Optimum Structural Design with Discrete Variables Using League Championship Algorithm

Document Type: Research Papers

Authors

1 Tarbiat Modares University

2 Afagh Higher Education Institute, Urmia, Iran

3 Islamic Azad University, Islamshahr Branch, Tehran, Iran

Abstract

In this paper a league championship algorithm (LCA) is developed for structural optimization where the optimization variables are of discrete type and the set of the values possibly obtained by each variable is also given. LCA is a relatively new metaheuristic algorithm inspired from sport championship process. In LCA, each individual can choose to approach to or retreat from other individuals in the population. This makes it able to provide a good balance between exploration and exploitation tasks in course of the search. To check the suitability and effectiveness of LCA for structural optimization, five benchmark problems are adopted and the performance of LCA is investigated and deeply compared with other approaches. Numerical results indicate that the proposed LCA method is very promising for solving structural optimization problems with discrete variables.

Keywords

Main Subjects


AISC, A. (1989). Manual of steel construction–allowable stress design, American Institute of Steel Construction (AISC), Chicago Google Scholar.

Alatas, B. (2017). "Sports inspired computational intelligence algorithms for global optimization", Artificial Intelligence Review, 1-49, DOI: 10.1007/s10462-017-9587-x

Aydoğdu, İ., Akın, A. and Saka, M.P. (2016). "Design optimization of real world steel space frames using artificial bee colony algorithm with Levy flight distribution", Advances in Engineering Software, 92, 1-14.

Aydogdu, I., Carbas, S. and Akin, A. (2017). "Effect of Levy Flight on the discrete optimum design of steel skeletal structures using metaheuristics", Steel and Composite Structures, 24(1), 93-112.

Aydogdu, I., Efe, P., Yetkin, M. and Akin, A. (2017). "Optimum design of steel space structures using social spider optimization algorithm with spider jump technique", Structural Engineering and Mechanics, 62(3), 259-272.

Baghlani, A., Makiabadi, M. and Sarcheshmehpour, M. (2014). "Discrete optimum design of truss structures by an improved firefly algorithm", Advances in Structural Engineering, 17(10), 1517-1530.

Camp, C., Pezeshk, S. and Cao, G. (1998). "Optimized design of two-dimensional structures using a genetic algorithm", Journal of structural engineering, 124(5), 551-559.

Camp, C.V., Bichon, B.J. and Stovall, S.P. (2005). "Design of steel frames using ant colony optimization", Journal of Structural Engineering, 131(3), 369-379.

Camp, C.V. and Huq, F. (2013). "CO2 and cost optimization of reinforced concrete frames using a big bang-big crunch algorithm", Engineering Structures, 48, 363-372.

Cheng, M.-Y. and Prayogo, D. (2014). "Symbiotic organisms search: a new metaheuristic optimization algorithm", Computers and Structures, 139, 98-112.

Degertekin, S. (2008). "Optimum design of steel frames using harmony search algorithm", Structural and Multidisciplinary Optimization, 36(4), 393-401.

Doğan, E. and Saka, M.P. (2012). "Optimum design of unbraced steel frames to LRFD–AISC using particle swarm optimization", Advances in Engineering Software, 46(1), 27-34.

Dumonteil, P. (1992). "Simple equations for effective length factors", Engineering Journal AISC, 29(3), 111-115.

Gonçalves, M.S., Lopez, R.H. and Miguel, L.F.F. (2015). "Search group algorithm: A new metaheuristic method for the optimization of truss structures", Computers and Structures, 153, 165-184.

Hasançebi, O., Çarbaş, S., Doğan, E., Erdal, F. and Saka, M. (2009). "Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures", Computers and Structures, 87(5), 284-302.

Hellesland, J. (1994). "Review and evaluation of effective length formulas", Preprint Series, Research Report in Mechanics, from http://urn.nb.no/URN:NBN:no-23419.

Hosseinzadeh, Y., Taghizadieh, N. and Jalili, S. (2016). "Hybridizing electromagnetism-like mechanism algorithm with migration strategy for layout and size optimization of truss structures with frequency constraints", Neural Computing and Applications, 27(4), 953-971.

Jalili, S. and Hosseinzadeh, Y. (2015). "A cultural algorithm for optimal design of truss structures", Latin American Journal of Solids and Structures, 12(9), 1721-1747.

Jalili, S. and Hosseinzadeh, Y. (2017). "Design of Pin Jointed Structures under Stress and Deflection Constraints Using Hybrid Electromagnetism-like Mechanism and Migration Strategy Algorithm", Periodica Polytechnica, Civil Engineering, 61(4), 780-793.

Jalili, S. and Hosseinzadeh, Y. (2018a). "Design optimization of truss structures with continuous and discrete variables by hybrid of biogeography-based optimization and differential evolution methods", The Structural Design of Tall and Special Buildings, 27(14), e1495.

Jalili, S. and Hosseinzadeh, Y. (2018b). "Combining migration and differential evolution strategies for optimum design of truss structures with dynamic constraints", Iranian Journal of Science and Technology, Transactions of Civil Engineering DOI:10.1007/s40996-018-0165-5.

Jalili, S., Hosseinzadeh, Y. and Kaveh, A. (2014). "Chaotic biogeography algorithm for size and shape optimization of truss structures with frequency constraints", Periodica Polytechnica. Civil Engineering, 58(4), 397-422.

