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

authored by: 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.
Organisation(s): Institute for Risk and Reliability
External Organisation(s): Universidad Tecnica Federico Santa Maria
Northwestern Polytechnical University
Universidade de Sao Paulo
Type: Article
Journal: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume: 7
No. of pages: 8
ISSN: 2332-9017
Publication date: 06.2021
Publication status: Published
ASJC Scopus subject areas: Mechanical Engineering, Safety, Risk, Reliability and Quality, Safety Research
Electronic version(s): https://doi.org/10.1115/1.4050159 (Access: Closed)