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

07.01.2017 | RESEARCH PAPER

Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements

verfasst von: Lukas Radau, Nikolai Gerzen, Franz-Joseph Barthold

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

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Abstract

The paper is concerned with the sensitivity analysis of structural responses in context of linear and non-linear stability phenomena like buckling and snapping. The structural analysis covering these stability phenomena is summarised. Design sensitivity information for a solid shell finite element is derived. The mixed formulation is based on the Hu-Washizu variational functional. Geometrical non-linearities are taken into account with linear elastic material behaviour. Sensitivities are derived analytically for responses of linear and non-linear buckling analysis with discrete finite element matrices. Numerical examples demonstrate the shape optimisation maximising the smallest eigenvalue of the linear buckling analysis and the directly computed critical load scales at bifurcation and limit points of non-linear buckling analysis, respectively. Analytically derived gradients are verified using the finite difference approach.
Vorheriger Artikel Constrained combinatorial optimization of multi-layered composite structures by means of Stud GA with proportionate selection and extinction
Nächster Artikel An adaptive local range sampling method for reliability-based design optimization using support vector machine and Kriging model

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Metadaten
Titel
Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements
verfasst von
Lukas Radau
Nikolai Gerzen
Franz-Joseph Barthold
Publikationsdatum
07.01.2017
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/s00158-016-1639-3

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