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    Kinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method

    Source: Journal of Mechanical Design:;2012:;volume( 134 ):;issue: 011::page 114501
    Author:
    Ilie Talpasanu
    ,
    P. A. Simionescu
    DOI: 10.1115/1.4007144
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper presents a novel technique for the kinematic analysis of bevel gear trains using the incidence matrices of an edge-oriented graph of the mechanism. The kinematic equations are then obtained in matrix form using a cycle basis from a cycle matroid. These equations can be systematically generated, and allow for an efficient computation of the angular velocities of the gears and planet carriers of the mechanism without employing time derivative operations. As illustrated in the paper, the method is applicable to bevel gear trains of any number of gears or degrees of freedom.
    keyword(s): Gears , Cycles , Gear trains , Tree (Data structure) , Mechanisms AND Equations ,
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      Kinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/149708
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    contributor authorIlie Talpasanu
    contributor authorP. A. Simionescu
    date accessioned2017-05-09T00:52:59Z
    date available2017-05-09T00:52:59Z
    date copyrightNovember, 2012
    date issued2012
    identifier issn1050-0472
    identifier otherJMDEDB-926070#114501_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/149708
    description abstractThe paper presents a novel technique for the kinematic analysis of bevel gear trains using the incidence matrices of an edge-oriented graph of the mechanism. The kinematic equations are then obtained in matrix form using a cycle basis from a cycle matroid. These equations can be systematically generated, and allow for an efficient computation of the angular velocities of the gears and planet carriers of the mechanism without employing time derivative operations. As illustrated in the paper, the method is applicable to bevel gear trains of any number of gears or degrees of freedom.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleKinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method
    typeJournal Paper
    journal volume134
    journal issue11
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.4007144
    journal fristpage114501
    identifier eissn1528-9001
    keywordsGears
    keywordsCycles
    keywordsGear trains
    keywordsTree (Data structure)
    keywordsMechanisms AND Equations
    treeJournal of Mechanical Design:;2012:;volume( 134 ):;issue: 011
    contenttypeFulltext
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