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Structural and Multidisciplinary Optimization

Erschienen in:

01.10.2014 | RESEARCH PAPER

Element deformation scaling for robust geometrically nonlinear analyses in topology optimization

verfasst von: N. P. van Dijk, M. Langelaar, F. van Keulen

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 4/2014

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Abstract

Geometrically nonlinear structural analyses in conventional density-based Topology Optimization (TO) may fail due to excessive deformation, concerning in particular compression in low stiffness parts (void) of the domain. This limits the application of TO in the field of realistic large deflection mechanisms, actuators and multi-stable structures.

This paper investigates the source of the instabilities that may be encountered using the conventional strategy to scale the stiffness of finite elements using the density (e.g. SIMP). Based on the findings, we propose a new design interpolation, called Element Deformation Scaling (EDS), to obtain more robust structural analyses for geometrically nonlinear TO. Instead of scaling the stiffness, EDS scales the local internal displacements, and therefore, the deformation, in a low-density finite element. This ensures that, even for extremely deformed finite elements, the internal displacements remain in the range of applicability of the material model and finite element description.

The effectiveness of the proposed method is compared with the conventional approach (e.g. SIMP) and the Element Connectivity Parameterization (ECP) method using several numerical experiments using path-following techniques. The proposed method, EDS, is demonstrated to lead to more robust structural analyses than the other approaches. However, EDS still has limitations. These limitations are discussed in detail.

Vorheriger Artikel Optimal SVM parameter selection for non-separable and unbalanced datasets

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It is also possible to choose, for instance, the average of the rotations of the sides of a finite element. However, any choice for the rotation leads to similar problems as the ones discussed here.

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Titel: Element deformation scaling for robust geometrically nonlinear analyses in topology optimization
verfasst von: N. P. van Dijk
M. Langelaar
F. van Keulen
Publikationsdatum: 01.10.2014
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 4/2014
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-014-1145-4

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