• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Application of generalized inverse matrix to the analysis of foldable faceted structures

Research Project

Project/Area Number 25820275
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Building structures/Materials
Research InstitutionGifu National College of Technology

Principal Investigator

WATANABE Naohiko  岐阜工業高等専門学校, その他部局等, 助教 (50550034)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords剛体折紙 / 一般逆行列 / 制約条件付最適化 / 特異点 / 有限剛体変位 / 降伏線 / 不安定トラス / 剛体折り / 不安定 / 降伏線理論
Outline of Final Research Achievements

In this study, through the application of the analysis using a generalized inverse matrix, whose validity has been confirmed for unstable linkage models, to a rigid origami model that is composed of panels and hinges, we investigated the characteristics of a rigid origami model at a singular state, and showed an example of the application of rigid-foldability condition to structural analysis.
At first, for the compressive strength calculation for a square pipe as an example, we presented a way of applying rigid-foldability condition to yield line analysis. Next, for a singular state of a rigid origami model, we formulated the constraint condition in consideration of high order term and validated with some crease patterns.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • Research Products

    (9 results)

All 2015 2014 2013

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (8 results)

  • [Journal Article] Singular State of Rigid Origami Model2015

    • Author(s)
      Watanabe Naohiko
    • Journal Title

      Proceedings of 2015 International Association of Shell and Spatial structures

      Volume: CD-ROM

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] 高次項を考慮した剛体折紙の畳込み経路解析2015

    • Author(s)
      渡邉尚彦
    • Organizer
      応用数理学会2015年度春季連合発表会
    • Place of Presentation
      東京
    • Year and Date
      2015-03-06
    • Related Report
      2014 Annual Research Report
  • [Presentation] 剛体折紙の畳込み経路における特異状態2014

    • Author(s)
      渡邉尚彦
    • Organizer
      形の科学会シンポジウム
    • Place of Presentation
      佐賀
    • Year and Date
      2014-11-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 制約条件付き最適化問題としての畳込み経路解析2014

    • Author(s)
      渡邉尚彦
    • Organizer
      応用数理学会2014年度年会
    • Place of Presentation
      東京
    • Year and Date
      2014-09-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] Application of Rigid-Foldability Condition to Yield Line Analysis2014

    • Author(s)
      渡邉尚彦
    • Organizer
      6OSME(The 6th International Meeting on Origami Science, Mathematics and Education)
    • Place of Presentation
      東京
    • Year and Date
      2014-08-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] 制約条件付最適化問題としての畳み込み経路解析2014

    • Author(s)
      渡邉尚彦
    • Organizer
      第16回折紙の科学数学教育研究集会
    • Place of Presentation
      東京
    • Year and Date
      2014-06-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Application of rigid-foldability condition to yield-line analysis2014

    • Author(s)
      Watanabe Naohiko
    • Organizer
      The 6th International Meeting on Origami in Science, Mathematics and Education
    • Place of Presentation
      東京大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 四元数による剛体折り表現2013

    • Author(s)
      渡邉尚彦
    • Organizer
      第14回折紙の科学・数学・教育研究集会(日本折紙学会)
    • Place of Presentation
      東京都文京区JOASホール
    • Related Report
      2013 Research-status Report
  • [Presentation] 剛体可折条件の降伏線解法への適用2013

    • Author(s)
      渡邉尚彦
    • Organizer
      第15回折紙の科学・数学・教育研究集会(日本折紙学会)
    • Place of Presentation
      東京都文京区JOASホール
    • Related Report
      2013 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi