Self-equilibrium and super-stability of truncated regular hexahedral and octahedral tensegrity structures

被引：18

作者：

Zhang, J. Y. ^{[1
]}

Ohsaki, M. ^{[2
]}

Tsuura, E. ^{[3
,4
]}

机构：

[1] Nagoya City Univ, Grad Sch Design & Architecture, Nagoya, Aichi, Japan

[2] Kyoto Univ, Dept Architecture & Architectural Engn, Kyoto, Japan

[3] Ristumeikan Univ, Dept Architecture & Urban Design, Kyoto, Japan

[4] Watami Co Ltd, Tokyo, Japan

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2019年 / 161卷

关键词：

Tensegrity; Hexahedral symmetry; Octahedral symmetry; Self-equilibrium; Super-stability; Croup representation theory; Block-diagonalization;

D O I：

10.1016/j.ijsolstr.2018.11.017

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents conditions for self-equilibrium as well as super-stability of the truncated regular hexahedral and octahedral tensegrity structures. Their symmetry can be described by octahedral group in group representation theory, and furthermore, their force density matrix is analytically rewritten in the symmetry-adapted form. The condition for self-equilibrium, in terms of force densities, is found by satisfying the non-degeneracy condition for a tensegrity structure. The condition for super-stability, also in terms of force densities, is further presented by guaranteeing positive semi-definiteness of the force density matrix. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：182 / 192

页数：11

共 22 条

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