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

Research Project

Project/Area Number 17K06633
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Building structures/Materials
Research InstitutionThe 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
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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 / 近接勾配法 / 交互方向乗数法 / DCアルゴリズム / 加速法 / 連続最適化 / 混合整数計画
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.

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.

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (40 results)

All 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (1 results) Journal Article (18 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 18 results,  Open Access: 2 results) Presentation (21 results) (of which Int'l Joint Research: 12 results,  Invited: 1 results)

  • [Int'l Joint Research] Technion(Israel)

    • Related Report
      2017 Research-status Report
  • [Journal Article] PRIMAL-DUAL ALGORITHM FOR QUASI-STATIC CONTACT PROBLEM WITH COULOMB'S FRICTION2022

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 65 Issue: 1 Pages: 1-22

    • DOI

      10.15807/jorsj.65.1

    • NAID

      130008154922

    • ISSN
      0453-4514, 2188-8299
    • Year and Date
      2022-01-31
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Accelerated proximal gradient method for bi-modulus static elasticity2021

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Optimization and Engineering

      Volume: to appear Issue: 1 Pages: 453-477

    • DOI

      10.1007/s11081-021-09595-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A NOTE ON ACCELERATED PROXIMAL GRADIENT METHOD FOR ELASTOPLASTIC ANALYSIS WITH TRESCA YIELD CRITERION2020

    • Author(s)
      Wataru Shimizu, Yoshihiro Kanno
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 63 Issue: 3 Pages: 78-92

    • DOI

      10.15807/jorsj.63.78

    • NAID

      130007882294

    • ISSN
      0453-4514, 2188-8299
    • Year and Date
      2020-07-31
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] On three concepts in robust design optimization: absolute robustness, relative robustness, and less variance2020

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 62 Issue: 2 Pages: 979-1000

    • DOI

      10.1007/s00158-020-02503-9

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] An accelerated Uzawa method for application to frictionless contact problem2020

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Optimization Letters

      Volume: 14 Issue: 7 Pages: 1845-1854

    • DOI

      10.1007/s11590-019-01481-2

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] A note on a family of proximal gradient methods for quasi-static incremental problems in elastoplastic analysis2020

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Theoretical and Applied Mechanics Letters

      Volume: 10 Issue: 5 Pages: 315-320

    • DOI

      10.1016/j.taml.2020.01.044

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Robust optimization of structures subjected to frictionless unilateral contact with uncertain initial gaps2020

    • Author(s)
      Yoshihiro Kanno
    • Journal Title

      Mechanical Engineering Letters

      Volume: 6 Issue: 0 Pages: 20-00224

    • DOI

      10.1299/mel.20-00224

    • NAID

      130007953815

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exploiting Lagrange duality for topology optimization with frictionless unilateral contact2020

    • Author(s)
      Kanno Yoshihiro
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 37 Issue: 1 Pages: 25-48

    • DOI

      10.1007/s13160-019-00375-1

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] A data-driven approach to non-parametric reliability-based design optimization of structures with uncertain load2019

    • Author(s)
      Kanno Yoshihiro
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 60 Issue: 1 Pages: 83-97

    • DOI

      10.1007/s00158-019-02199-6

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Alternating direction method of multipliers for truss topology optimization with limited number of nodes: a cardinality-constrained second-order cone programming approach2018

    • Author(s)
      Kanno Yoshihiro、Fujita Shinnosuke
    • Journal Title

      Optimization and Engineering

      Volume: 印刷中 Issue: 2 Pages: 327-358

    • DOI

      10.1007/s11081-017-9372-3

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Alternating direction method of multipliers as a simple effective heuristic for mixed-integer nonlinear optimization2018

    • Author(s)
      Kanno Yoshihiro, Kitayama Satoshi
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 58 Issue: 3 Pages: 1291-1295

    • DOI

      10.1007/s00158-018-1946-y

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Alternating Direction Method of Multipliers as Simple Heuristic for Topology Optimization of a Truss With Uniformed Member Cross Sections2018

    • Author(s)
      Kanno Yoshihiro
    • Journal Title

      Journal of Mechanical Design

      Volume: 141 Issue: 1 Pages: 011403-011403

    • DOI

      10.1115/1.4041174

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Heuristic Method Using Hessian Matrix for Fast Flow Topology Optimization2018

    • Author(s)
      Yonekura Kazuo, Kanno Yoshihiro
    • Journal Title

      Journal of Optimization Theory and Applications

      Volume: 180 Issue: 2 Pages: 671-681

    • DOI

      10.1007/s10957-018-1404-4

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Robust truss topology optimization via semidefinite programming with complementarity constraints: a difference-of-convex programming approach2018

    • Author(s)
      Kanno Yoshihiro
    • Journal Title

      Computational Optimization and Applications

      Volume: 71 Issue: 2 Pages: 403-433

    • DOI

      10.1007/s10589-018-0013-3

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Intrinsic Formulation and Lagrange Duality for Elastic Cable Networks with Geometrical Nonlinearity2018

    • Author(s)
      Kanno Yoshihiro
    • Journal Title

      Journal of Elasticity

      Volume: 134 Issue: 2 Pages: 193-217

    • DOI

      10.1007/s10659-018-9687-0

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] GLOBAL TOPOLOGY OPTIMIZATION OF STRUCTURAL FRAMES WITH UPPER BOUNDS FOR MEMBER LENGTHS AND NUMBER OF JOINTS2018

