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Robust contact-constrained topology optimization considering uncertainty at the contact support
Citation Link: https://doi.org/10.15480/882.9375
Publikationstyp
Journal Article
Publikationsdatum
2024-04
Sprache
English
Enthalten in
Volume
67
Issue
4
Article Number
46
Citation
Structural and multidisciplinary optimization 67: 46 (2024-04)
Publisher DOI
Publisher Link
Scopus ID
Publisher
Springer Nature
Peer Reviewed
true
In this paper, the general framework for contact-constrained topology optimization of Strömberg and Klarbring (2010) is extended to robust topology optimization. In doing so, a linear elastic design domain is considered and the augmented Lagrangian approach is used to model the unilateral contact. For topology optimization, the design space is parametrized with the SIMP-approach and the Sigmund’s filter is applied. Additionally, the robust framework considers uncertainties at the contact support such as deviations of the geometry of the contact surface and the friction coefficient. Both uncertainties are described by the first-order second-moment method which leads to minimal additional costs. In fact, only two additional linear equations must be solved to obtain the robust objective and its gradient with respect to the design variables. Having both the objective and the gradient, the design update is computed with the method of moving asymptotes. The robust framework is applied to 2D and 3D examples to prove its scalability for real-world applications.
Schlagworte
Robust topology optimization
Robust design optimization
Contact
Method of moments
DDC Class
550: Earth Sciences, Geology
624: Civil Engineering, Environmental Engineering
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