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    Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators

    Source: Journal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: B::page 71
    Author:
    M. Raghavan
    ,
    B. Roth
    DOI: 10.1115/1.2838679
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Problems in mechanisms analysis and synthesis and robotics lead naturally to systems of polynomial equations. This paper reviews the state of the art in the solution of such systems of equations. Three well-known methods for solving systems of polynomial equations, viz., Dialytic Elimination, Polynomial Continuation, and Grobner bases are reviewed. The methods are illustrated by means of simple examples. We also review important kinematic analysis and synthesis problems and their solutions using these mathematical procedures.
    keyword(s): Manipulators , Polynomials , Mechanisms , Equations AND Robotics ,
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      Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116244
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    contributor authorM. Raghavan
    contributor authorB. Roth
    date accessioned2017-05-08T23:48:47Z
    date available2017-05-08T23:48:47Z
    date copyrightJune, 1995
    date issued1995
    identifier issn1048-9002
    identifier otherJVACEK-28827#71_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116244
    description abstractProblems in mechanisms analysis and synthesis and robotics lead naturally to systems of polynomial equations. This paper reviews the state of the art in the solution of such systems of equations. Three well-known methods for solving systems of polynomial equations, viz., Dialytic Elimination, Polynomial Continuation, and Grobner bases are reviewed. The methods are illustrated by means of simple examples. We also review important kinematic analysis and synthesis problems and their solutions using these mathematical procedures.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators
    typeJournal Paper
    journal volume117
    journal issueB
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2838679
    journal fristpage71
    journal lastpage79
    identifier eissn1528-8927
    keywordsManipulators
    keywordsPolynomials
    keywordsMechanisms
    keywordsEquations AND Robotics
    treeJournal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: B
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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