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    Instantaneous Kinematics of a Plane in Space Motion

    Source: Journal of Mechanical Design:;1983:;volume( 105 ):;issue: 003::page 552
    Author:
    K.-L. Ting
    ,
    A. H. Soni
    DOI: 10.1115/1.3267394
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A plane under a one-parameter motion envelops a surface called a plane-envelope which is a developable (torse). The properties of a plane-envelope are characterized through the properties of the edge of regression. The paper presents the methodology to obtain the families of planes whose envelopes have the common characteristics. Special cases including stationary plane, cylindrical developable, stationary generator, stationary-point, and helical developable are investigated. It is also shown that, in general, a plane embedded in a body executing Darboux motion envelops a helical developable.
    keyword(s): Kinematics , Motion AND Generators ,
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      Instantaneous Kinematics of a Plane in Space Motion

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    contributor authorK.-L. Ting
    contributor authorA. H. Soni
    date accessioned2017-05-08T23:16:05Z
    date available2017-05-08T23:16:05Z
    date copyrightSeptember, 1983
    date issued1983
    identifier issn1050-0472
    identifier otherJMDEDB-28034#552_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97427
    description abstractA plane under a one-parameter motion envelops a surface called a plane-envelope which is a developable (torse). The properties of a plane-envelope are characterized through the properties of the edge of regression. The paper presents the methodology to obtain the families of planes whose envelopes have the common characteristics. Special cases including stationary plane, cylindrical developable, stationary generator, stationary-point, and helical developable are investigated. It is also shown that, in general, a plane embedded in a body executing Darboux motion envelops a helical developable.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInstantaneous Kinematics of a Plane in Space Motion
    typeJournal Paper
    journal volume105
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3267394
    journal fristpage552
    journal lastpage559
    identifier eissn1528-9001
    keywordsKinematics
    keywordsMotion AND Generators
    treeJournal of Mechanical Design:;1983:;volume( 105 ):;issue: 003
    contenttypeFulltext
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