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    Analytical-Form Position Analysis of the 7-Link Assur Kinematic Chain with Four Serially-Connected Ternary Links

    Source: Journal of Mechanical Design:;1994:;volume( 116 ):;issue: 002::page 622
    Author:
    C. Innocenti
    DOI: 10.1115/1.2919423
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper addresses the position analysis of the 7-link Assur kinematic chain that features three binary links and four serially-connected ternary links. The analysis, aimed at finding all possible assembly configurations of the Assur kinematic chain, is carried out by first devising a set of three constraint equations in a corresponding number of unknowns. Then, by an original elimination procedure, two out of the three unknowns are simultaneously dropped out. As a result, a final algebraic equation of degree sixteen with only one unknown and free from extraneous roots is obtained. The sixteen solutions of this equation provide as many assembly configurations for the Assur kinematic chain in the complex field. Finally, a case study is reported.
    keyword(s): Chain ,
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      Analytical-Form Position Analysis of the 7-Link Assur Kinematic Chain with Four Serially-Connected Ternary Links

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    http://yetl.yabesh.ir/yetl1/handle/yetl/114104
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    contributor authorC. Innocenti
    date accessioned2017-05-08T23:45:07Z
    date available2017-05-08T23:45:07Z
    date copyrightJune, 1994
    date issued1994
    identifier issn1050-0472
    identifier otherJMDEDB-27617#622_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114104
    description abstractThe paper addresses the position analysis of the 7-link Assur kinematic chain that features three binary links and four serially-connected ternary links. The analysis, aimed at finding all possible assembly configurations of the Assur kinematic chain, is carried out by first devising a set of three constraint equations in a corresponding number of unknowns. Then, by an original elimination procedure, two out of the three unknowns are simultaneously dropped out. As a result, a final algebraic equation of degree sixteen with only one unknown and free from extraneous roots is obtained. The sixteen solutions of this equation provide as many assembly configurations for the Assur kinematic chain in the complex field. Finally, a case study is reported.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical-Form Position Analysis of the 7-Link Assur Kinematic Chain with Four Serially-Connected Ternary Links
    typeJournal Paper
    journal volume116
    journal issue2
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2919423
    journal fristpage622
    journal lastpage628
    identifier eissn1528-9001
    keywordsChain
    treeJournal of Mechanical Design:;1994:;volume( 116 ):;issue: 002
    contenttypeFulltext
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