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    Further Applications of Group Theory to the Enumeration and Structural Analysis of Basic Kinematic Chains

    Source: Journal of Mechanical Design:;1989:;volume( 111 ):;issue: 004::page 494
    Author:
    E. R. Tuttle
    ,
    S. W. Peterson
    ,
    J. E. Titus
    DOI: 10.1115/1.3259027
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The use of finite symmetry groups to enumerate basic kinematic chains has been extended by making use of the subgroup structure of the symmetry groups. This refinement not only makes the enumeration of kinematic chains considerably more efficient, but also permits the enumeration of all distinct inversions of each of the chains found. As examples, all chains with 2, 3, 4, and 5 independent loops and 1, 2, or 3 degrees of freedom and their inversions have been found on a personal computer.
    keyword(s): Structural analysis , Chain , Computers AND Degrees of freedom ,
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      Further Applications of Group Theory to the Enumeration and Structural Analysis of Basic Kinematic Chains

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    http://yetl.yabesh.ir/yetl1/handle/yetl/105680
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    contributor authorE. R. Tuttle
    contributor authorS. W. Peterson
    contributor authorJ. E. Titus
    date accessioned2017-05-08T23:30:31Z
    date available2017-05-08T23:30:31Z
    date copyrightDecember, 1989
    date issued1989
    identifier issn1050-0472
    identifier otherJMDEDB-28109#494_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105680
    description abstractThe use of finite symmetry groups to enumerate basic kinematic chains has been extended by making use of the subgroup structure of the symmetry groups. This refinement not only makes the enumeration of kinematic chains considerably more efficient, but also permits the enumeration of all distinct inversions of each of the chains found. As examples, all chains with 2, 3, 4, and 5 independent loops and 1, 2, or 3 degrees of freedom and their inversions have been found on a personal computer.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFurther Applications of Group Theory to the Enumeration and Structural Analysis of Basic Kinematic Chains
    typeJournal Paper
    journal volume111
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3259027
    journal fristpage494
    journal lastpage497
    identifier eissn1528-9001
    keywordsStructural analysis
    keywordsChain
    keywordsComputers AND Degrees of freedom
    treeJournal of Mechanical Design:;1989:;volume( 111 ):;issue: 004
    contenttypeFulltext
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