References
- Bellagamba, L. and Yang, T.Y. (1981), "Minimum mass truss structures with constraints on fundamental natural frequency", AIAA J., 19(11), 1452-1458. https://doi.org/10.2514/3.7875
- Degertekin, S.O. (2008), "Harmony search algorithm for optimum design of steel frame structures: a comparative study with other optimization methods", Struct. Eng. Mech., 29(4), 391-410. https://doi.org/10.12989/sem.2008.29.4.391
- Dorigo, M., Maniezzo, V. and Colorni, A. (1996), "The ant system: optimization by a colony of cooperating agents", IEEE Trans. Syst. Man Cybern., 26(1), 29-41. https://doi.org/10.1109/3477.484436
- Goldberg, D.E. (1989), Genetic algorithms in search optimization and machine learning, Boston: Addison-Wesley.
- Gomes, H.M. (2011), "Truss optimization with dynamic constraints using a particle swarm algorithm", Expert Syst. Appl., 38(1), 957-968. https://doi.org/10.1016/j.eswa.2010.07.086
- Grandhi, R.V. and Venkayya, V.B. (1988), "Structural optimization with frequency constraints", AIAA J., 26(7), 858-66. https://doi.org/10.2514/3.9979
- Holland, J.H. (1975), Adaptation in natural and artificial systems, Ann Arbor: University of Michigan Press.
- Karaboga, D. and Basturk, B. (2007), "A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm", J. Global Optim., 39(3), 459-71. https://doi.org/10.1007/s10898-007-9149-x
- Kaveh, A. (2014), Advances in metaheuristic algorithms for optimal design of structures, Springer International Publishing, Switzerland.
- Kaveh, A., Fahimi-Farzam, M. and Kalateh-Ahani, M. (2015), "Optimum design of steel frame structures considering construction cost and seismic damage", Smart Struct. Syst., 16(1), 1-26. https://doi.org/10.12989/sss.2015.16.1.001
- Kaveh, A. and Ilchi Ghazaan, M. (2014a), "Enhanced colliding bodies optimization for design problems with continuous and discrete variables", Adv. Eng. Softw., 77, 66-75. https://doi.org/10.1016/j.advengsoft.2014.08.003
- Kaveh, A. and Ilchi Ghazaan, M. (2014b), "Enhanced colliding bodies algorithm for truss optimization with frequency constraints", J. Comput. Civ. Eng., ASCE, 29(6), 04014104. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000445
- Kaveh, A. and Ilchi Ghazaan, M. (2015), "Hybridization of ECBO and UBS for Optimum design of skeletal structures", submitted for publication.
- Kaveh, A. and Khayatazad, M. (2012), "A new meta-heuristic method: ray optimization", Comput. Struct., 112, 283-294.
- Kaveh, A. and Mahdavi, V.R. (2014), "Colliding Bodies Optimization method for optimum design of truss structures with continuous variables", Adv. Eng. Softw., 70, 1-12. https://doi.org/10.1016/j.advengsoft.2014.01.002
- Kaveh, A. and Talatahari, S. (2012), "Charged system search for optimal design of frame structures", Appl. Soft Comput., 12(1), 382-393. https://doi.org/10.1016/j.asoc.2011.08.034
- Kaveh, A. and Zolghadr, A. (2012), "Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability", Comput. Struct., 102, 14-27.
- Kaveh, A. and Zolghadr, A. (2014), "Democratic PSO for truss layout and size optimization with frequency constraints", Comput. Struct., 130, 10-21. https://doi.org/10.1016/j.compstruc.2013.09.002
- Kazemzadeh Azad, S. and Hasancebi, O. (2015), "Computationally efficient discrete sizing of steel frames via guided stochastic search heuristic", Comput. Struct., 156, 12-28. https://doi.org/10.1016/j.compstruc.2015.04.009
- Kazemzadeh Azad, S., Hasancebi, O. and Kazemzadeh Azad, S. (2013), "Upper bound strategy for metaheuristic based design optimization of steel frames", Adv. Eng. Softw., 57, 19-32. https://doi.org/10.1016/j.advengsoft.2012.11.016
- Kennedy, J. and Eberhart, R.C. (1995), "Particle swarm optimization", Proceedings of the IEEE International Conference Neural Network, 1942-8.
- Li, G., Lu, H. and Liu, X. (2010), "A hybrid simulated annealing and optimality criteria method for optimum design of RC buildings", Struct. Eng. Mech., 35(1), 19-35. https://doi.org/10.12989/sem.2010.35.1.019
- Lingyun, W., Mei, Z., Guangming, W. and Guang M. (2005), "Truss optimization on shape and sizing with frequency constraints based on genetic algorithm", Comput. Mech., 35(5), 361-368. https://doi.org/10.1007/s00466-004-0623-8
- Miguel, L.F.F. and Fadel Miguel L.F. (2012), "Shape and size optimization of truss structures considering dynamic constraints through modern meta-heuristic algorithms", Expert Syst. Appl., 39(10), 9458-9467. https://doi.org/10.1016/j.eswa.2012.02.113
- Mirjalili, S. (2015), "The ant lion optimizer", Adv. Eng. Softw., 83, 80-98. https://doi.org/10.1016/j.advengsoft.2015.01.010
- Nigdeli, S.M., Bekdas, G., Kim, S. and Geem, Z.W. (2015), "A novel harmony search based optimization of reinforced concrete biaxially loaded columns", Struct. Eng. Mech., 54(6), 1097-1109. https://doi.org/10.12989/sem.2015.54.6.1097
- Sedaghati, R. (2005), "Benchmark case studies in structural design optimization using the force method", Int. J. Solids Struct., 42(21), 5848-5871. https://doi.org/10.1016/j.ijsolstr.2005.03.030
- Sheikhi, M. and Ghoddosian, A. (2013), "A hybrid imperialist competitive ant colony algorithm for optimum geometry design of frame structures", Struct. Eng. Mech., 46(3), 403-416. https://doi.org/10.12989/sem.2013.46.3.403
- Tang, H., Zhang, W., Xie, L. and Xue, S. (2013), "Multi-stage approach for structural damage identification using particle swarm optimization", Smart Struct. Syst., 11(1), 69-86. https://doi.org/10.12989/sss.2013.11.1.069
- Wang, D., Zhang, W.H., and Jiang, J.S. (2004), "Truss optimization on shape and sizing with frequency constraints", AIAA J., 42(3), 622-630. https://doi.org/10.2514/1.1711
- Yang, X.S. (2010), “Firefly algorithm, stochastic test functions and design optimization”, Int. J. Bio-InspiredComput., 2(2), 78-84. https://doi.org/10.1504/IJBIC.2010.032124
- Yang, X.S. and Deb, S. (2010), “Engineering optimisation by cuckoo search”, Int. J. Math. Model. Numer.Optim., 1(4), 330-343.