two
algorithms in collaboration creates a more powerful tool and
mitigates each other’s weaknesses. To demonstrate the powerful
performance of presented hybrid algorithm, the optimum design of a
large scale steel building is presented and the results are compared to
the previously obtained results available in the literature.", keywords = "Optimum structural design, hybrid techniques,
teaching-learning based optimization, harmony search algorithm,
minimum weight, steel space frame.", volume = "9", number = "7", pages = "1371-8", }
