Basic mathematical form of Michell structure

Michell structure is well known among tensegrity structures due to its optimization form and minimum mass of the structure. Michell had adopted this idea from the results of James C Maxwell's research on truss design. This paper presents the basic mathematical model of Michell structure based o...

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Autores principales:	Khushak Sanaullah, Luo Ani, Basit Chandio Muhammad, Raza Asif
Formato:	article
Lenguaje:	EN
Publicado:	Institut za istrazivanja i projektovanja u privredi 2021
Materias:	force density mathematical form michell structure minimal mass tensegrity structure Technology T Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/a6df87210b9d4db39b2268bf20c00255
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id	oai:doaj.org-article:a6df87210b9d4db39b2268bf20c00255
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spelling	oai:doaj.org-article:a6df87210b9d4db39b2268bf20c002552021-12-05T21:23:07ZBasic mathematical form of Michell structure1451-41171821-319710.5937/jaes0-27675https://doaj.org/article/a6df87210b9d4db39b2268bf20c002552021-01-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/1451-4117/2021/1451-41172102551K.pdfhttps://doaj.org/toc/1451-4117https://doaj.org/toc/1821-3197Michell structure is well known among tensegrity structures due to its optimization form and minimum mass of the structure. Michell had adopted this idea from the results of James C Maxwell's research on truss design. This paper presents the basic mathematical model of Michell structure based on complexity order q=2 in the two-dimensional coordinate system. This mathematical model imparts the analysis of all nodes and all members of Michell structure and investigates their position to construct a stable Michell structure. This basic mathematical model of Michell structure of complexity order q=2 can be used as a foundation to develop the Michell structure of high complexity orders. Furthermore, the force density in each member of the structure has been studied. An expression to calculate the minimum mass of structure has been defined at the end of this paper, which is the most important factor to construct any kind of tensegrity structure.Khushak SanaullahLuo AniBasit Chandio MuhammadRaza AsifInstitut za istrazivanja i projektovanja u privrediarticleforce densitymathematical formmichell structureminimal masstensegrity structureTechnologyTEngineering (General). Civil engineering (General)TA1-2040ENIstrazivanja i projektovanja za privredu, Vol 19, Iss 2, Pp 551-554 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	force density mathematical form michell structure minimal mass tensegrity structure Technology T Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	force density mathematical form michell structure minimal mass tensegrity structure Technology T Engineering (General). Civil engineering (General) TA1-2040 Khushak Sanaullah Luo Ani Basit Chandio Muhammad Raza Asif Basic mathematical form of Michell structure
description	Michell structure is well known among tensegrity structures due to its optimization form and minimum mass of the structure. Michell had adopted this idea from the results of James C Maxwell's research on truss design. This paper presents the basic mathematical model of Michell structure based on complexity order q=2 in the two-dimensional coordinate system. This mathematical model imparts the analysis of all nodes and all members of Michell structure and investigates their position to construct a stable Michell structure. This basic mathematical model of Michell structure of complexity order q=2 can be used as a foundation to develop the Michell structure of high complexity orders. Furthermore, the force density in each member of the structure has been studied. An expression to calculate the minimum mass of structure has been defined at the end of this paper, which is the most important factor to construct any kind of tensegrity structure.
format	article
author	Khushak Sanaullah Luo Ani Basit Chandio Muhammad Raza Asif
author_facet	Khushak Sanaullah Luo Ani Basit Chandio Muhammad Raza Asif
author_sort	Khushak Sanaullah
title	Basic mathematical form of Michell structure
title_short	Basic mathematical form of Michell structure
title_full	Basic mathematical form of Michell structure
title_fullStr	Basic mathematical form of Michell structure
title_full_unstemmed	Basic mathematical form of Michell structure
title_sort	basic mathematical form of michell structure
publisher	Institut za istrazivanja i projektovanja u privredi
publishDate	2021
url	https://doaj.org/article/a6df87210b9d4db39b2268bf20c00255
work_keys_str_mv	AT khushaksanaullah basicmathematicalformofmichellstructure AT luoani basicmathematicalformofmichellstructure AT basitchandiomuhammad basicmathematicalformofmichellstructure AT razaasif basicmathematicalformofmichellstructure
_version_	1718371021188235264

Basic mathematical form of Michell structure

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