Optimization-Based Approaches to Uncertainty Analysis of Structures Using Non-Probabilistic Modeling: A Review

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Publicat a:Computer Modeling in Engineering & Sciences vol. 143, no. 1 (2025), p. 115
Autor principal: Kanno, Yoshihiro
Altres autors: Takewaki, Izuru
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Tech Science Press
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Accés en línia:Citation/Abstract
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022 |a 1526-1492 
022 |a 1526-1506 
024 7 |a 10.32604/cmes.2025.061551  |2 doi 
035 |a 3200121329 
045 2 |b d20250101  |b d20251231 
100 1 |a Kanno, Yoshihiro 
245 1 |a Optimization-Based Approaches to Uncertainty Analysis of Structures Using Non-Probabilistic Modeling: A Review 
260 |b Tech Science Press  |c 2025 
513 |a Journal Article 
520 3 |a Response analysis of structures involving non-probabilistic uncertain parameters can be closely related to optimization. This paper provides a review on optimization-based methods for uncertainty analysis, with focusing attention on specific properties of adopted numerical optimization approaches. We collect and discuss the methods based on nonlinear programming, semidefinite programming, mixed-integer programming, mathematical programming with complementarity constraints, difference-of-convex programming, optimization methods using surrogate models and machine learning techniques, and metaheuristics. As a closely related topic, we also overview the methods for assessing structural robustness using non-probabilistic uncertainty modeling. We conclude the paper by drawing several remarks through this review. 
653 |a Probability theory 
653 |a Probabilistic models 
653 |a Semidefinite programming 
653 |a Mixed integer 
653 |a Uncertainty analysis 
653 |a Integer programming 
653 |a Machine learning 
653 |a Parameter uncertainty 
653 |a Convexity 
653 |a Mathematical programming 
653 |a Nonlinear programming 
653 |a Heuristic methods 
653 |a Optimization 
653 |a Design optimization 
653 |a Fuzzy sets 
653 |a Random variables 
653 |a Design specifications 
653 |a Algorithms 
700 1 |a Takewaki, Izuru 
773 0 |t Computer Modeling in Engineering & Sciences  |g vol. 143, no. 1 (2025), p. 115 
786 0 |d ProQuest  |t Advanced Technologies & Aerospace Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3200121329/abstract/embedded/L8HZQI7Z43R0LA5T?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3200121329/fulltextPDF/embedded/L8HZQI7Z43R0LA5T?source=fedsrch