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    An Elimination Procedure for Solving the Geometric Design of Spatial 3R Manipulators

    Source: Journal of Mechanical Design:;2006:;volume( 128 ):;issue: 001::page 142
    Author:
    Eric Lee
    ,
    Constantinos Mavroidis
    DOI: 10.1115/1.2125970
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, the geometric design problem of serial-link robot manipulators with three revolute (R) joints when three precision points are specified is solved using an algebraic elimination method for the first time. Three spatial positions and orientations are defined and the dimensions of the geometric parameters of the 3R manipulator are computed so that the manipulator will be able to place its end-effector at these three prespecified locations. In this problem, six of the design parameters are set as free choices and their values are selected arbitrarily. For the specific case studied in this paper, a 12 deg single variable polynomial is calculated that has eight roots that are the design solutions and the other four roots are extraneous solutions.
    keyword(s): Design , Accuracy , Equations , Manipulators , Polynomials AND End effectors ,
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      An Elimination Procedure for Solving the Geometric Design of Spatial 3R Manipulators

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    http://yetl.yabesh.ir/yetl1/handle/yetl/134408
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    contributor authorEric Lee
    contributor authorConstantinos Mavroidis
    date accessioned2017-05-09T00:21:12Z
    date available2017-05-09T00:21:12Z
    date copyrightJanuary, 2006
    date issued2006
    identifier issn1050-0472
    identifier otherJMDEDB-27819#142_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/134408
    description abstractIn this paper, the geometric design problem of serial-link robot manipulators with three revolute (R) joints when three precision points are specified is solved using an algebraic elimination method for the first time. Three spatial positions and orientations are defined and the dimensions of the geometric parameters of the 3R manipulator are computed so that the manipulator will be able to place its end-effector at these three prespecified locations. In this problem, six of the design parameters are set as free choices and their values are selected arbitrarily. For the specific case studied in this paper, a 12 deg single variable polynomial is calculated that has eight roots that are the design solutions and the other four roots are extraneous solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Elimination Procedure for Solving the Geometric Design of Spatial 3R Manipulators
    typeJournal Paper
    journal volume128
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2125970
    journal fristpage142
    journal lastpage145
    identifier eissn1528-9001
    keywordsDesign
    keywordsAccuracy
    keywordsEquations
    keywordsManipulators
    keywordsPolynomials AND End effectors
    treeJournal of Mechanical Design:;2006:;volume( 128 ):;issue: 001
    contenttypeFulltext
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