Structural synthesis of plane kinematic chain inversions without detecting isomorphism

<p>A plane kinematic chain inversion refers to a plane kinematic chain with one link fixed (assigned as the ground link). In the creative design of mechanisms, it is important to select proper ground links. The structural synthesis of plane kinematic chain inversions is helpful for improving t...

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Autores principales:	J. Chen, J. Ding, W. Hong, R. Cui
Formato:	article
Lenguaje:	EN
Publicado:	Copernicus Publications 2021
Materias:	Materials of engineering and construction. Mechanics of materials TA401-492
Acceso en línea:	https://doaj.org/article/26f43fbe30d5459c9c805d967ee24906
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spelling	oai:doaj.org-article:26f43fbe30d5459c9c805d967ee249062021-11-30T06:53:25ZStructural synthesis of plane kinematic chain inversions without detecting isomorphism10.5194/ms-12-1061-20212191-91512191-916Xhttps://doaj.org/article/26f43fbe30d5459c9c805d967ee249062021-11-01T00:00:00Zhttps://ms.copernicus.org/articles/12/1061/2021/ms-12-1061-2021.pdfhttps://doaj.org/toc/2191-9151https://doaj.org/toc/2191-916X<p>A plane kinematic chain inversion refers to a plane kinematic chain with one link fixed (assigned as the ground link). In the creative design of mechanisms, it is important to select proper ground links. The structural synthesis of plane kinematic chain inversions is helpful for improving the efficiency of mechanism design. However, the existing structural synthesis methods involve isomorphism detection, which is cumbersome. This paper proposes a simple and efficient structural synthesis method for plane kinematic chain inversions without detecting isomorphism. The fifth power of the adjacency matrix is applied to recognize similar vertices, and non-isomorphic kinematic chain inversions are directly derived according to non-similar vertices. This method is used to automatically synthesize 6-link 1-degree-of-freedom (DOF), 8-link 1-DOF, 8-link 3-DOF, 9-link 2-DOF, 9-link 4-DOF, 10-link 1-DOF, 10-link 3-DOF and 10-link 5-DOF plane kinematic chain inversions. All the synthesis results are consistent with those reported in literature. Our method is also suitable for other kinds of kinematic chains.</p>J. ChenJ. DingW. HongR. CuiCopernicus PublicationsarticleMaterials of engineering and construction. Mechanics of materialsTA401-492ENMechanical Sciences, Vol 12, Pp 1061-1071 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 J. Chen J. Ding W. Hong R. Cui Structural synthesis of plane kinematic chain inversions without detecting isomorphism
description	<p>A plane kinematic chain inversion refers to a plane kinematic chain with one link fixed (assigned as the ground link). In the creative design of mechanisms, it is important to select proper ground links. The structural synthesis of plane kinematic chain inversions is helpful for improving the efficiency of mechanism design. However, the existing structural synthesis methods involve isomorphism detection, which is cumbersome. This paper proposes a simple and efficient structural synthesis method for plane kinematic chain inversions without detecting isomorphism. The fifth power of the adjacency matrix is applied to recognize similar vertices, and non-isomorphic kinematic chain inversions are directly derived according to non-similar vertices. This method is used to automatically synthesize 6-link 1-degree-of-freedom (DOF), 8-link 1-DOF, 8-link 3-DOF, 9-link 2-DOF, 9-link 4-DOF, 10-link 1-DOF, 10-link 3-DOF and 10-link 5-DOF plane kinematic chain inversions. All the synthesis results are consistent with those reported in literature. Our method is also suitable for other kinds of kinematic chains.</p>
format	article
author	J. Chen J. Ding W. Hong R. Cui
author_facet	J. Chen J. Ding W. Hong R. Cui
author_sort	J. Chen
title	Structural synthesis of plane kinematic chain inversions without detecting isomorphism
title_short	Structural synthesis of plane kinematic chain inversions without detecting isomorphism
title_full	Structural synthesis of plane kinematic chain inversions without detecting isomorphism
title_fullStr	Structural synthesis of plane kinematic chain inversions without detecting isomorphism
title_full_unstemmed	Structural synthesis of plane kinematic chain inversions without detecting isomorphism
title_sort	structural synthesis of plane kinematic chain inversions without detecting isomorphism
publisher	Copernicus Publications
publishDate	2021
url	https://doaj.org/article/26f43fbe30d5459c9c805d967ee24906
work_keys_str_mv	AT jchen structuralsynthesisofplanekinematicchaininversionswithoutdetectingisomorphism AT jding structuralsynthesisofplanekinematicchaininversionswithoutdetectingisomorphism AT whong structuralsynthesisofplanekinematicchaininversionswithoutdetectingisomorphism AT rcui structuralsynthesisofplanekinematicchaininversionswithoutdetectingisomorphism
_version_	1718406733195378688

Structural synthesis of plane kinematic chain inversions without detecting isomorphism

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