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

Valdebenito, Marcos A, Jensen, Hector A, Wei, Pengfei, Beer, Michael ORCID: 0000-0002-0611-0345 and Beck, Andre T (2021) Application of a Reduced Order Model for Fuzzy Analysis of Linear Static Systems. ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING, 7 (2).

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Official URL: http://dx.doi.org/10.1115/1.4050159

Abstract

<jats:title>Abstract</jats:title> <jats:p>This contribution proposes a strategy for performing fuzzy analysis of linear static systems applying α-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 α-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.</jats:p>

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	25 Apr 2022 07:21
Last Modified:	21 Jul 2023 07:25
DOI:	10.1115/1.4050159
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3153876