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  4. Robust design optimization with design-dependent random input variables
 
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Robust design optimization with design-dependent random input variables

Citation Link: https://doi.org/10.15480/882.2926
Publikationstyp
Journal Article
Date Issued
2020-02-01
Sprache
English
Author(s)
Kriegesmann, Benedikt  orcid-logo
Institut
Strukturoptimierung im Leichtbau M-EXK1  
TORE-DOI
10.15480/882.2926
TORE-URI
http://hdl.handle.net/11420/4452
Journal
Structural and multidisciplinary optimization  
Volume
61
Issue
2
Start Page
661
End Page
674
Citation
Structural and Multidisciplinary Optimization 61 (2): 661-674 (2020-02-01)
Publisher DOI
10.1007/s00158-019-02388-3
Scopus ID
2-s2.0-85076510320
Publisher
Springer
This paper addresses the dependency of design parameters and random variables within robust design optimization. If the stochastic distributions of random input variables are design-dependent, then this dependency must be included in the gradient, when using gradient-based optimization methods. The paper provides the basic theoretical principles and two approaches for incorporating design-dependent distributions of random variables in robust design optimization: one approach based on Monte Carlo sampling and another based on Taylor series expansions. Both these approaches do not require additional structural analyses (e.g., finite element simulations). Describing the design dependency of input distributions can, however, be a challenging task. Numerical applications to different academic examples are presented, demonstrating the potential of the proposed approaches and several implications that may emerge in the process.
Subjects
Design-dependent random variables
Probabilistic approaches
Robust design optimization
Robust topology optimization
DDC Class
620: Ingenieurwissenschaften
Publication version
acceptedVersion
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
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