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    Higher Order, Planar Tangent-Line Envelope Curvature Theory

    Source: Journal of Mechanical Design:;1979:;volume( 101 ):;issue: 004::page 563
    Author:
    A. H. Soni
    ,
    M. N. Siddhanty
    ,
    K. L. Ting
    DOI: 10.1115/1.3454101
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Following the analogy of higher order point-path generation, new concepts for tangent-line higher order envelope curvature theory are introduced. Mathematical relationships are derived to define, using the instantaneous invariants and the stretch rotation concepts, the characteristic numbers λ1 and λ2 for third and fourth-order contacts at the tangency point of a tangent-line generating an envelope. The newly developed tangent-line higher order envelope curvature theory is applied to demonstrate its application in synthesis of mechanisms. Examples involving circular, elliptic and involute are generation using a mechanism are presented.
    keyword(s): Rotation ,
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      Higher Order, Planar Tangent-Line Envelope Curvature Theory

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    contributor authorA. H. Soni
    contributor authorM. N. Siddhanty
    contributor authorK. L. Ting
    date accessioned2017-05-08T23:07:15Z
    date available2017-05-08T23:07:15Z
    date copyrightOctober, 1979
    date issued1979
    identifier issn1050-0472
    identifier otherJMDEDB-27975#563_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92441
    description abstractFollowing the analogy of higher order point-path generation, new concepts for tangent-line higher order envelope curvature theory are introduced. Mathematical relationships are derived to define, using the instantaneous invariants and the stretch rotation concepts, the characteristic numbers λ1 and λ2 for third and fourth-order contacts at the tangency point of a tangent-line generating an envelope. The newly developed tangent-line higher order envelope curvature theory is applied to demonstrate its application in synthesis of mechanisms. Examples involving circular, elliptic and involute are generation using a mechanism are presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleHigher Order, Planar Tangent-Line Envelope Curvature Theory
    typeJournal Paper
    journal volume101
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3454101
    journal fristpage563
    journal lastpage568
    identifier eissn1528-9001
    keywordsRotation
    treeJournal of Mechanical Design:;1979:;volume( 101 ):;issue: 004
    contenttypeFulltext
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