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    Assessing Position Order in Rigid Body Guidance: An Intuitive Approach to Fixed Pivot Selection

    Source: Journal of Mechanical Design:;2009:;volume( 131 ):;issue: 001::page 14502
    Author:
    David H. Myszka
    ,
    James P. Schmiedeler
    ,
    Andrew P. Murray
    DOI: 10.1115/1.3013851
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Several established methods determine if an RR dyad will pass through a set of finitely separated positions in order. The new method presented herein utilizes only the displacement poles in the fixed frame to assess whether a selected fixed pivot location will yield an ordered dyad solution. A line passing through the selected fixed pivot is rotated one-half revolution about the fixed pivot, in a manner similar to a propeller with infinitely long blades, to sweep the entire plane. Order is established by tracking the sequence of displacement poles intersected. With four or five positions, fixed pivot locations corresponding to dyads having any specified order are readily found. Five-position problems can be directly evaluated to determine if any ordered solutions exist. Additionally, degenerate four-position cases for which the set of fixed pivots corresponding to ordered dyads that collapse to a single point on the center point curve can be identified.
    keyword(s): Theorems (Mathematics) , Poles (Building) , Propellers , Design , Displacement AND Rotation ,
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      Assessing Position Order in Rigid Body Guidance: An Intuitive Approach to Fixed Pivot Selection

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    http://yetl.yabesh.ir/yetl1/handle/yetl/141458
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    • Journal of Mechanical Design

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    contributor authorDavid H. Myszka
    contributor authorJames P. Schmiedeler
    contributor authorAndrew P. Murray
    date accessioned2017-05-09T00:34:32Z
    date available2017-05-09T00:34:32Z
    date copyrightJanuary, 2009
    date issued2009
    identifier issn1050-0472
    identifier otherJMDEDB-27890#014502_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/141458
    description abstractSeveral established methods determine if an RR dyad will pass through a set of finitely separated positions in order. The new method presented herein utilizes only the displacement poles in the fixed frame to assess whether a selected fixed pivot location will yield an ordered dyad solution. A line passing through the selected fixed pivot is rotated one-half revolution about the fixed pivot, in a manner similar to a propeller with infinitely long blades, to sweep the entire plane. Order is established by tracking the sequence of displacement poles intersected. With four or five positions, fixed pivot locations corresponding to dyads having any specified order are readily found. Five-position problems can be directly evaluated to determine if any ordered solutions exist. Additionally, degenerate four-position cases for which the set of fixed pivots corresponding to ordered dyads that collapse to a single point on the center point curve can be identified.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAssessing Position Order in Rigid Body Guidance: An Intuitive Approach to Fixed Pivot Selection
    typeJournal Paper
    journal volume131
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3013851
    journal fristpage14502
    identifier eissn1528-9001
    keywordsTheorems (Mathematics)
    keywordsPoles (Building)
    keywordsPropellers
    keywordsDesign
    keywordsDisplacement AND Rotation
    treeJournal of Mechanical Design:;2009:;volume( 131 ):;issue: 001
    contenttypeFulltext
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