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    Solving the Forward Kinematics of a Planar Three-Legged Platform With Holonomic Higher Pairs

    Source: Journal of Mechanical Design:;1999:;volume( 121 ):;issue: 002::page 212
    Author:
    M. J. D. Hayes
    ,
    M. L. Husty
    ,
    P. J. Zsombor-Murray
    DOI: 10.1115/1.2829446
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A practical solution procedure for the forward kinematics problem of a fully-parallel planar three-legged platform with holonomic higher pairs is presented. Kinematic mapping is used to represent distinct planar displacements of the end-effector as discrete points in a three dimensional image space. Separate motions of each leg trace skew hyperboloids of one sheet in this space. Therefore, points of intersection of the three hyperboloids represent solutions to the forward kinematics problem. This reduces the problem to solving three simultaneous quadratics. Applications of the platform are discussed and an illustrative numerical example is given.
    keyword(s): Kinematics , Motion , Intersections AND End effectors ,
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      Solving the Forward Kinematics of a Planar Three-Legged Platform With Holonomic Higher Pairs

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    http://yetl.yabesh.ir/yetl1/handle/yetl/122600
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    contributor authorM. J. D. Hayes
    contributor authorM. L. Husty
    contributor authorP. J. Zsombor-Murray
    date accessioned2017-05-09T00:00:30Z
    date available2017-05-09T00:00:30Z
    date copyrightJune, 1999
    date issued1999
    identifier issn1050-0472
    identifier otherJMDEDB-27661#212_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/122600
    description abstractA practical solution procedure for the forward kinematics problem of a fully-parallel planar three-legged platform with holonomic higher pairs is presented. Kinematic mapping is used to represent distinct planar displacements of the end-effector as discrete points in a three dimensional image space. Separate motions of each leg trace skew hyperboloids of one sheet in this space. Therefore, points of intersection of the three hyperboloids represent solutions to the forward kinematics problem. This reduces the problem to solving three simultaneous quadratics. Applications of the platform are discussed and an illustrative numerical example is given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolving the Forward Kinematics of a Planar Three-Legged Platform With Holonomic Higher Pairs
    typeJournal Paper
    journal volume121
    journal issue2
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2829446
    journal fristpage212
    journal lastpage219
    identifier eissn1528-9001
    keywordsKinematics
    keywordsMotion
    keywordsIntersections AND End effectors
    treeJournal of Mechanical Design:;1999:;volume( 121 ):;issue: 002
    contenttypeFulltext
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