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Development of nonsmooth mechanics approach to analysis and design of strongly nonlinear structures

Research Project

Project/Area Number 23560663
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

YOSHIHIRO Kanno  東京大学, 情報理工学(系)研究科, 准教授 (10378812)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords接触問題 / 弾塑性解析 / 半正定値計画 / 凸解析 / 摩擦 / 張力構造 / 整数計画 / 負のポアソン比 / 負の熱膨張率 / 弾塑性 / 凸最適化 / 弾塑性問題 / 凸最適化問題
Outline of Final Research Achievements

Nonsmooth mechanism is methodology to deal with various mechanical behaviors of structures without resorting to approximation or trial-and-error methods. Interests of nonsmooth mechanics include elastoplastic problems, contact mechanics, friction, crack, masonry structures, wear, membranes, etc. In this study we attempted to understand various nonlinear problems in structural engineering within the framework of nonsmooth mechanics, and proposed efficient algorithms for those problems. Moreover, based on such modeling, we proposed some new design methods for structures with unusual functions, such as a frame structure with the negative Poisson's ratio.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (26 results)

All 2015 2014 2013 2012 2011

All Journal Article (11 results) (of which Peer Reviewed: 11 results,  Acknowledgement Compliant: 1 results) Presentation (15 results)

  • [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
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Linear programming approach to design of spatial link mechanism with partially rigid joints2014

    • Author(s)
      M. Ohsaki, Y. Kanno, S. Tsuda
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 50 Issue: 6 Pages: 945-956

    • DOI

      10.1007/s00158-014-1094-y

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A mixed integer programming approach to designing periodic frame structures with negative Poisson's ratio2014

    • Author(s)
      R. Kureta and Y. Kanno
    • Journal Title

      Optimization and Engineering

      Volume: 印刷中 Issue: 3 Pages: 773-800

    • DOI

      10.1007/s11081-013-9225-7

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Worst-case load in plastic limit analysis of frame structures2013

    • Author(s)
      Y. Kanno
    • Journal Title

      Journal of Mechanics of Materials and Structures

      Volume: 8 Issue: 8-10 Pages: 415-439

    • DOI

      10.2140/jomms.2013.8.415

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Damper placement optimization in a shear building model with discrete design variables: A mixed-integer second-order cone programming approach2013

    • Author(s)
      Y. Kanno
    • Journal Title

      Earthquake Engineering and Structural Dynamics

      Volume: 42 Issue: 11 Pages: 1657-1676

    • DOI

      10.1002/eqe.2292

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exploring new tensegrity structures via mixed integer programming2013

    • Author(s)
      Y. Kanno
    • Journal Title

      Structural and Multidisciplinary Optimization

      Volume: 印刷中 Issue: 1 Pages: 95-114

    • DOI

      10.1007/s00158-012-0881-6

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Second-order cone programming with warm start for elastoplastic analysis with von Mises yield criterion2012

    • Author(s)
      K. Yonekura and Y. Kanno
    • Journal Title

      Optimization and Engineering

      Volume: 13 Issue: 2 Pages: 181-218

    • DOI

      10.1007/s11081-011-9144-4

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Worst scenario detection in limit analysis of trusses against deficiency of structural components2012

    • Author(s)
      Y. Kanno
    • Journal Title

      Engineering Structures

      Volume: 42 Pages: 33-42

    • DOI

      10.1016/j.engstruct.2012.04.012

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach2012

    • Author(s)
      Y. Kanno
    • Journal Title

      Optimization and Engineering

      Volume: to appear

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Topology optimization of tensegrity structures under self-weight loads2012

    • Author(s)
      Y. Kanno
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: to appear

    • NAID

      110009456848

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] A non-interior implicit smoothing approach to complementarity problems for frictionless contacts2011

    • Author(s)
      Y. Kanno and M. Ohsaki
    • Journal Title

      Computer Methods in Applied Mechanics and Engineering

      Volume: 200 Pages: 1176-1185

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] A mixed-integer programming approach to design of periodic structures with negative thermal expansion2014

    • Author(s)
      M. Hirota, Y. Kanno
    • Organizer
      The 4th International Conference on Engineering Optimization (EngOpt 2014)
    • Place of Presentation
      Lisbon (Portugal)
    • Year and Date
      2014-09-08 – 2014-09-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] 負のポアソン比をもつ周期的な骨組構造物の最適設計法2014

