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

Autor(es)

Valdebenito, Marcos A. ^[1] ; Jensen, Hector A. ^[1] ; Wei, Pengfei ^[2] ; Beer, Michael ^[3] ; Beck, Andre T. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Tecn Federico Santa Maria, Dept Obras Civiles, Ave Espana 1680, Valparaiso 2390123 - Chile

^[2] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072 - Peoples R China

^[3] Leibniz Univ Hannover, Inst Risk & Reliabil, Callinstr 34, D-30167 Hannover - Germany

^[4] Univ Sao Paulo, Dept Struct Engn, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING; v. 7, n. 2 JUN 1 2021.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 19/13080-9 - Projeto ótimo baseado em confiabilidade de sistemas estruturais considerando colapso progressivo
• Beneficiário: André Teófilo Beck
• Modalidade de apoio: Auxílio à Pesquisa - Regular