Evolutionary topology optimization using design space adjustment based on fixed grid

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Design space optimization for topology based on fixed grid is proposed and its superiority to conventional topology optimization is shown. In the conventional topology optimization, the design domain is fixed. It is, however, desirable to make the design domain evolve into a better one during optimization process by increasing or decreasing the number of design pixels or variables, which we call design space optimization. A breakthrough in obtaining sensitivities when design space expands has been made recently with necessary mathematical background, but due to coupling effect and others, sensitivity results have not been satisfactory. Three innovative implementations are developed in this paper. Firstly, the proper characteristics of artificial material are defined. The second one is to decouple neighbouring elements for exact design space sensitivities. The previous design space optimization has been tedious because only one layer can be added. So, the third innovation is a new expansion strategy with multi-layers based on design space sensitivities. As a result, the proposed evolutionary method can get an optimum much faster than ever before especially for large-scale problems. It is also conjectured that this gives higher probability of getting the global optimum, as confirmed by numerical examples. Copyright (c) 2005 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY & SONS LTD
Issue Date
2006-06
Language
English
Article Type
Article
Keywords

STRUCTURAL OPTIMIZATION; HOMOGENIZATION METHOD; SHAPE; ALGORITHM

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.66, pp.1817 - 1840

ISSN
0029-5981
DOI
10.1002/nme.1607
URI
http://hdl.handle.net/10203/91461
Appears in Collection
GT-Journal Papers(저널논문)ME-Journal Papers(저널논문)
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