Robust design of structures considering nonlinear responses from the perspective of duality principle

2017 Fiscal Year Final Research Report

• Project/Area Number: 26420545
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Building structures/Materials
• Research Institution: The University of Tokyo (2014, 2017); Tokyo Institute of Technology (2015-2016)
• Principal Investigator: Kanno Yoshihiro 東京大学, 大学院情報理工学系研究科, 教授 (10378812)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: ロバスト性 / 冗長性 / 相補性 / 半正定値計画 / 混合整数計画 / ロバスト最適化

Outline of Final Research Achievements

In this project, we have studied various aspects of robustness evaluation as well as robust optimal design of structures. Particularly, by making use of the concept of duality which plays a significant role in optimization theory, we have developed a robust optimization method of structures possessing uncertainty in its configuration. It was difficult to deal with this sort of uncertainty by the existing methods. Also, besides problems in elasticity, we have developed methods dealing with uncertainty and robustness issues in various elastoplastic problems. Furthermore, as fundamentals for the robust design optimization methods developed in this project, we have presented a couple of new formulations for design optimization problems possessing combinatorial properties.

Free Research Field

応用力学，数理工学，構造工学