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A generalized approach for robust topology optimization using the first-order second-moment method for arbitrary response functions
Citation Link: https://doi.org/10.15480/882.5183
Publikationstyp
Journal Article
Date Issued
2023-04-13
Sprache
English
Author(s)
Institut
TORE-DOI
Volume
66
Issue
5
Start Page
1
End Page
13
Article Number
98
Citation
Structural and Multidisciplinary Optimization 66 (5): 98 (2023-04-13)
Publisher DOI
Scopus ID
Peer Reviewed
true
The paper presents a rigorous formulation of adjoint systems to be solved for a robust design optimization using the first-order second-moment method. This formulation allows to apply the method for any objective function, which is demonstrated by considering deformation at certain point and maximum stress as objectives subjected to random material stiffness and geometry, respectively. The presented approach requires the solution of at most three additional adjoint systems per uncertain system response, when compared to the deterministic case. Hence, the number of adjoint systems to be solved is independent of the number of random variables. This comes at the expense of accuracy, since the objective functions are assumed to be linear with respect to random parameters. However, the application to two standard cases and the validation with Monte Carlo simulations show that the approach is still able to find robust designs.
Subjects
First-order approximation
Optimization under uncertainties
Robust topology optimization
DDC Class
620: Ingenieurwissenschaften
Publication version
publishedVersion
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s00158-023-03540-w.pdf
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1.32 MB
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