Victor A.S.M. Paiva , Paulo R.G. Kurka , Jaime H. Izuka
{"title":"Analytical definitions of connectivity, incidence and node matrices for t-struts tensegrity prisms","authors":"Victor A.S.M. Paiva , Paulo R.G. Kurka , Jaime H. Izuka","doi":"10.1016/j.mechrescom.2024.104271","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641324000314","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
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.
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.
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