Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains

In this paper, a matrix notation is presented to decompose the structure of any planetary gear train (PGT) into its constituted fundamental geared entities (FGEs). The representation of the PGTs by matrices motivates the need for a method for discretizing PGTs into FGEs. This paper proposes a novel...

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Autores principales:	Hamed A. Hussen, Essam L. Esmail
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Computer-aided analysis Graph theory Kinematic analysis Planetary gear trains Topological structure Technology T
Acceso en línea:	https://doaj.org/article/3f1c631583c84341aeaf0f301d94fd41
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id	oai:doaj.org-article:3f1c631583c84341aeaf0f301d94fd41
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spelling	oai:doaj.org-article:3f1c631583c84341aeaf0f301d94fd412021-11-18T04:51:21ZApplication of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains2590-123010.1016/j.rineng.2021.100305https://doaj.org/article/3f1c631583c84341aeaf0f301d94fd412021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2590123021001067https://doaj.org/toc/2590-1230In this paper, a matrix notation is presented to decompose the structure of any planetary gear train (PGT) into its constituted fundamental geared entities (FGEs). The representation of the PGTs by matrices motivates the need for a method for discretizing PGTs into FGEs. This paper proposes a novel method for the structural decomposition of PGTs with the aim of dividing the structure into several independent substructures with single DOF. This is accomplished by determining the transfer vertices and second level vertices in matrix form. Although there are a large number of existing analysis methods, there is no method yet that entirely performs the kinematic analysis of multi-planet gear trains automatically in the computer in a simple way. Understanding the topological properties of existing PGTs is very useful for benchmark synthesis to explore all possible designs that are based on existing ones. Also, any type of FGEs with any number of links can be investigated without knowing the exact size of gears.Hamed A. HussenEssam L. EsmailElsevierarticleComputer-aided analysisGraph theoryKinematic analysisPlanetary gear trainsTopological structureTechnologyTENResults in Engineering, Vol 12, Iss , Pp 100305- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Computer-aided analysis Graph theory Kinematic analysis Planetary gear trains Topological structure Technology T
spellingShingle	Computer-aided analysis Graph theory Kinematic analysis Planetary gear trains Topological structure Technology T Hamed A. Hussen Essam L. Esmail Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
description	In this paper, a matrix notation is presented to decompose the structure of any planetary gear train (PGT) into its constituted fundamental geared entities (FGEs). The representation of the PGTs by matrices motivates the need for a method for discretizing PGTs into FGEs. This paper proposes a novel method for the structural decomposition of PGTs with the aim of dividing the structure into several independent substructures with single DOF. This is accomplished by determining the transfer vertices and second level vertices in matrix form. Although there are a large number of existing analysis methods, there is no method yet that entirely performs the kinematic analysis of multi-planet gear trains automatically in the computer in a simple way. Understanding the topological properties of existing PGTs is very useful for benchmark synthesis to explore all possible designs that are based on existing ones. Also, any type of FGEs with any number of links can be investigated without knowing the exact size of gears.
format	article
author	Hamed A. Hussen Essam L. Esmail
author_facet	Hamed A. Hussen Essam L. Esmail
author_sort	Hamed A. Hussen
title	Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
title_short	Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
title_full	Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
title_fullStr	Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
title_full_unstemmed	Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
title_sort	application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/3f1c631583c84341aeaf0f301d94fd41
work_keys_str_mv	AT hamedahussen applicationofincidencematrixtotopologicalstructureandkinematicanalysisofmultiplanetgeartrains AT essamlesmail applicationofincidencematrixtotopologicalstructureandkinematicanalysisofmultiplanetgeartrains
_version_	1718424968306360320

Application of incidence matrix to topological structure and kinematic analysis of multi-planet gear trains

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