Application of a Reduced Order Model for Fuzzy Analysis of Linear Static Systems

verfasst von

Marcos A. Valdebenito, Héctor A. Jensen, Pengfei Wei, Michael Beer, André T. Beck

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.

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)