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Erschienen in: Structural and Multidisciplinary Optimization 6/2017

30.09.2017 | DISCUSSION

A short numerical study on the optimization methods influence on topology optimization

verfasst von: Susana Rojas-Labanda, Ole Sigmund, Mathias Stolpe

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2017

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Abstract

Structural topology optimization problems are commonly defined using continuous design variables combined with material interpolation schemes. One of the challenges for density based topology optimization observed in the review article (Sigmund and Maute Struct Multidiscip Optim 48(6):1031–1055 2013) is the slow convergence that is often encountered in practice, when an almost solid-and-void design is found. The purpose of this forum article is to present some preliminary observations on how designs evolves during the optimization process for different choices of optimization methods. Additionally, the authors want to open a discussion on how to properly define and identify the boundary translation that is often observed in practice. The authors hope that these preliminary observations can open for fruitful discussions and stimulate further investigations concerning slowly moving boundaries. Although the discussion is centered on density based methods it may be equally relevant to level-set and phase-field approaches.

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Fußnoten
1
In this manuscript the word solve (in the context of optimization problems) should be understood as finding a point numerically satisfying the KKT conditions within some prescribed tolerances.
 
2
Number of optimization sub-problems solved.
 
3
The KKT condition of IPOPT cannot be obtained with the interface used in these numerical examples, and thus cannot be presented in Fig. 9.
 
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Metadaten
Titel
A short numerical study on the optimization methods influence on topology optimization
verfasst von
Susana Rojas-Labanda
Ole Sigmund
Mathias Stolpe
Publikationsdatum
30.09.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 6/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1813-2

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