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

2014 Fiscal Year Final Research Report

• Project/Area Number: 25820275
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Building structures/Materials
• Research Institution: Gifu 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
• 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

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.

Free Research Field

構造工学