Journal of the Korean Society of Manufacturing Technology Engineers (한국생산제조학회지)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
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Improvement of Topology Algorithm's Convergence Rate Using Chaotic Map

카오틱 맵을 이용한 위상 최적화 알고리즘의 수렴속도 향상

  • 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)
  • Received : 2014.03.12
  • Accepted : 2014.05.22
  • Published : 2014.06.15
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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.

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References

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