The ESO method revisited

Article

Ghabraie, Kazem. 2015. "The ESO method revisited." Structural and Multidisciplinary Optimization. 51 (6), pp. 1211-1222. https://doi.org/10.1007/s00158-014-1208-6
Article Title

The ESO method revisited

ERA Journal ID3820
Article CategoryArticle
Authors
AuthorGhabraie, Kazem
Journal TitleStructural and Multidisciplinary Optimization
Journal Citation51 (6), pp. 1211-1222
Number of Pages12
Year2015
PublisherSpringer
Place of PublicationHeidelberg, Germany
ISSN1615-147X
1615-1488
Digital Object Identifier (DOI)https://doi.org/10.1007/s00158-014-1208-6
Web Address (URL)http://link.springer.com/article/10.1007%2Fs00158-014-1208-6
Abstract

This paper examines the evolutionary structural optimisation (ESO) method and its shortcomings. By proposing a problem statement for ESO followed by an accurate sensitivity analysis a framework is presented in which ESO is mathematically justifiable. It is shown that when using a sufficiently accurate sensitivity analysis, ESO method is not prone to the problem proposed by Zhou and Rozvany (Struct Multidiscip Optim 21(1):80–83, 2001). A complementary discussion on previous communications about ESO and strategies to overcome the Zhou-Rozvany problem is also presented. Finally it is shown that even the proposed rigorous ESO approach can result in highly inefficient local optima. It is discussed that the reason behind this shortcoming is ESO's inherent unidirectional approach. It is thus concluded that the ESO method should only be used on a very limited class of optimisation problems where the problem's constraints demand a unidirectional approach to final solutions. It is also discussed that the Bidirectional ESO (BESO) method is not prone to this shortcoming and it is suggested that the two methods be considered as completely separate optimisation techniques.

Keywordsbidirectional evolutionary structural optimization; BESO; compliance design; evolutionary structural optimization; ESO; hard-kill methods; sensitivity analysis; sequential element rejection and admission; SERA
ANZSRC Field of Research 2020490206. Statistical mechanics, physical combinatorics and mathematical aspects of condensed matter
400510. Structural engineering
490304. Optimisation
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Byline AffiliationsSchool of Civil Engineering and Surveying
Institution of OriginUniversity of Southern Queensland
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