Browse > Article
http://dx.doi.org/10.7735/ksmte.2014.23.3.279

Improvement of Topology Algorithm's Convergence Rate Using Chaotic Map  

Kim, Yong-Ho (Department of Mechanical Engineering, Hanyang Graduate School)
Kim, Gi-Chul (Division of Mechanical Engineering, Hanyang University)
Lee, Jae-Hwan (Division of Mechanical Engineering, Hanyang University)
Jang, Hyo-Jae (Division of Mechanical Engineering, Hanyang University)
Han, Seog-Young (Division of Mechanical Engineering, Hanyang University)
Publication Information
Journal of the Korean Society of Manufacturing Technology Engineers / v.23, no.3, 2014 , pp. 279-283 More about this Journal
Abstract
Recently, a topology algorithm based on the artificial bee colony algorithm (ABCA) has been proposed for static and dynamic topology optimization. From the results, the convergence rate of the algorithm was determined to be slightly slow. Therefore, we propose a new search method to improve the convergence rate of the algorithm using a chaotic map. We investigate the effect of the chaotic map on the convergence rate of the algorithm in static and dynamic topology optimization. The chaotic map has been applied to three cases, namely, employ bee search, onlooker bee search, and both employ bee as well as onlooker bee search steps. It is verified that the case in which the logistic function of the chaotic map is applied to both employ bee as well as onlooker bee search steps shows the best dynamic topology optimization, improved by 5.89% compared to ABCA. Therefore, it is expected that the proposed algorithm can effectively be applied to dynamic topology optimization to improve the convergence rate.
Keywords
Artificial bee colony algorithm; Chaotic map; Finite element method; Topology optimization;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Gandomi, A. H., Yun, G. J., Yang, X.-S., Talatahari, S., 2013, Chaos-enhanced Accelerated Particle Swarm Optimization, Commun. Nonlinear Sci. Numer. Simul. 18:2 327-340.   DOI
2 Alatas, B., 2010, Chaotic Harmony Search Algorithms, Appl. Math. Comput. 216:9 2687-2699.   DOI   ScienceOn
3 Huang, X., Xie, Y. M., 2007, Convergent and Mesh-independent Solutions for the Bi-directional Evolutionary Structural Optimization Method, Finite Elem. Anal. Des. 43:14 1039-1049.   DOI   ScienceOn
4 Bendsoe, M. P., Sigmund, O., 2003, Topology Optimization: Theory, Methods and Applications, Springer, Berlin.
5 Huang, X., Xie, Y. M., 2010, Evolutionary Topology Optimization of Continuum Structures: Methods and Applications, Wiley, India.
6 Hsieh, H.-T., Chu, C.-H., 2012, Optimization of Tool Path Planning in 5-Axis Flank Milling of Ruled Surfaces with Improved PSO, Int. J. Precis. Eng. Manuf. 13:1 77-84.   DOI   ScienceOn
7 Kaveh, A., Hassani, B., Shojaee, S., Tavakkoli, S. M., 2008, Structural Topology Optimization Using Ant Colony Methodology, Eng. Struct. 30:9 2559-2565.   DOI   ScienceOn
8 Karaboga, D., Akay, B., 2009, A Survey: Algorithms Simulating Bee Swarm Intelligence, Artif. Intell. Rev. 31:1-4 61-85.   DOI
9 Karaboga, D., Basturk, B., 2007, Artificial Bee Colony (ABC) Optimization Algorithm for Solving Constrained Optimization Problems, Found. Fuzzy Log. Soft Comput. 4529 789-798.   DOI
10 Omkar, S. N., Senthilnath, J., Khandelwal, R., Naik, G. N., Gopalakrishnan, S., 2011, Artificial Bee Colony (ABC) for Multiobjective Design Optimization of Composite Structures, Appl. Soft Comput. 11:1 489-499.   DOI   ScienceOn
11 Park, J.-Y., Eom, Y.-S., Yoo, K.-S., Park, J.-Y., Han, S.-Y., 2010, Optimum Design of Structures Using Modified Bee Colony Algorithm, Korea Soc. Mach. Tool Eng. Autumn Conf. 2010 61-62
12 Park, J.-Y., Ryu, S.-P., Eom, Y.-S., Yoo, K.-S., Park, J.-Y., Han, S.-Y., 2010, Application of Modified Bee Colony Algorithm for Structural Dynamic Problems Korea Soc. Mach. Tool Eng. Autumn Conf. 2010 57-58.
13 Talatahari, S., Kaveh, A., Sheikholeslami, R., 2012, Chaotic Imperialist Competitive Algorithm for Optimum Design of Truss Structures, Struct. Multidiscip. Optim. 46:3 355-367.   DOI
14 Karaboga, D., Basturk, B., 2008, On the Performance of Artificial Bee Colony (ABC) Algorithm, Appl. Soft Comput. 8:1 687-697.   DOI   ScienceOn