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

Research Project

Project/Area Number 26420545
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 (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
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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 / 相補性条件
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.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (34 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (16 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 15 results,  Acknowledgement Compliant: 12 results) Presentation (17 results) (of which Int'l Joint Research: 8 results,  Invited: 2 results)

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

    • Related Report
      2017 Annual Research Report
  • [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 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A note on truss topology optimization under self-weight load: Mixed-integer second-order cone programming approach2017

    • Author(s)
      Y. Kanno, H. Yamada
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 未定 Issue: 1 Pages: 221-226

    • DOI

      10.1007/s00158-017-1657-9

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robustness evaluation of elastic-plastic base-isolated high-rise buildings under critical double impulse2017

    • Author(s)
      K.Fujita, K.Yasuda, Y.Kanno and I.Takewaki
    • Journal Title

      Frontiers in Built Environment

      Volume: 3(31)

    • DOI

      10.3389/fbuil.2017.00031

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robustness of SDOF elastoplastic structure subjected to double-impulse input under simultaneous uncertainties of yield deformation and stiffness2017

    • Author(s)
      Y. Kanno, K. Yasuda, K. Fujita, I. Takewaki
    • Journal Title

      International Journal of Non-Linear Mechanics

      Volume: 91 Pages: 151-162

    • DOI

      10.1016/j.ijnonlinmec.2017.02.013

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Redundancy optimization of finite-dimensional structures: Concept and derivative-free algorithm2017

    • Author(s)
      Y. Kanno
    • Journal Title

      Journal of Structural Engineering (ASCE)

      Volume: 43 Issue: 1 Pages: 04016151-04016151

    • DOI

      10.1061/(asce)st.1943-541x.0001630

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] A fast first-order optimization approach to elastoplastic analysis of skeletal structures2016

    • Author(s)
      Y. Kanno
    • Journal Title

      Optimization and Engineering

      Volume: 17 Issue: 4 Pages: 861-896

    • DOI

      10.1007/s11081-016-9326-1

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robustness analysis of elastoplastic structure subjected to double impulse2016

    • Author(s)
      Y. Kanno, I. Takewaki
    • Journal Title

      Journal of Sound and Vibration

      Volume: 383 Pages: 309-323

    • DOI

      10.1016/j.jsv.2016.07.023

    • NAID

      120006863505

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A note on formulations of static shakedown analysis with bounded kinematic hardening2016

    • Author(s)
      Y. Kanno
    • Journal Title

      Mechanics Research Communications

      Volume: 74 Pages: 57-59

    • DOI

      10.1016/j.mechrescom.2016.04.005

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Global optimization of trusses with constraints on number of different cross-sections: A mixed-integer second-order cone programming approach2016

    • Author(s)
      Y. Kanno
    • Journal Title

      Computational Optimization and Applications

      Volume: 63 Issue: 1 Pages: 203-236

    • DOI

      10.1007/s10589-015-9766-0

    • NAID

      200000446874

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Relaxation approach to topology optimization of frame structure under frequency constraint2016

    • Author(s)
      S. Yamada and Y. Kanno
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 53 Issue: 4 Pages: 731-744

    • DOI

      10.1007/s00158-015-1353-6

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Mixed-integer second-order cone programming for global optimization of compliance of frame structure with discrete design variables2016

    • Author(s)
      Y. Kanno
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 印刷中 Issue: 2 Pages: 301-316

    • DOI

      10.1007/s00158-016-1406-5

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: a robust optimization approach2016

    • Author(s)
      T. Yamaguchi and Y. Kanno
    • Journal Title

      International Journal for Numerical Methods in Engineering

      Volume: 印刷中 Issue: 13 Pages: 1136-1144

    • DOI

      10.1002/nme.5206

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimal design of periodic frame structures with negative thermal expansion via mixed integer programming2015

    • Author(s)
      R. Hirota, Y. Kanno
    • Journal Title

      Optimization and Engineering

      Volume: 印刷中 Issue: 4 Pages: 439-461

    • DOI

      10.1007/s11081-015-9276-z

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A NOTE ON FORMULATIONS OF ROBUST COMPLIANCE OPTIMIZATION UNDER UNCERTAIN LOADS2015

    • Author(s)
      Y. Kanno
    • Journal Title

      Journal of Structural and Construction Engineering (Transactions of AIJ)

      Volume: 80 Issue: 710 Pages: 601-607

    • DOI

      10.3130/aijs.80.601

    • NAID

      130005069394

    • ISSN
      1340-4202, 1881-8153
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A semidefinite programming approach to robust truss topology optimization under uncertainty in locations of nodes2015

    • Author(s)
      D. Hashimoto, Y. Kanno
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 51 Issue: 2 Pages: 439-461

    • DOI

      10.1007/s00158-014-1146-3

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 2次錐計画の構造力学への応用2014

    • Author(s)
      寒野 善博
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 59 Pages: 725-731

