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

使用折纸技巧和可视化层次周期结构的对称破缺分析

• 批准号: 22656027
• 负责人: ARIO Ichiro
• 金额: $ 2.27万
• 依托单位: Hiroshima University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22656027/
• 关键词: 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

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.

基于多重折叠和多重分叉理论，通过对折叠结构分叉点的假设，验证了具有周期对称性的各种结构的非线性力学并行计算和求解方法。利用群论中的适当资源，得到了有限元分支模型分解到特征正交空间的数学规律，这些特征正交空间是更高级的超并行计算。对于高阶对称多自由度模型也得到了一些成功的结果，并已提交给计算力学。

项目成果

Multiple Duffing Problem in a Folding Structure with Hill-top Bifurcation, Chaos, Solitons and Fractals

具有山顶分叉、混沌、孤子和分形的折叠结构中的多重达芬问题

• 发表时间: 2013
• 期刊: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
• 作者: 安西宏晃;松井南帆人;阪上隆英;久保司郎;井南帆人,安西宏晃,阪上隆英;尾方成信;尾方成信;田中智也，森口彰久，阪上隆英;田中智也，森口彰久，阪上隆英;Ichiro Ario;Ichiro Ario
• 通讯作者: Ichiro Ario

Bifurcation analysis with symmetry breaking using origami skills in civil engineering

使用土木工程中的折纸技巧进行对称破缺的分叉分析

• 发表时间: 2011
• 作者: I.ARIO;A.Watson;M.Nakazawa;Ichiro ARIO;Ichiro Ario
• 通讯作者: Ichiro Ario

Multi-Folding Behavior of a Tree Structure

树结构的多重折叠行为

• 发表时间: 2010
• 期刊: The proceedings of the 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics
• 作者: I. ARIO;A. Watson;M. Nakazawa
• 通讯作者: M. Nakazawa

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

用于定量理解对称性损失水平的方法和系统

• 作者: I.ARIO;A.Watson;M.Nakazawa;Ichiro ARIO;Ichiro Ario;I.ARIO;有尾一郎
• 通讯作者: 有尾一郎

Non-linear dynamic behaviour of multi-folding microstructure systems based on origami skill

• DOI: 10.1016/j.ijnonlinmec.2009.11.010
• 发表时间: 2010-05
• 期刊: International Journal of Non-linear Mechanics
• 影响因子: 3.2
• 作者: I. Ario;M. Nakazawa