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

作　　者：Yoshihiro Kanno Izuru Takewaki 

机构地区：[1]Mathematics and Informatics Center,The University of Tokyo,Hongo 7-3-1,Bunkyo-ku,Tokyo,113-8656,Japan [2]Department of Architecture,Kyoto Arts and Crafts University,Kawabata-Shichijo-Agaru,Higashiyama-Ku,Kyoto,605-0991,Japan

出　　处：《Computer Modeling in Engineering & Sciences》2025年第4期115-152,共38页工程与科学中的计算机建模(英文)

基　　金：partially supported by JSPS KAKENHI JP24K07747.

摘　　要：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.

关 键 词：UNCERTAINTY non-probabilisticmodeling optimization methods bound for structural response ROBUSTNESS 

分 类 号：O29[理学—应用数学]