Jaya algorithm for design optimization of planar steel frames

Abstract

An efficient metaheuristic optimization method called Jaya Algorithm (JA) has gained wide acceptance among optimization researchers in various engineering problems recently. The main feature of JA is that it does not use algorithm-specific parameters and has a very simple formulation based on the concept of approaching the best solution and moving away from the worst solution. This study presents the JA formulation for design optimization of planar steel frames under strength and displacement constraints. The validity of JA is investigated by solving two benchmark design examples. The results demonstrated the superiority of JA over other state-of-the-art metaheuristic optimization methods in terms of optimized weight, number of structural analyses and several statistical parameters.

Keywords

• design optimization
• planar steel frames
• metaheuristic optimization methods
• Jaya algorithm

Kaynakça

1. [1] D. Henderson, S.H. Jacobson, A.W. Johnson, F. Glover and G.A. Kochenberger Handbook of metaheuristics. Chapter “The Theory and Practice of Simulated Annealing,” 57, 287-319. 2003.
2. [2] J.H. Holland. “Adaptation in natural and artificial systems,”.Ann Arbor, MI: University of Michigan Press; 1975.
3. [3] J. Kennedy and R. Eberhart “Particle swarm optimization”, In: Proceedings of IEEE international conference on neural networks. Perth, Australia, pp 1942–1948, 1995.
4. [4] M. Dorigo, V. Maniezzo and A. Colorni. “The ant system: optimization by a colony cooperating agents”. IEEE Trans Syst, Man Cybern B;1(26):29–41, 1996.
5. [5] O. Bozorg Haddad, A. Afshar, MA Marino “Honey bees mating optimization algorithm (HBMO); a new heuristic approach for engineering optimization” In: Proc. 1st int. conf. on modeling, simulation and applied optimization (ICMSA0/05), Sharjah, UAE; 2005 February
6. [6] M.R. Maheri, H. Shokrian and M.M. Narimani, “An enhanced honey bee mating optimization algorithm for design of side sway steel frames” Advances in Engineering Software, 109, 62-72, 2017.
7. [7] S. Mirjalili, and A. Lewis, “The whale optimization algorithm.” Advances in Engineering Software, 95, 51-67, 2016.
8. [8] A. Kaveh and M.I. Ghazaan, “Enhanced whale optimization algorithm for sizing optimization of skeletal structures”, Mechanics Based Design of Structures and Machines, 45(3), 345-362, 2017.

9. [9] P.J. Van Laarhoven and E.H. Aarts, “Simulated annealing. In Simulated annealing: Theory and applications” (pp. 7-15). Springer, Dordrecht, 1987.
10. [10] Z.W. Geem,, J.H. Kim and G.V. Loganathan, “A new heuristic optimization algorithm: harmony search”, Simulation, 76(2), 60-68, 2001
11. [11] O.K. Erol and I. Eksin, “A new optimization method: big bang–big crunch”, Advances in Engineering Software, 37(2), 106-111, 2006.
12. [12] A. Kaveh and V.R. Mahdavi, “Colliding bodies optimization: a novel meta-heuristic method”, Computers & Structures, 139, 18-27, 2014.
13. [13] C.V. Camp, B.J. Bichon and S.P. Stovall. “Design of steel frames using ant colony optimization.” Journal of Structural Engineering, 131(3), 369-379, 2005.
14. [14] S.O. Degertekin, “Optimum design of steel frames using harmony search algorithm.”, Structural and Multidisciplinary Optimization, 36(4), 393-401, 2008.
15. [15] M.P. Saka, M. P, “Optimum design of steel frames using stochastic search techniques based on natural phenomena: a review. Civil computations: tools and techniques”, Saxe-Coburg Publications, Stirlingshire, UK, 105-147, 2007.
16. [16] O. Hasançebi, S. Çarbaş, E. Doğan, F. Erdal and M.P. Saka, “Comparison of non-deterministic search techniques in the optimum design of real size steel frames”, Computers & structures, 88(17-18), 1033-1048, 2010.
17. [17] E. Doğan and M.P. Saka, “Optimum design of unbraced steel frames to LRFD–AISC using particle swarm optimization.” Advances in Engineering Software, 46(1), 27-34, 2012.
18. [18] F. Carraro, R.H. Lopez and L.F.F. Miguel, “Optimum design of planar steel frames using the Search Group Algorithm.” Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(4), 1405-1418, 2017.
19. [19] M. Farshchin, M. Maniat, C.V: Camp, and S. Pezeshk, “School based optimization algorithm for design of steel frames.” Engineering Structures, 171, 326-335, 2018.
20. [20] R. Rao, “Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems.” International Journal of Industrial Engineering Computations, 7(1), 19-34, 2016.
21. [21] K. Gao, Y. Zhang, A. Sadollah, and R. Su, “Jaya algorithm for solving urban traffic signal control problem” 14th International Conference on Control, Automation, Robotics and Vision (ICARCV) (pp. 1-6). IEEE, 2016
22. [22] L. Wang, Z. Zhang, C. Huang, and K.L. Tsui, “A GPU-accelerated parallel Jaya algorithm for efficiently estimating Li-ion battery model parameters.” Applied Soft Computing, 65, 12-20, 2018.
23. [23] P. Ocłoń, P. Cisek, M. Rerak, D. Taler, R. Rao, A. Vallati, and M. Pilarczyk, Thermal performance optimization of the underground power cable system by using a modified Jaya algorithm. International Journal of Thermal Sciences, 123, 162-180, 2018.
24. [24] Z. Ding, J. Li, and H. Hao, “Structural damage identification using improved Jaya algorithm based on sparse regularization and Bayesian inference.” Mechanical Systems and Signal Processing, 132, 211-231, 2019.
25. [25] S.O. Degertekin, L. Lamberti, and I.B. Ugur, “Sizing, layout and topology design optimization of truss structures using the Jaya algorithm.” Applied Soft Computing, 70, 903-928, 2018.
26. [26] S.O. Degertekin, L. Lamberti, and I.B. Ugur, “Discrete sizing/layout/topology optimization of truss structures with an advanced Jaya algorithm.” Applied Soft Computing, 79, 363-390, 2019.
27. [27] AISC-LRFD, “Manual of steel construction. Load and resistance factor design”. Metric conversion of the second edition, vol. I & II. AISC; 1999.
28. [28] The MathWorks, MATLAB®Version R2017a, Austin (TX) USA.
29. [29] S. Mazzoni, F. McKenna, M.H. Scott, and G. Fenves, OpenSees command language manual. Pacific Earthquake Engineering Research (PEER) Center, 264, 2006
30. [30] P. Dumonteil, W. Moore, “Simple Equations for Effective Length Factors-Discussion.” Eng J-Am Inst Steel Constr INC; 30:37–37, 1993.
31. [31] J.H. Davison and P.F. Adams, “Stability of braced and unbraced frames”, Journal of the Structural Division, 100(2), 319-334, 1974.