Application of a Reduced Order Model for Fuzzy Analysis of Linear Static Systems
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume 7, Issue 2
Abstract
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. This article is available in the ASME Digital Collection at https://doi.org/10.1115/1.4050159.
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Copyright © 2021 by ASME.
History
Received: Jun 26, 2020
Revision received: Aug 28, 2020
Published online: Apr 23, 2021
Published in print: Jun 1, 2021
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