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    Instantaneous Invariants in Three-Dimensional Kinematics

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 002::page 409
    Author:
    Y. Kirson
    ,
    A. T. Yang
    DOI: 10.1115/1.3424310
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper generalizes the concepts of canonical systems and instantaneous invariants from planar to three-dimensional kinematics. It presents a systematic procedure to determine the instantaneous invariants. An example is included for illustration. The instantaneous invariants are derived on the basis of line coordinates, therefore they are useful for the characterization of higher-order intrinsic properties of a ruled surface—the path trajectory of an arbitrary line embedded in a rigid body in three-dimensional motion. It is hoped that this study may be useful for the rational design of spatial mechanisms for surface generation.
    keyword(s): Kinematics , Motion , Trajectories (Physics) , Design AND Mechanisms ,
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      Instantaneous Invariants in Three-Dimensional Kinematics

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    contributor authorY. Kirson
    contributor authorA. T. Yang
    date accessioned2017-05-08T23:04:18Z
    date available2017-05-08T23:04:18Z
    date copyrightJune, 1978
    date issued1978
    identifier issn0021-8936
    identifier otherJAMCAV-26093#409_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/90731
    description abstractThe paper generalizes the concepts of canonical systems and instantaneous invariants from planar to three-dimensional kinematics. It presents a systematic procedure to determine the instantaneous invariants. An example is included for illustration. The instantaneous invariants are derived on the basis of line coordinates, therefore they are useful for the characterization of higher-order intrinsic properties of a ruled surface—the path trajectory of an arbitrary line embedded in a rigid body in three-dimensional motion. It is hoped that this study may be useful for the rational design of spatial mechanisms for surface generation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInstantaneous Invariants in Three-Dimensional Kinematics
    typeJournal Paper
    journal volume45
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424310
    journal fristpage409
    journal lastpage414
    identifier eissn1528-9036
    keywordsKinematics
    keywordsMotion
    keywordsTrajectories (Physics)
    keywordsDesign AND Mechanisms
    treeJournal of Applied Mechanics:;1978:;volume( 045 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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