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Study on Combinatorial Characteristics of Super-stability of Tensegrity Structures

Research Project

Project/Area Number 15KT0109
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionNagoya City University

Principal Investigator

Zhang Jingyao  名古屋市立大学, 大学院芸術工学研究科, 准教授 (50546736)

Co-Investigator(Kenkyū-buntansha) 寒野 善博  東京大学, 大学院情報理工学系研究科, 准教授 (10378812)
谷川 眞一  東京大学, 大学院情報理工学系研究科, 准教授 (30623540)
Project Period (FY) 2015-07-10 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsテンセグリティ / 安定性 / 特徴付け / super-stability / 対称性 / 自己釣合い / 位相最適化 / 組合せ的特徴付け
Outline of Final Research Achievements

Tenserity is composed of struts in compression and cables in tension. A tensegrity can maintain its stability with less members than a conventional truss. The special properties of tensegrities in mechanics as well as in mathematics have been separately studied in structural mechanics and applied mechanics. And they have found applications in many different disciplines nowadays. In this study, we have clarified the super-stability conditions for some tensegrities with high level of (polyhedral) symmetries; moreover, we have developed some techniques making use of topology optimization to find the possible topology guaranteeing super-stability of a tensegrity; furthermore, we have tried to summarize these results in a more general framework based on combinatorial rigidity theory.

Report

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

    (30 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (2 results) Journal Article (10 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 9 results,  Acknowledgement Compliant: 3 results,  Open Access: 2 results) Presentation (17 results) (of which Int'l Joint Research: 9 results,  Invited: 1 results) Remarks (1 results)

  • [Int'l Joint Research] College of Mech. and Elec. Eng./Harbin Engineering University(China)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Eotvos Lorand University(ハンガリー)

    • Related Report
      2016 Research-status Report
  • [Journal Article] New 3-bar prismatic tensegrity units2018

    • Author(s)
      Liu Heping、Zhang Jingyao、Ohsaki Makoto
    • Journal Title

      Composite Structures

      Volume: 184 Pages: 306-313

    • DOI

      10.1016/j.compstruct.2017.09.063

    • NAID

      120006653118

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [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
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フォーストラット星形テンセグリティ構造の多重安定挙動への影響因子に関する考察2017

    • Author(s)
      岡野正暉,張景耀
    • Journal Title

      構造工学論文集

      Volume: 63B Pages: 113-118

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [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
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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] 動的緩和法による複雑なテンセグリティ構造の形状決定法2016

    • Author(s)
      張景耀,大崎純
    • Journal Title

      日本建築学会構造系論文集

      Volume: 81(719) Pages: 71-77

    • NAID

      130005121442

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] The Signed Positive Semidefinite Matrix Completion Problem for Odd-K4 Minor Free Signed Graphs2016

    • Author(s)
      Shin-ichi Tanigawa
    • Journal Title

      arXiv preprint

      Volume: arXiv:1603.08370 Pages: 1-28

    • Related Report
      2015 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 単頂点平坦折の折り畳み方列挙法2016

    • Author(s)
      田口英和,張景耀,岡野正暉
    • Journal Title

      構造工学論文集

      Volume: 62B Pages: 87-92

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Free-form Design of tensegrity structures by combination of non-linear analysis and optimization techniques2015

    • Author(s)
      J.Y. Zhang, M. Ohsaki
    • Journal Title

      Spatial Structures

      Volume: 29(3) Pages: 92-96

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Node-based genetic form-finding of irregular tensegrity structures2015

    • Author(s)
      B.S. Gan, J.Y. Zhang, K.D. Nguyen and E. Nouchi,
    • Journal Title

      Computers and Structures

      Volume: 159 Pages: 92-96

    • DOI

      10.1016/j.compstruc.2015.07.003

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] Free-form design of tensegrity - inspired by Snelson’s works2018

    • Author(s)
      J.Y. Zhang and M. Ohsaki
    • Organizer
      International Association for Shell and Spatial Structures
    • Related Report
      2017 Annual Research 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
      International Association for Shell and Spatial Structures
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [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
    • 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
      日本建築学会
    • Related Report
      2017 Annual Research Report
  • [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
    • Related Report
      2017 Annual Research Report
  • [Presentation] Super-stability of symmetric prismatic tensegrity structures based on group representation theory2016

