Use of origami skill and symmetry-breaking analysis of hierarchy periodic structures with visualization

• Project/Area Number: 22656027
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Single-year Grants
• Research Field: Engineering fundamentals
• Research Institution: Hiroshima University
• Principal Investigator: ARIO Ichiro 広島大学, 大学院・工学研究院, 助教 (50249827)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,550,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥450,000); Fiscal Year 2012: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000); Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2010: ¥1,600,000 (Direct Cost: ¥1,600,000)
• Keywords: 周期階層構造 / 高次対称性 / 分岐解析 / 超並列計算 / 構造不安定 / 有限要素法 / 折り / 自己組織化

Research Abstract

This work has applied to the verification of the parallel computing and resolution of nonlinear mechanics for the various structures with periodic symmetry through we suppose bifurcation point for a folding structure based on the multi-folding and multi-bifurcation theory with the critical behavior from micro-materials to macro natures widely. I have obtained the mathematical law to decompose to eigen-orthogonal spaces which are higher and super-parallelized computing using the suitable sources of group theory for the branching models in FEM. It is successful to get several results for the models with high order symmetry with multiple degrees-of-freedom also and it has been submitting to computing mechanics.

Research Products

• [Journal Article] Multiple Duffing Oscillation in a Folding Structure with Hill-top Bifurcation Euromech Colloquium 541 (2013)
  • Author(s): Ichiro Ario
  • Journal Title: New Advances in the Nonlinear Dynamics and Contorol of Composite for Smart Engineering Design Volume: 541
  • Peer Reviewed
• [Journal Article] Multiple Duffing Problem in a Folding Structure with Hill-top Bifurcation, Chaos, Solitons and Fractals (2013)
  • Author(s): Ichiro Ario
  • Journal Title: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena Volume: 51 Pages: 52-63
  • URL: http://dx.DOI:.org/10.1016/j.chaos.2013.02.012
  • Peer Reviewed
• [Journal Article] Multiple Duffing Problem in a Folding Structure with Hill-top Bifurcation (2013)
  • Author(s): Ichiro Ario
  • Journal Title: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena Volume: 51 Pages: 52-63
  • DOI: 10.1016/j.chaos.2013.02.012
  • Peer Reviewed
• [Journal Article] Multiple Duffing Oscillation in a Folding Structure with Hill-top Bifurcation (2013)
  • Author(s): Ichiro Ario
  • Journal Title: Euromech Colloquium 541, New Advances in the Nonlinear Dynamics and Contorol of Composite for Smart Engineering Design Volume: 541
  • Peer Reviewed
• [Journal Article] Hierarchical Structural Analysis for the Multi-Folding Structures with Hill-Top Bifurcation Points (2012)
  • Author(s): Ichiro Ario
  • Journal Title: Procedia IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical Volume: 5 Pages: 88-98
  • URL: http://dx.DOI:.org/10.1016/j.piutam.2012.06.012
  • Peer Reviewed
• [Journal Article] Hill-top bifurcation analysis for a foldable structure with imperfection (2012)
  • Author(s): Ichiro ARIO
  • Journal Title: Proc. of the 23rd International Congress of Theoretical and Applied Mechanics (ICTAM2012) Volume: 23
  • Peer Reviewed
• [Journal Article] Hill-top bifurcation analysis for the multi-folding structures with local symmetry-breakings (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc. of European Nonlinear Oscillations Conferences Volume: 7 Pages: 1-6
  • Peer Reviewed
• [Journal Article] Multiple Duffing Problem for a Symmetric Folding Structure with Hill-top type of Symmetry-breaking (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc. of International Symposium RA'11 on Rare Attractors and Rare Phenomena in Nonlinear Dynamics Volume: 2 Pages: 43-47
  • Peer Reviewed
• [Journal Article] Hierarchical structural analysis for the multi-folding structures with hill-top bifurcation points (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc. of IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical, International Union of Theoretical and Applied Mechanics Pages: 48-49
  • Peer Reviewed
