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    Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters

    Source: Journal of Mechanical Design:;1998:;volume( 120 ):;issue: 001::page 92
    Author:
    Shinn-Liang Chang
    ,
    Chung-Biau Tsay
    DOI: 10.1115/1.2826682
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Pitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechanism relationship and the equation of meshing, is proposed here to derive a complete mathematical model of noncircular gears manufactured with involute-shaped shaper-cutters. The proposed method is similar to the contact line method and the envelope method, but is easier to apply to the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Finally, modified elliptical gears are presented to illustrate the tooth profile generation when the proposed mathematical model is applied, and to investigate the phenomenon of tooth undercutting.
    keyword(s): Gears , Equations , Mechanisms AND Computer software ,
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      Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/120929
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    • Journal of Mechanical Design

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    contributor authorShinn-Liang Chang
    contributor authorChung-Biau Tsay
    date accessioned2017-05-08T23:57:27Z
    date available2017-05-08T23:57:27Z
    date copyrightMarch, 1998
    date issued1998
    identifier issn1050-0472
    identifier otherJMDEDB-27649#92_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/120929
    description abstractPitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechanism relationship and the equation of meshing, is proposed here to derive a complete mathematical model of noncircular gears manufactured with involute-shaped shaper-cutters. The proposed method is similar to the contact line method and the envelope method, but is easier to apply to the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Finally, modified elliptical gears are presented to illustrate the tooth profile generation when the proposed mathematical model is applied, and to investigate the phenomenon of tooth undercutting.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleComputerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters
    typeJournal Paper
    journal volume120
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2826682
    journal fristpage92
    journal lastpage99
    identifier eissn1528-9001
    keywordsGears
    keywordsEquations
    keywordsMechanisms AND Computer software
    treeJournal of Mechanical Design:;1998:;volume( 120 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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