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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 6/2016

26.04.2016 | RESEARCH PAPER

Thickness control in structural optimization via a level set method

verfasst von: G. Allaire, F. Jouve, G. Michailidis

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2016

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Abstract

In the context of structural optimization via a level-set method we propose a framework to handle geometric constraints related to a notion of local thickness. The local thickness is calculated using the signed distance function to the shape. We formulate global constraints using integral functionals and compute their shape derivatives. We discuss different strategies and possible approximations to handle the geometric constraints. We implement our approach in two and three space dimensions for a model of linearized elasticity. As can be expected, the resulting optimized shapes are strongly dependent on the initial guesses and on the specific treatment of the constraints since, in particular, some topological changes may be prevented by those constraints.
Vorheriger Artikel Free material optimization for laminated plates and shells
Nächster Artikel Structural optimization methods of nonlinear static analysis with contact and its application to design lightweight gear box of automatic transmission of vehicles

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Metadaten
Titel
Thickness control in structural optimization via a level set method
verfasst von
G. Allaire
F. Jouve
G. Michailidis
Publikationsdatum
26.04.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 6/2016
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1453-y

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