Abstract
The optimal design of a truss structure with dynamic frequency constraints is a highly nonlinear optimization problem with several local optimums in its search space. In this type of structural optimization problems, the optimization methods should have a high capability to escape from the traps of the local optimums in the search space. This paper presents hybrid electromagnetism-like mechanism algorithm and migration strategy (EM–MS) for layout and size optimization of truss structures with multiple frequency constraints. The electromagnetism-like mechanism (EM) algorithm simulates the attraction and repulsion mechanism between the charged particles in the field of the electromagnetism to find optimal solutions, in which each particle is a solution candidate for the optimization problem. In the proposed EM–MS algorithm, two mechanisms are utilized to update the position of particles: modified EM algorithm and a new migration strategy. The modified EM algorithm is proposed to effectively guide the particles toward the region of the global optimum in the search space, and a new migration strategy is used to provide efficient exploitation between the particles. In order to test the performance of the proposed algorithm, this study utilizes five benchmark truss design examples with frequency constraints. The numerical results show that the EM–MS algorithm is an alternative and competitive optimizer for size and layout optimization of truss structures with frequency constraints.
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Grandhi RV (1993) Structural optimization with frequency constraints—a review. AIAA J 31:2296–2303
Grandhi RV, Venkayya VB (1988) Structural optimization with frequency constraints. AIAA J. 26:858–866
Sedaghati R, Suleman A, Tabarrok B (2002) Structural optimization with frequency constraints using finite element force method. AIAA J 40:382–388
Gholizadeh S, Salajegheh E, Torkzadeh P (2008) Structural optimization with frequency constraints by genetic algorithm using wavelet radial basis function neural network. J Sound Vib 312:316–331
Sergeyev O, Mroz Z (2000) Sensitivity analysis and optimal design of 3D frame structures for stress and frequency constraints. Comput Struct 75:167–185
Wang D, Zhang WH, Jiang JS (2004) Truss optimization on shape and sizing with frequency constraints. AIAA J 42:1452–1456
Goldberg DE (1989) Genetic algorithms in search optimization and machine learning. Addison-Wesley, Boston
Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan
Kaveh A, Talatahari S (2010) A novel heuristic optimization method: charged system search. Acta Mech 213:267–286
Rashedi E, Nezamabadi-pour H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci 179:2232–2248
Erol OK, Eksin I (2006) New optimization method: big bang-big crunch. Adv Eng Softw 37:106–111
Rahami H, Kaveh A, Gholipur Y (2008) Sizing, geometry and topology optimization of trusses via force method and genetic algorithm. Eng Struct 30:2360–2369
Hasancebi O, Erbatur F (2002) On efficient use of simulated annealing in complex structural optimization problems. Acta Mech 157:27–50
Fourie PC, Groenwold AA (2001) The particle swarm optimization algorithm in size and shape optimization. Struct Multidiscip Optim 23:259–267
Gonçalves MS, Lopez RH, Miguel LFF (2015) Search group algorithm: a new metaheuristic method for the optimization of truss structures. Comput Struct 153:165–184
Degertekin SO (2008) Optimum design of steel frames using harmony search algorithm. Struct Multidiscip Optim 36:393–401
Togan V (2012) Design of steel frames using teaching-learning based optimization. Eng Struct 34:225–232
Degertekin SO, Hayalioglu MS (2013) Sizing truss structures using teaching-learning-based optimization. Comput Struct 119:177–188
Degertekin SO (2012) An improved harmony search algorithms for sizing optimization of truss structures. Comput Struct 92–93:229–241
Kaveh A, Farahmand B (2010) Azar, A. Hadidi, F. Rezazadeh Sorochi, S. Talatahari, Performance-based seismic design of steel frames using ant colony optimization. J Constr Steel Res 66:566–574
Chen X, Kong Y, Fang X, Wu Q (2013) A fast two-stage ACO algorithm for robotic path planning. Neural Comput Appl 22:313–319
Yi H, Duan Q, Liao TW (2012) Three improved hybrid metaheuristic algorithms for engineering design optimization. Appl Soft Comput J 13:2433–2444
Tsai J-T (2015) Improved differential evolution algorithm for nonlinear programming and engineering design problems. Neurocomputing 148:628–640
Lingyun W, Mei Z, Guangming W, Guang M (2005) Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. J Constr Steel Res 25:361–368
Kaveh A, Zolghadr A (2014) Democratic PSO for truss layout and size optimization with frequency constraints. Comput Struct 130:102–103
Kaveh A, Zolghadr A (2012) Truss optimization with natural frequency constraints using a hybridized CSS–BBBC algorithm with trap recognition capability. Comput Struct 102–103:14–27
Khatibinia M, Sadegh Naseralavi S (2014) Truss optimization on shape and sizing with frequency constraints based on orthogonal multi-gravitational search algorithm. J Sound Vib 333:6349–6369
Kaveh A, Zolghadr A (2014) Comparison of nine meta-heuristic algorithms for optimal design of truss structures with frequency constraints. Adv Eng Softw 76:9–30
Birbil I, Fang SC (2003) An electromagnetism-like mechanism for global optimization. J Global Optim 25:263–282
Simon D (2008) Biogeography-based optimization. IEEE Trans Evol Comput 12:702–713
Gomes MH (2011) Truss optimization with dynamic constraints using a particle swarm algorithm. Expert Syst Appl 38:957–968
Kaveh A, Zolghadr A (2011) Shape and size optimization of truss structures with frequency constraints using enhanced charged system search algorithm. Asian J Civil Eng 12:487–509
Lin JH, Chen WY, Yu YS (1982) Structural optimization on geometrical configuration and element sizing with static and dynamic constraints. Comput Struct 15:507–515
Miguel LFF (2013) Shape and size optimization of truss structures considering dynamic constraints through modern meta-heuristic algorithms. Expert Syst Appl 39:9458–9467
Kaveh A, Ilchi Ghazaan M (2015) Hybridized optimization algorithms for design of trusses with multiple natural frequency constraints. Adv Eng Softw 79:137–147
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Hosseinzadeh, Y., Taghizadieh, N. & Jalili, S. Hybridizing electromagnetism-like mechanism algorithm with migration strategy for layout and size optimization of truss structures with frequency constraints. Neural Comput & Applic 27, 953–971 (2016). https://doi.org/10.1007/s00521-015-1912-1
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DOI: https://doi.org/10.1007/s00521-015-1912-1