    • Author(s)
      藤田 慎之輔,寒野 善博
    • Journal Title

      Journal of Structural and Construction Engineering (Transactions of AIJ)

      Volume: 83 Issue: 745 Pages: 451-458

    • DOI

      10.3130/aijs.83.451

    • NAID

      130006588608

    • ISSN
      1340-4202, 1881-8153
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Accelerated proximal gradient method for elastoplastic analysis with von Mises yield criterion2017

    • Author(s)
      Shimizu Wataru, Kanno Yoshihiro
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 35 Issue: 1 Pages: 1-32

    • DOI

      10.1007/s13160-017-0280-x

    • NAID

      210000165277

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Structural design for earthquake resilience: Info-gap management of uncertainty2017

    • Author(s)
      Kanno Yoshihiro、Fujita Shinnosuke、Ben-Haim Yakov
    • Journal Title

      Structural Safety

      Volume: 69 Pages: 23-33

    • DOI

      10.1016/j.strusafe.2017.07.004

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Robust optimization of structures under unilateral contacts with uncertain initial gaps2021

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      The 14th World Congress of Structural and Multidisciplinary Optimization (WCSMO14)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 圧縮と引張とで材料定数が異なる弾性体の釣合い解析に対する加速射影勾配法2021

    • Author(s)
      寒野 善博
    • Organizer
      第34回計算力学講演会 (CMD2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] Topology optimization of structures under frictionless unilateral contact: a formulation without complementarity constraints2020

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Reliability- and robustness-based design2019

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      State-Of-The-Art (SOTA) Panel Session, the 13th World Congress of Structural and Multidisciplinary Optimization (WCSMO13)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Bridging reliability-based design optimization and robust design optimization: a data-driven approach2019

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      The 13th World Congress of Structural and Multidisciplinary Optimization (WCSMO13)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Accelerated proximal gradient methods for quasistatic analysis of elastoplastic continua2019

    • Author(s)
      Wataru Shimizu, Yoshihiro Kanno
    • Organizer
      The 30th European Conference on Operational Research (EURO 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Accelerated proximal gradient methods for incremental problems in plasticity2019

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      The 8th Symposium of the European Network for Nonsmooth Dynamics (ENNSD8)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 摩擦なし接触を伴う構造物のトポロジー最適化2019

    • Author(s)
      寒野 善博
    • Organizer
      第29回設計工学・システム部門講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 摩擦のない接触下のトポロジー最適化におけるLagrange双対性について2019

    • Author(s)
      寒野 善博
    • Organizer
      第42回情報・システム・利用・技術シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] A simple heuristic based on alternating direction method of multipliers for solving mixed-integer nonlinear optimization2018

    • Author(s)
      Yoshihiro Kanno, Satoshi Kitayama
    • Organizer
      Asian Congress of Structural and Multidisciplinary Optimization 2018 (ACSMO 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] An accelerated Uzawa method for frictionless contact problems2018

    • Author(s)
      Yoshihiro Kanno
    • Organizer
      The 10th European Solid Mechanics Conference (ESMC 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Global topology optimization of structural frames considering constructability2018

    • Author(s)
      Shinnosuke Fujita, Yoshihiro Kanno
    • Organizer
      International Association for Shell and Spatial Structures (IASS) Annual Symposium: Creativity in Structural Design
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 交互方向乗数法による混合整数非線形計画の発見的解法2018

    • Author(s)
      寒野 善博,北山 哲士
    • Organizer
      日本オペレーションズ・リサーチ学会秋季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] 交互方向乗数法による一様断面を有するトラスの位相最適化2018

    • Author(s)
      寒野 善博
    • Organizer
      第12回最適化シンポジウム (OPTIS 2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] 摩擦なし接触問題に対するUzawa法の加速法2018

    • Author(s)
      寒野 善博
    • Organizer
      第31回計算力学講演会 (CMD2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] 部材長に上限値を設けたトラスのトポロジー最適化2018

    • Author(s)
      寒野 善博
    • Organizer
      第41回情報・システム・利用・技術シンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] Mixed-integer second-order cone programming for truss topology optimization with self-weight load and limitation on number of nodes2017

    • Author(s)
      Y. Kanno
    • Organizer
      IEEE International Conference on Industrial Engineering and Engineering Management (IEEE IEEM2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A heuristic for truss topology optimization under constraint on number of nodes2017

    • Author(s)
      Y. Kanno, S. Fujita
    • Organizer
      IASS Annual Symposium—Interfaces: Architecture, Engineering, Scienc
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A fast first-order optimization approach to quasistatic elastoplastic analysis with von Mises yield criterion2017

    • Author(s)
      W. Shimizu, Y. Kanno
    • Organizer
      XIV International Conference on Computational Plasticity (COMPLAS 2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 交互方向乗数法によるトラスの節点数制約つき位相最適化2017

    • Author(s)
      寒野 善博,藤田 慎之輔
    • Organizer
      日本機械学会第27回設計工学・システム部門講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 加速勾配法による大規模骨組構造の弾性解析2017

    • Author(s)
      山本 発,寒野 善博,藤田 慎之輔
    • Organizer
      2017年度日本建築学会大会学術講演会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2023-01-30  

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