• [Journal Article] Hill-top bifurcation analysis for the multi-folding structures with local symmetry-breakings (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc.of European Nonlinear Oscillations Conferences Volume: 7(CD) Pages: 1-6
  • Peer Reviewed
• [Journal Article] Multiple Duffing Problem for a Symmetric Folding Structure with Hill-top type of Symmetry-breaking (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc.of International Symposium RA'11 on Rare Attractors and Rare Phenomena in Nonlinear Dynamics Volume: 2 Pages: 43-47
  • Peer Reviewed
• [Journal Article] Hierarchical structural analysis for the multi-folding structures with hill-top bifurcation points (2011)
  • Author(s): Ichiro Ario
  • Journal Title: Proc.of IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical, International Union of Theoretical and Applied Mechanics Volume: (後刷) Pages: 48-49
  • Peer Reviewed
• [Journal Article] Multi-Folding Behavior of a Tree Structure (2010)
  • Author(s): I. ARIO, A. Watson, M. Nakazawa
  • Journal Title: The proceedings of the 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics Volume: 9
  • Peer Reviewed
• [Journal Article] Extended and Multiple Duffing Oscillation Model in Multi-folding System with multiple bifurcation points (2010)
  • Author(s): A.Watson and I. Ario
  • Journal Title: Proc. of Dynamics Days Europe Volume: 15 Pages: 104-104
  • Peer Reviewed
• [Journal Article] Non-linear dynamic behaviour of multi-folding microstructure systems based on origami skill (2010)
  • Author(s): I. Ario, M. Nakazawa
  • Journal Title: International Journal of Non-Linear Mechanics Volume: 45 Pages: 337-347
  • URL: http://dx.DOI:.org/10.1016/j.ijnonlinmec.2009.11.010
  • Peer Reviewed
• [Journal Article] Multi-Folding Behavior of a Tree Structure (2010)
  • Author(s): I.ARIO, A.Watson, M.Nakazawa
  • Journal Title: The proceedings of the 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics Volume: 9(On CD-ROM)
  • Peer Reviewed
• [Journal Article] Extended and Multiple Duffing Oscillation Model in Multi-folding System with multiple bifurcation points (2010)
  • Author(s): A.Watson, I.Ario
  • Journal Title: Proc.of Dynamics Days Europe Volume: 15 Pages: 104-104
  • Peer Reviewed
• [Presentation] 衝撃安全性を考慮した座屈制御法と力学的対称性破れの定量化 (2012)
  • Author(s): 有尾一郎
  • Organizer: 広島大学新技術説明会
  • Place of Presentation: 広島市
  • Year and Date: 2012-08-01
• [Presentation] 周期材料構造系の隠れた対称性の発見法と超並列化有限要素法 (2012)
  • Author(s): 有尾一郎
  • Organizer: 土木学会中国支部学術研究講演会
  • Place of Presentation: 呉工業高等専門学校
  • Year and Date: 2012-06-09
• [Presentation] 対称性喪失レベルの定量的把握方法及び定量的把握システム (2012)
  • Author(s): 有尾一郎
  • Organizer: 広島大学 新技術説明会
  • Place of Presentation: JST東京別館ホール
  • Year and Date: 2012-05-18
• [Presentation] Hill-top bifurcation analysis for a foldable structure with imperfection (2012)
  • Author(s): Ichiro ARIO
  • Organizer: Proc. of the 23rd International Congress of Theoretical and Applied Mechanics (ICTAM2012)
  • Place of Presentation: 北京
• [Presentation] Bifurcation analysis with symmetry breaking using origami skills in civil engineering (2011)
  • Author(s): Ichiro Ario
  • Organizer: Proc. of International Conference on Civil and Environmental Engineering
  • Place of Presentation: Taiwan
  • Year and Date: 2011-11-15
• [Presentation] Bifurcation analysis with symmetry breaking using origami skills in civil engineering (2011)
  • Author(s): Ichiro Ario
  • Organizer: Proc.of International Conference on Civil and Environmental Engineering
  • Place of Presentation: Taiwan
  • Year and Date: 2011-11-15
• [Presentation] Multi-Folding Behavior of a Tree Structure (2010)
  • Author(s): I. ARIO
  • Organizer: World Congress on Computational Mechanics
  • Place of Presentation: シドニー
  • Year and Date: 2010-07-21
• [Presentation] Multi-Folding Behavior of a Tree Structure (2010)
  • Author(s): I.ARIO
  • Organizer: World Congress on Computational Mechanics
  • Place of Presentation: 豪州(シドニー)
  • Year and Date: 2010-07-21
• [Presentation] 対称性喪失レベルの定量的把握方法及び定量的把握システム
  • Author(s): 有尾一郎
  • Organizer: 広島大学 新技術説明会
  • Place of Presentation: ＪＳＴ東京別館ホール
  • Invited
• [Patent(Industrial Property Rights)] 対称性喪失レベルの定量的把握方法及び定量的把握装置 (2012)
  • Inventor(s): 有尾一郎
  • Industrial Property Rights Holder: 国立大学法人広島大学
  • Industrial Property Number: 2012-002363
  • Filing Date: 2012-01-24