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Multidisciplinary System Optimisation on the Design of Cost Effective Space Launch Vehicle Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Optimization of Oriented and Parametric Cellular Structures by the Homogenization Method

Authors : Perle Geoffroy-Donders, Grégoire Allaire, Julien Cortial, Olivier Pantz

Published in: Advances in Structural and Multidisciplinary Optimization

Publisher: Springer International Publishing

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Abstract

We present here a topology optimization method based on a homogenization approach to design oriented and parametrized cellular structures. The present work deals with 2-D square cells featuring a rectangular hole, because their structure is close to that of rank-2 sequential laminates, which are optimal for compliance optimization. For several cells, the value and the parametric sensitivities of their effective elastic tensor can easily be computed, by the resolution of a cell problem. The obtained results can be used to build a surrogate model for the homogenized constitutive law. Moreover, we add the local orientation of the cells to our problem. Then, an optimal composite shape is computed thanks to an alternate directions algorithm. The crucial ingredient of the methodology is the extraction of a quasi-periodic and additive manufacturable structure from the previously obtained composite shape, based on the introduction of a space transformation.

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previous chapter Optimal Design of Double-Pipe Heat Exchangers
next chapter Generating the Best Stacking Sequence Table for the Design of Blended Composite Structures
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Metadata
Title
Optimization of Oriented and Parametric Cellular Structures by the Homogenization Method
Authors
Perle Geoffroy-Donders
Grégoire Allaire
Julien Cortial
Olivier Pantz
Copyright Year
2018
Book
Advances in Structural and Multidisciplinary Optimization

Print ISBN: 978-3-319-67987-7

Electronic ISBN: 978-3-319-67988-4

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-67988-4_58

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