Study on Combinatorial Characteristics of Super-stability of Tensegrity Structures

2017 Fiscal Year Final Research Report

• Project/Area Number: 15KT0109
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 特設分野
• Research Field: Mathematical Sciences in Search of New Cooperation
• Research Institution: Nagoya 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
• Keywords: テンセグリティ / 安定性 / 特徴付け / super-stability / 対称性

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.

Free Research Field

建築構造