Acceleration of the numerical solutions of structural optimization: Development of optimization methods for large-scale structures

2021 Fiscal Year Final Research Report

• Project/Area Number: 17K06633
• 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
• 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): 2017-04-01 – 2022-03-31
• Keywords: 最適設計 / 構造最適化 / 凸最適化 / 双対性 / 加速勾配法 / 信頼性最適設計 / ロバスト最適化

Outline of Final Research Achievements

Recently, in diverse areas of science and engineering, various data-driven methods and methodologies have been studied. Accordingly, many novel methods for solving large-scale optimization problems have been developed extensively. The aim of this research project is to develop a series of numerical methods solving various nonlinear problems and design optimization problems of structures, where the emerging large-scale optimization methods are considered to be guidance of the developments. The outcomes include fast numerical methods for elastoplastic problems and contact problems, novel formulations for robust design optimization, efficient heuristics for design optimization problems with combinatorial constraints.

Free Research Field

応用力学，数理工学

Academic Significance and Societal Importance of the Research Achievements

最適設計法は，構造物の設計過程の合理化にとどまらず，高度な性能が要求される構造物を設計するには欠かせない方法論である．最適設計のさらなる実用化に向けた課題の1つとして，この研究課題では，大規模な非線形解析や最適設計問題を高速に解く一連の手法を開発することを目指した．また，実装の容易な手法とすることで，より実用化を促進することを目指した．このように，この研究課題の成果は，先進的な構造物の設計に欠くことのできない最適設計法のさらなる実用化に向けた基礎技術の集積であるとみなせる．