Jalili, S., Hosseinzadeh, Y. and Taghizadieh, N. (2016). "A biogeography-based optimization for optimum discrete design of skeletal structures", Engineering Optimization, 48(9), 1491-1514.

Jalili, S. and Kashan, A.H. (2018). "Optimum discrete design of steel tower structures using optics inspired optimization method", The Structural Design of Tall and Special Buildings, 27(9), e1466.

Jalili, S., Kashan, A.H. and Hosseinzadeh, Y. (2016). "League Championship Algorithms for Optimum Design of Pin-Jointed Structures", Journal of Computing in Civil Engineering, 31(2), 04016048.

Jalili, S. and Talatahari, S. (2017). "Optimum design of truss structures under frequency constraints using hybrid CSS-MBLS algorithm", KSCE Journal of Civil Engineering, 22(5), 1840-1853.

Kashan, A.H. (2009). "League championship algorithm: a new algorithm for numerical function optimization", International Conference of Soft Computing and Pattern Recognition IEEE, Malacca.

Kashan, A.H. (2011). "An efficient algorithm for constrained global optimization and application to mechanical engineering design: League championship algorithm (LCA)", Computer-Aided Design, 43(12), 1769-1792.

Kashan, A.H. (2014). "League Championship Algorithm (LCA): An algorithm for global optimization inspired by sport championships", Applied Soft Computing, 16, 171-200.

Kashan, A.H. and Karimi, B. (2010). "A new algorithm for constrained optimization inspired by the sport league championships", Evolutionary Computation (CEC), IEEE Congress, Barcelona, Spain.

Kaveh, A. and Farhoudi, N. (2013). "A new optimization method: dolphin echolocation", Advances in Engineering Software, 59, 53-70.

Kaveh, A. and Mahdavi, V. (2014). "Colliding bodies optimization method for optimum discrete design of truss structures", Computers and Structures, 139, 43-53.

Kaveh, A., Mirzaei, B. and Jafarvand, A. (2015). "An improved magnetic charged system search for optimization of truss structures with continuous and discrete variables", Applied Soft Computing, 28, 400-410.

Kaveh, A. and Shojaee, S. (2007). "Optimal design of skeletal structures using ant colony optimization", International Journal for Numerical Methods in Engineering, 70(5), 563-581.

Kaveh, A. and Talatahari, S. (2009). "A particle swarm ant colony optimization for truss structures with discrete variables", Journal of Constructional Steel Research, 65(8), 1558-1568.

Kaveh, A. and Talatahari, S. (2010). "An improved ant colony optimization for the design of planar steel frames", Engineering Structures, 32(3), 864-873.

Kaveh, A. and Talatahari, S. (2010). "Optimum design of skeletal structures using imperialist competitive algorithm", Computers and Structures, 88(21), 1220-1229.

Khot, N., Venkayya, V. and Berke, L. (1976). "Optimum structural design with stability constraints", International Journal for Numerical Methods in Engineering, 10(5), 1097-1114.

Lee, K.S., Geem, Z. W., Lee, S.-h. and Bae, K.-w. (2005). "The harmony search heuristic algorithm for discrete structural optimization", Engineering Optimization, 37(7), 663-684.

Li, L., Huang, Z. and Liu, F. (2009). "A heuristic particle swarm optimization method for truss structures with discrete variables", Computers and Structures, 87(7), 435-443.

LRFD, A. (1994). "Manual of steel construction, load and resistance factor design", American Institute of Steel Construction, Chicago.

Meshkat Razavi, H. and Shariatmadar, H. (2015). "Optimum parameters for tuned mass damper using Shuffled Complex Evolution (SCE) Algorithm", Civil Engineering Infrastructures Journal, 48(1), 83-100.

Mezura-Montes, E. and Coello, C.A.C. (2011). "Constraint-handling in nature-inspired numerical optimization: past, present and future", Swarm and Evolutionary Computation, 1(4), 173-194.

Mirjalili, S. and Lewis, A. (2016). "The whale optimization algorithm", Advances in Engineering Software, 95, 51-67.

Moosavian, N. and Jaefarzadeh, M.R. (2015). "Particle Swarm Optimization for hydraulic analysis of water distribution systems", Civil Engineering Infrastructures Journal, 48(1), 9-22.

Pezeshk, S., Camp, C. and Chen, D. (2000). "Design of nonlinear framed structures using genetic optimization", Journal of Structural Engineering, 126(3), 382-388.

Saka, M.P., Aydogdu, I., Hasancebi, O. and Geem, Z.W. (2011). Harmony Search algorithms in structural engineering, Computational Optimization and Applications in Engineering and Industry, Springer,145-182.

Taheri, S.H.S. and Jalili, S. (2016). "Enhanced biogeography-based optimization: A new method for size and shape optimization of truss structures with natural frequency constraints", Latin American Journal of Solids and Structures, 13(7), 1406-1430.

Toğan, V. (2012). "Design of planar steel frames using teaching-learning based optimization", Engineering Structures, 34, 225-232.

Xu, B., Jiang, J., Tong, W. and Wu, K. (2003). "Topology group concept for truss topology optimization with frequency constraints", Journal of Sound and Vibration, 261(5), 911-925.