Application of a Reduced Order Model for Fuzzy Analysis of Linear Static Systems
Abstract
This contribution proposes a strategy for performing fuzzy analysis of linear static systems applying a-level optimization. In order to decrease numerical costs, full system analyses are replaced by a reduced order model that projects the equilibrium equations to a small-dimensional space. The basis associated with the reduced order model is constructed by means of a single analysis of the system plus a sensitivity analysis. This reduced basis is enriched as the a-level optimization strategy progresses in order to protect the quality of the approximations provided by the reduced order model. A numerical example shows that with the proposed strategy, it is possible to produce an accurate estimate of the membership function of the response of the system with a limited number of full system analyses.
Details
- Organisationseinheit(en)
-
Institut für Risiko und Zuverlässigkeit
- Externe Organisation(en)
-
Universidad Tecnica Federico Santa Maria
Northwestern Polytechnical University
Universidade de Sao Paulo
- Typ
- Artikel
- Journal
- ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
- Band
- 7
- Anzahl der Seiten
- 8
- ISSN
- 2332-9017
- Publikationsdatum
- 06.2021
- Publikationsstatus
- Veröffentlicht
- ASJC Scopus Sachgebiete
- Maschinenbau, Sicherheit, Risiko, Zuverlässigkeit und Qualität, Sicherheitsforschung
- Elektronische Version(en)
-
https://doi.org/10.1115/1.4050159 (Zugang:
Geschlossen
)
