Game theory approach to robust topology optimization with uncertain loading

被引：24

作者：

Holmberg, Erik ^{[1
,2
]}

Thore, Carl-Johan ^{[1
]}

Klarbring, Anders ^{[1
]}

机构：

[1] Linkoping Univ, Inst Technol, Div Solid Mech, Dept Management & Engn, SE-58183 Linkoping, Sweden

[2] Saab AB, SE-58188 Linkoping, Sweden

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2017年 / 55卷 / 04期

关键词：

Topology optimization; Robust optimization; Game theory; Nash equilibrium; Stress constraints; STRUCTURAL OPTIMIZATION; NASH GAME; ALGORITHMS; MINIMIZATION; CONSTRAINTS; DESIGN;

D O I：

10.1007/s00158-016-1548-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper concerns robustness with respect to uncertain loading in topology optimization problems. Using a game theoretic framework we formulate problems, or games, defining generalized Nash equilibria. In each game a set of topology design variables aim to find an optimal topology, while a set of load variables aim to find the worst possible load. Several numerical examples with uncertain loading are solved in 2D and 3D. The games are formulated using global stress, mass and compliance as objective functions or constraints.

引用

页码：1383 / 1397

页数：15

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