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Robust multiscale optimization accounting for spatially-varying material uncertainties

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Title: Robust multiscale optimization accounting for spatially-varying material uncertainties
Authors: Thillaithevan, D
Bruce, P
Santer, M
Item Type: Journal Article
Abstract: In this work we demonstrate a methodology for performing robust optimization using multivariable parameterized lattice microstructures. By introducing material uncertainties at the microscale, we are able to simulate the variations in geometry that occur during the manufacturing stage and design structures which are tolerant to variations in the microscale geometry. We impose both uniform and spatially-varying, non-uniform material uncertainties to generate structures which, in terms of standard deviation, are up to 77% more robust in the non-spatially uncertainty varying case, and 74% more robust in the spatially-varying case. We also explore the utility of imposing spatially-varying material uncertainties compared to using homogeneous, uniform material uncertainties, which are much less computationally expensive. It is found that when designs that have been optimized assuming uniform uncertainties are subject to spatially-varying uncertainties, their standard deviations of compliance are similar to designs optimized assuming spatially-varying uncertainties. However, their mean compliances are far higher in comparison to designs generated by assuming spatially-varying material uncertainties.
Issue Date: 18-Jan-2022
Date of Acceptance: 13-Oct-2021
URI: http://hdl.handle.net/10044/1/92712
DOI: 10.1007/s00158-021-03104-w
ISSN: 1615-147X
Publisher: Springer
Start Page: 1
End Page: 18
Journal / Book Title: Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems
Volume: 65
Issue: 40
Copyright Statement: © The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords: Science & Technology
Computer Science, Interdisciplinary Applications
Engineering, Multidisciplinary
Computer Science
Robust optimization
Lattice microstructures
Spatially-varying material uncertainty
Additive manufacturing
Karhunen-Loeve expansion
Polynomial chaos expansion
01 Mathematical Sciences
09 Engineering
Design Practice & Management
Publication Status: Published
Online Publication Date: 2022-01-18
Appears in Collections:Aeronautics
Faculty of Engineering

This item is licensed under a Creative Commons License Creative Commons