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    New Graph Representation for Planetary Gear Trains

    Source: Journal of Mechanical Design:;2018:;volume( 140 ):;issue: 001::page 12303
    Author:
    Yang, Wenjian
    ,
    Ding, Huafeng
    ,
    Zi, Bin
    ,
    Zhang, Dan
    DOI: 10.1115/1.4038303
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Planetary gear trains (PGTs) are widely used in machinery to transmit angular velocity ratios or torque ratios. The graph theory has been proved to be an effective tool to synthesize and analyze PGTs. This paper aims to propose a new graph model, which has some merits relative to the existing ones, to represent the structure of PGTs. First, the rotation graph and canonical rotation graph of PGTs are defined. Then, by considering the edge levels in the rotation graph, the displacement graph and canonical displacement graph are defined. Each displacement graph corresponds to a PGT having the specified functional characteristics. The synthesis of five-link one degree-of-freedom (1DOF) PGTs is used as an example to interpret and demonstrate the applicability of the present graph representation in the synthesis process. The present graph representation can completely avoid the generation of pseudo-isomorphic graphs and can be used in the computer-aided synthesis and analysis of PGTs.
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      New Graph Representation for Planetary Gear Trains

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    contributor authorYang, Wenjian
    contributor authorDing, Huafeng
    contributor authorZi, Bin
    contributor authorZhang, Dan
    date accessioned2019-02-28T11:04:00Z
    date available2019-02-28T11:04:00Z
    date copyright11/9/2017 12:00:00 AM
    date issued2018
    identifier issn1050-0472
    identifier othermd_140_01_012303.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4252293
    description abstractPlanetary gear trains (PGTs) are widely used in machinery to transmit angular velocity ratios or torque ratios. The graph theory has been proved to be an effective tool to synthesize and analyze PGTs. This paper aims to propose a new graph model, which has some merits relative to the existing ones, to represent the structure of PGTs. First, the rotation graph and canonical rotation graph of PGTs are defined. Then, by considering the edge levels in the rotation graph, the displacement graph and canonical displacement graph are defined. Each displacement graph corresponds to a PGT having the specified functional characteristics. The synthesis of five-link one degree-of-freedom (1DOF) PGTs is used as an example to interpret and demonstrate the applicability of the present graph representation in the synthesis process. The present graph representation can completely avoid the generation of pseudo-isomorphic graphs and can be used in the computer-aided synthesis and analysis of PGTs.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNew Graph Representation for Planetary Gear Trains
    typeJournal Paper
    journal volume140
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.4038303
    journal fristpage12303
    journal lastpage012303-10
    treeJournal of Mechanical Design:;2018:;volume( 140 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian