Application of a Reduced Order Model for Fuzzy Analysis of Linear Static Systems
- 1 June 2021
- journal article
- research article
- Published by ASME International in Asce-Asme Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering
- Vol. 7 (2)
- https://doi.org/10.1115/1.4050159
Abstract
This contribution proposes a strategy for performing fuzzy analysis of linear static systems applying alpha-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 alpha-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.Funding Information
- Fondo Nacional de Desarrollo Científico y Tecnológico (1180271)
- Fundação de Amparo à Pesquisa do Estado de São Paulo (2019/13080-9)
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