    • Author(s)
      M. Okano and J.Y. Zhang
    • Organizer
      International Association for Shell and Spatial Structures
    • Place of Presentation
      Tokyo
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [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
    • Place of Presentation
      Tokyo
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Super-Stability of Symmetric Prismatic Tensegrity Structures based on Group Representation Theory2016

    • Author(s)
      Masaki Okano, Jingyao Zhang
    • Organizer
      International Association for Shell and Spatial Structures (IASS)
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-09-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Enumeration of folding patterns of flat-folding structures with single vertex by using branch-and-bound method2016

    • Author(s)
      Jingyao Zhang, Hidekazu Taguchi
    • Organizer
      International Association for Shell and Spatial Structures (IASS)
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-09-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Form0finding of cable-net deployable antenna considering shape constraints2016

    • Author(s)
      Xinyu Wang, Jingyao Zhang, Jianguo Cai, Jian Feng
    • Organizer
      International Association for Shell and Spatial Structures (IASS)
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-09-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 二面体群対称であるフォーストラットMulti-stable Star-shapedテンセグリティ構造の特性に関する考察2016

    • Author(s)
      岡野正暉, 張景耀
    • Organizer
      日本建築学会
    • Place of Presentation
      福岡
    • Year and Date
      2016-08-24
    • Related Report
      2016 Research-status Report
  • [Presentation] 二面体群対称であるフォーストラットMulti-stable Star-shapedテンセグリティ構造の特性に関する考察2016

    • Author(s)
      岡野正暉, 張景耀
    • Organizer
      日本建築学会大会学術講演梗概集(九州)
    • Place of Presentation
      福岡市
    • Year and Date
      2016-08-24
    • Related Report
      2015 Research-status Report
  • [Presentation] Universal rigidity, singularity degree, and metric polytopes of signed graphs.2016

    • Author(s)
      Shinichi Tanigawa
    • Organizer
      ICMS: Geometric rigidity theory and application
    • Place of Presentation
      Edinburgh UK
    • Year and Date
      2016-05-30
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 分枝限定法による単頂点折り紙の平坦折に関する研究2015

    • Author(s)
      田口英和, 張景耀
    • Organizer
      日本建築学会大会学術講演梗概集(関東)
    • Place of Presentation
      神奈川県平塚市
    • Year and Date
      2015-09-04
    • Related Report
      2015 Research-status Report
  • [Presentation] 対称性を利用した角柱状テンセグリティ構造の安定性に関する研究2015

    • Author(s)
      岡野正暉, 張景耀
    • Organizer
      日本建築学会大会学術講演梗概集(関東)
    • Place of Presentation
      神奈川県平塚市
    • Year and Date
      2015-09-04
    • Related Report
      2015 Research-status Report
  • [Presentation] Isogeometric Analysisによる逆懸垂型連続アーチおよび単層ラチスシェルの形態創生 その1 Isogeometric Analysisの概要と逆懸垂型連続アーチの形態創生2015

    • Author(s)
      中井英介, 原田桂吾, 箕輪健一, 張景耀, 小河利行
    • Organizer
      日本建築学会大会学術講演梗概集(関東)
    • Place of Presentation
      神奈川県平塚市
    • Year and Date
      2015-09-04
    • Related Report
      2015 Research-status Report
  • [Presentation] Isogeometric Analysisによる逆懸垂型連続アーチおよび単層ラチスシェルの形態創生 その2 逆懸垂型単層ラチスシェルの形態創生と弾塑性座屈解析2015

    • Author(s)
      原田桂吾, 箕輪健一, 張景耀, 小河利行
    • Organizer
      日本建築学会大会学術講演梗概集(関東)
    • Place of Presentation
      神奈川県平塚市
    • Year and Date
      2015-09-04
    • Related Report
      2015 Research-status Report
  • [Remarks] Tensegrity

    • URL

      http://zhang.aistructure.net/links/tensegritylinks/

    • Related Report
      2016 Research-status Report

URL: 

Published: 2015-07-14   Modified: 2019-03-29  

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