Analytical definitions of connectivity, incidence and node matrices for t-struts tensegrity prisms

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-03-30 DOI:10.1016/j.mechrescom.2024.104271

Victor A.S.M. Paiva , Paulo R.G. Kurka , Jaime H. Izuka

引用次数: 0

Abstract

Regular tensegrity prism modules are widely used by researchers. Numerous research articles combine them to form grids and towers under various assembly strategies. Most of them define connectivity and node matrices that satisfy their structures as a whole, but a general definition for the basic modules has not been formally reported. This paper formalizes sets of definitions for the connectivity, incidence, and node matrices that are valid for any tensegrity prism formed by four struts or more. The definitions are based on geometry and provide simple and general formulations by applying floor and ceiling operators. Both clockwise and counterclockwise rotated modules are covered.

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t-struts 张弦棱柱体连通性、入射和节点矩阵的分析定义

研究人员广泛使用规则张拉实体棱柱模块。大量研究文章根据不同的组装策略将它们组合成网格和塔。其中大多数文章定义了满足其整体结构的连通性和节点矩阵，但基本模块的一般定义尚未正式报道。本文正式定义了几组连通性、入射角和节点矩阵，这些定义对任何由四根或更多支柱组成的张拉实体棱柱体都有效。这些定义以几何为基础，通过应用地板和天花板算子提供了简单而通用的公式。顺时针和逆时针旋转模块都包括在内。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.