    • Author(s)
      暮田 留依,寒野 善博
    • Organizer
      数学協働プログラムワークショップ「数理科学の物質・材料科学への応用」・日本応用数理学会2014年度年会(共催)
    • Place of Presentation
      東京
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] Exploring frame structures with negative Poisson's ratio via mixed integer programming2014

    • Author(s)
      R. Kureta, Y. Kanno
    • Organizer
      Joint Organization of 11th World Congress on Computational Mechanics, 5th European Conference on Computational Mechanics, and 6th European Conference on Computational Fluid Dynamics
    • Place of Presentation
      Barcelona (Spain)
    • Year and Date
      2014-07-20 – 2014-07-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] Linear programming approach to design of spatial link mechanisms2014

    • Author(s)
      M. Ohsaki, Y. Kanno, S. Tsuda
    • 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 Annual Research Report
  • [Presentation] Generating asymmetric tensegrity structures via truss topology optimization2013

    • Author(s)
      Y. Kanno
    • Organizer
      IASS Annual Symposium - Beyond the Limits of Man
    • Place of Presentation
      Wroclaw (Poland)
    • Related Report
      2013 Research-status Report
  • [Presentation] Discrete optimization of damper placement in a shear building via mixed integer programming2013

    • Author(s)
      Y. Kanno
    • Organizer
      International Conference on Vibration Problems (ICOVP 2013)
    • Place of Presentation
      Lisbon (Portugal)
    • Related Report
      2013 Research-status Report
  • [Presentation] 整数計画を用いたせん断型構造物モデルにおける粘性ダンパーの最適配置法2013

    • Author(s)
      寒野 善博
    • Organizer
      日本建築学会大会学術講演会
    • Place of Presentation
      北海道大学(北海道札幌市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 建築構造物における粘性ダンパーの最適配置問題に対する整数計画法2013

    • Author(s)
      寒野 善博
    • Organizer
      第26回計算力学講演会 (CMD2013)
    • Place of Presentation
      佐賀大学(佐賀県佐賀市)
    • Related Report
      2013 Research-status Report
  • [Presentation] Worst-scenario of deficiency of structural elements in plastic limit analysis2012

    • Author(s)
      Y. Kanno
    • Organizer
      Asian-Pacific Symposium on Structural Reliability and its Applications (APSSRA 2012)
    • Place of Presentation
      Singapore (Singapore)
    • Related Report
      2012 Research-status Report
  • [Presentation] Design of tensegrity structures by using mixed integer programming2012

    • Author(s)
      Y. Kanno
    • Organizer
      The 7th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM7)
    • Place of Presentation
      Huangshan (China)
    • Related Report
      2012 Research-status Report
  • [Presentation] Warm-start strategy in implicit reformulation method for frictionless contact problems2012

    • Author(s)
      Y. Kanno and M. Ohsaki
    • Organizer
      The 8th European Solid Mechanics Conference (ESMC 2012)
    • Place of Presentation
      Graz (Austria)
    • Related Report
      2012 Research-status Report
  • [Presentation] 混合整数計画を用いたテンセグリティ構造の最適設計法2012

    • Author(s)
      寒野 善博
    • Organizer
      2012年度日本建築学会大会
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Related Report
      2012 Research-status Report
  • [Presentation] 混合整数計画を用いた構造物の冗長性の評価法2012

    • Author(s)
      寒野 善博
    • Organizer
      第10回最適化シンポジウム (OPTIS 2012)
    • Place of Presentation
      神戸市産業振興センター(兵庫県神戸市)
    • Related Report
      2012 Research-status Report
  • [Presentation] Topology optimization of tensegrity structures based on nonsmooth mechanics2011

    • Author(s)
      Y. Kanno
    • Organizer
      5th International Conference on Advanced Computational Methods in Engineering (ACOMEN 2011)
    • Place of Presentation
      Li'ege, Belgium
    • Related Report
      2011 Research-status Report
  • [Presentation] Topology optimization of tensegrity structures via mixed integer programming2011

    • Author(s)
      Y. Kanno
    • Organizer
      9th World Congress of Structural and Multidisciplinary Optimization (WCSMO9)
    • Place of Presentation
      Shizuoka, Japan
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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