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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 6/2012

01.12.2012 | Research Paper

Slope constrained material design

verfasst von: Fabian Schury, Michael Stingl, Fabian Wein

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2012

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Abstract

We investigate a class of constrained inverse homogenization problems. The complexity of the topological solution is restricted using slope constraint regularization. We show existence of the solution for the inverse optimization problem in function space and outline a converging approximation scheme. We demonstrate how a proper numerical implementation can lead to a stable material design approach. We finally describe results for a comprehensive set of numerical test cases.
Vorheriger Artikel Unified uncertainty analysis by the mean value first order saddlepoint approximation
Nächster Artikel Shape optimization of cantilevered columns subjected to a rocket-based follower force and its experimental verification

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Fußnoten
1
Due to symmetry, only 3 in 2D systems have to be solved.
 
2
E.g. SIMP: Solid Isotropic Material with Penalization.
 
3
For SnOpt a major iteration corresponds to the solution of a QP-subproblem, for details we refer to Gill et al. (2005).
 
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Metadaten
Titel
Slope constrained material design
verfasst von
Fabian Schury
Michael Stingl
Fabian Wein
Publikationsdatum
01.12.2012
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 6/2012
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-012-0795-3

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