Abstract
The computation procedure for structural shape optimization is based on the heuristic optimization procedures, such as swarm intelligence (SI), that use patterns found in self-organizing phenomena observed in nature. Most SI techniques including particle swarm optimization (PSO) and artificial bee colony (ABC), attain a global optimal solution. The firefly algorithm (FA) can attain both a global optimal and local optimal solutions by setting suitable computational parameters. However, the method for setting these parameters is comparatively difficult. In order to simplify the setting of these parameters, we implement a computational scheme where the distance between two fireflies in the design variable space is dimensionless. The effectiveness and the validity of this FA are clarified by showing the diversified solution for a global optimal solution and local optimal solutions using a local search in the structural shape optimization of a free-form surface shell.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Kennedy and R. Eberhart, Particle swarm optimization, Proc. of IEEE Inter. Conf. on Neural Network, IV (1995) 1942–1948.
D. Karaboga and B. Basturk, A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm, Journal of Glob Optimization, 39 (2007) 459–471.
X.-S. Yang, Firefly algorithms for multimodal optimization, Proc. 5th Inter. Conf. on Stochastic Algorithms, Foundations and Applications (2009) 169–178.
N. Tanaka and T. Honma, Structural shape optimization of free-form surface shell using firefly algorithm, Proc. of the International Association for Shell and Spatial Structures (IASS), CD-ROM, Peper No.1226 (2013) 1–8.
R. Storn and K. Price, Differential evolution — A simple and efficient heauristic fot glopbal optimization over continuous spaces, Journal of Glob Optimization, 11 (1997) 341–359.
O. C. Zienkiewicz and R. L. Taylor, The finite element method, 5th edition. Vol.2, Butterworth-Heinemann (2000).
S. J. Russell and P. Norvig, Artificial intelligence: A modern approach, Second edition, Upper Saddle River, New Jersey, Prentice Hall (2002) 111–114.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Guest Editor Joo-Ho Choi
Natsuki Tanaka received her B.Eng. degrees from Kagoshima University in 2013. She is currently a graduate student at Kagoshima University. Her research interests include structural morphogenesis, in architecture engineering field.
Toshio Honma received his B.Eng., M.Eng. and D.Eng. degrees from Nihon University in 1979, 1981, and 1986, respectively. He is currently a professor at Kagoshima University. His research interests include structural morphogenesis, form finding analysis and mechanical behavior analysis for tension structure, and optimum design based on decent solutions, in architecture engineering field.
Yohei Yokosuka received his B.F.A. degrees from Tokyo University of the Arts in 2006, and Ph.D. in Information Science degrees from JAIST in 2013. He is currently an assistant professor at Kagoshima University. His research interests include form-finding analysis for tension structure and variable geometry structure, in architecture engineering field.
Rights and permissions
About this article
Cite this article
Tanaka, N., Honma, T. & Yokosuka, Y. Structural shape optimization of free-form surface shell and property of solution search using firefly algorithm. J Mech Sci Technol 29, 1449–1455 (2015). https://doi.org/10.1007/s12206-015-0317-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-015-0317-5