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    The Dynamic State of a Moving Plane

    Source: Journal of Manufacturing Science and Engineering:;1973:;volume( 095 ):;issue: 002::page 445
    Author:
    P. W. Eschenbach
    ,
    D. Tesar
    DOI: 10.1115/1.3438175
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Salient loci existing for special properties of the nth-order motion state are investigated. Generalized analytical expressions are given for the loci as functions of the motion parameters in a rectangular coordinate system. Metric geometry is used to show that the well known Bresse circles are the proper circles to a pencil of circles. Circles similar to the Bresse circles are shown to exist for the nth-order motion state with an associated coaxial pencil of circles. A detailed treatment for special properties of velocity, acceleration, and jerk is presented.
    keyword(s): Motion , Functions AND Geometry ,
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      The Dynamic State of a Moving Plane

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164046
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    contributor authorP. W. Eschenbach
    contributor authorD. Tesar
    date accessioned2017-05-09T01:36:53Z
    date available2017-05-09T01:36:53Z
    date copyrightMay, 1973
    date issued1973
    identifier issn1087-1357
    identifier otherJMSEFK-27591#445_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164046
    description abstractSalient loci existing for special properties of the nth-order motion state are investigated. Generalized analytical expressions are given for the loci as functions of the motion parameters in a rectangular coordinate system. Metric geometry is used to show that the well known Bresse circles are the proper circles to a pencil of circles. Circles similar to the Bresse circles are shown to exist for the nth-order motion state with an associated coaxial pencil of circles. A detailed treatment for special properties of velocity, acceleration, and jerk is presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Dynamic State of a Moving Plane
    typeJournal Paper
    journal volume95
    journal issue2
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438175
    journal fristpage445
    journal lastpage450
    identifier eissn1528-8935
    keywordsMotion
    keywordsFunctions AND Geometry
    treeJournal of Manufacturing Science and Engineering:;1973:;volume( 095 ):;issue: 002
    contenttypeFulltext
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