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    Solving a Planar Four-Bar Design Problem Using Continuation

    Source: Journal of Mechanical Design:;1990:;volume( 112 ):;issue: 004::page 544
    Author:
    A. P. Morgan
    ,
    C. W. Wampler
    DOI: 10.1115/1.2912644
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of synthesizing a planar 4-bar with given pivots such that the coupler curve passes through five precision points is considered. It is shown that the design parameters must satisfy a system of 4 fourth-degree polynomial equations in 4 unknowns which has at most 36 nonzero real solutions. This polynomial system is solved using a continuation method, which thereby generates the collection of all designs that meet the precision-point specification. A computer program that implements this continuation method has been tested on a number of problems. It is reliable and fast enough for the purposes of design. The approach to kinematic design represented by this work is completely general, subject only to computer-time limitations that may arise for problems with many design elements.
    keyword(s): Design , Accuracy , Polynomials , Computer software , Equations AND Computers ,
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      Solving a Planar Four-Bar Design Problem Using Continuation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/107217
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    • Journal of Mechanical Design

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    contributor authorA. P. Morgan
    contributor authorC. W. Wampler
    date accessioned2017-05-08T23:33:10Z
    date available2017-05-08T23:33:10Z
    date copyrightDecember, 1990
    date issued1990
    identifier issn1050-0472
    identifier otherJMDEDB-27585#544_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/107217
    description abstractThe problem of synthesizing a planar 4-bar with given pivots such that the coupler curve passes through five precision points is considered. It is shown that the design parameters must satisfy a system of 4 fourth-degree polynomial equations in 4 unknowns which has at most 36 nonzero real solutions. This polynomial system is solved using a continuation method, which thereby generates the collection of all designs that meet the precision-point specification. A computer program that implements this continuation method has been tested on a number of problems. It is reliable and fast enough for the purposes of design. The approach to kinematic design represented by this work is completely general, subject only to computer-time limitations that may arise for problems with many design elements.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolving a Planar Four-Bar Design Problem Using Continuation
    typeJournal Paper
    journal volume112
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2912644
    journal fristpage544
    journal lastpage550
    identifier eissn1528-9001
    keywordsDesign
    keywordsAccuracy
    keywordsPolynomials
    keywordsComputer software
    keywordsEquations AND Computers
    treeJournal of Mechanical Design:;1990:;volume( 112 ):;issue: 004
    contenttypeFulltext
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