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    Mappings of Spatial Kinematics

    Source: Journal of Mechanical Design:;1984:;volume( 106 ):;issue: 003::page 341
    Author:
    B. Ravani
    ,
    B. Roth
    DOI: 10.1115/1.3267417
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper studies mappings of spatial kinematics and the geometry for which a spatial displacement is an element. Study’s soma is reviewed and it is shown that Euclidean geometry in three-space with spatial displacements as elements corresponds to elliptic geometry of points in a projective dual three-space. Study’s eight parameters are used to define the mapping of spatial kinematics into points of this projective dual three-space. The basic geometric properties of this dual three-space representation of Study’s soma is developed and it is applied to the study of spatial motions and mechanisms.
    keyword(s): Kinematics , Geometry , Mechanisms , Motion AND Displacement ,
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      Mappings of Spatial Kinematics

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    http://yetl.yabesh.ir/yetl1/handle/yetl/98775
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    contributor authorB. Ravani
    contributor authorB. Roth
    date accessioned2017-05-08T23:18:28Z
    date available2017-05-08T23:18:28Z
    date copyrightSeptember, 1984
    date issued1984
    identifier issn1050-0472
    identifier otherJMDEDB-28043#341_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/98775
    description abstractThis paper studies mappings of spatial kinematics and the geometry for which a spatial displacement is an element. Study’s soma is reviewed and it is shown that Euclidean geometry in three-space with spatial displacements as elements corresponds to elliptic geometry of points in a projective dual three-space. Study’s eight parameters are used to define the mapping of spatial kinematics into points of this projective dual three-space. The basic geometric properties of this dual three-space representation of Study’s soma is developed and it is applied to the study of spatial motions and mechanisms.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMappings of Spatial Kinematics
    typeJournal Paper
    journal volume106
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3267417
    journal fristpage341
    journal lastpage347
    identifier eissn1528-9001
    keywordsKinematics
    keywordsGeometry
    keywordsMechanisms
    keywordsMotion AND Displacement
    treeJournal of Mechanical Design:;1984:;volume( 106 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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