    • Related Report
      2014 Research-status Report
  • [Presentation] DCアルゴリズムを用いたトラス構造のロバスト最適設計法2018

    • Author(s)
      寒野 善博
    • Organizer
      日本オペレーションズ・リサーチ学会春季研究発表会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Robust truss topology optimization under uncertain loads by using penalty concave-convex procedure2017

    • Author(s)
      Y. Kanno
    • Organizer
      The 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 混合整数2次錐計画による自重を考慮したトラス構造の位相最適化手法2017

    • Author(s)
      寒野 善博,山田 裕通
    • Organizer
      2017年度日本建築学会大会学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 柱の消失を考慮した平面骨組の部材断面最適化2017

    • Author(s)
      星野 耀,藤田 慎之輔,寒野 善博
    • Organizer
      第64回理論応用力学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 柱の消失を考慮した骨組構造の部材断面の最適設計2017

    • Author(s)
      星野 耀,藤田 慎之輔,寒野 善博
    • Organizer
      2017年度日本建築学会大会学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 大規模トラスの弾塑性解析に対する加速近接勾配法2016

    • Author(s)
      寒野 善博
    • Organizer
      第12回最適化シンポジウム (OPTIS 2016)
    • Place of Presentation
      北海道大学学術交流会館(北海道札幌市)
    • Year and Date
      2016-12-06
    • Related Report
      2016 Research-status Report
  • [Presentation] Accelerated proximal gradient method for equilibrium analysis of elastoplastic spatial truss structures2016

    • Author(s)
      Y. Kanno
    • Organizer
      International Association for Shell and Spatial Structures (IASS) Annual Symposium: Spatial Structures in the 21st Century
    • Place of Presentation
      Ito Hall(東京都文京区)
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Redundancy optimization of trusses against uncertainty in structural damage2016

    • Author(s)
      Y. Kanno
    • Organizer
      EUROMECH Colloquium 584: Multi-Uncertainty and Multi-Scale Methods and Related Applications
    • Place of Presentation
      Porto (Portugal)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] A semidefinite programming approach to static shakedown analysis with von Mises yield criterion and ellipsoidal load domain2016

    • Author(s)
      T. Yamaguchi, Y. Kanno
    • Organizer
      Emerging Trends in Applied Mathematics and Mechanics (ETAMM 2016)
    • Place of Presentation
      Perpignan (France)
    • Year and Date
      2016-05-30
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mixed-integer programming approaches to topology optimization of finite-dimensional structures2016

    • Author(s)
      Y. Kanno
    • Organizer
      The Asian Congress of Structural and Multidisciplinary Optimization 2016 (ACSMO 2016)
    • Place of Presentation
      長崎ブリックホール(長崎県長崎市)
    • Year and Date
      2016-05-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] On multiplicity of eigenvalues in robust compliance optimization under uncertain loads2015

    • Author(s)
      Y. Kanno
    • Organizer
      The 3rd International Conference on Materials and Reliability (ICMR-2015)
    • Place of Presentation
      Jeju (Korea)
    • Year and Date
      2015-11-23
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 混合整数2次錐計画を用いたトラス構造の最適設計法2015

    • Author(s)
      寒野 善博
    • Organizer
      第27回RAMPシンポジウム(日本オペレーションズ・リサーチ学会)
    • Place of Presentation
      浜松
    • Year and Date
      2015-10-15
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Design of periodic frame structures with negative thermal expansion via mixed integer programming2015

    • Author(s)
      Y. Kanno
    • Organizer
      The 3rd International Workshops on Advances in Computational Mechanics (IWACOM III)
    • Place of Presentation
      東京
    • Year and Date
      2015-10-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Truss topology optimization under constraints on number of different design variables2015

    • Author(s)
      Y. Kanno
    • Organizer
      The 11th World Congress of Structural and Multidisciplinary Optimization (WCSMO11)
    • Place of Presentation
      Sydney (Australia)
    • Year and Date
      2015-07-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 混合整数2次錐計画を用いたトラスの離散最適化法2014

    • Author(s)
      寒野 善博
    • Organizer
      第11回最適化シンポジウム (OPTIS 2014)
    • Place of Presentation
      金沢
    • Year and Date
      2014-12-12 – 2014-12-13
    • Related Report
      2014 Research-status Report
  • [Presentation] 幾何学的な不確実性を考慮したトラスのロバスト最適設計法2014

    • Author(s)
      橋本 大樹,寒野 善博
    • Organizer
      第63回理論応用力学講演会
    • Place of Presentation
      東京
    • Year and Date
      2014-09-26 – 2014-09-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Robust truss topology optimization under geometric uncertainties via semidefinite programming2014

    • Author(s)
      D. Hashimoto, Y. Kanno
    • Organizer
      The 8th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM8)
    • Place of Presentation
      Gyeongju (Korea)
    • Year and Date
      2014-05-25 – 2014-05-29
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2019-03-29  

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