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    Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 004::page 748
    Author:
    P. Sainsot
    ,
    O. Duverger
    ,
    P. Velex
    DOI: 10.1115/1.1758252
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The magnitude and variation of tooth pair compliance affects tooth loading and gear dynamics significantly. This paper presents an improved fillet/foundation compliance analysis based on the theory of Muskhelishvili applied to circular elastic rings. Assuming linear and constant stress variations at root circle, the above theory makes it possible to derive an analytical formula for gear body-induced tooth deflections which can be directly integrated into gear computer codes. The corresponding results are in very good agreement with those from finite element models and the formula is proved to be superior to Weber’s widely used equation, especially for large gears.
    keyword(s): Stress , Gears , Deflection , Formulas AND Equations ,
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      Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula

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    http://yetl.yabesh.ir/yetl1/handle/yetl/130483
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    • Journal of Mechanical Design

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    contributor authorP. Sainsot
    contributor authorO. Duverger
    contributor authorP. Velex
    date accessioned2017-05-09T00:13:51Z
    date available2017-05-09T00:13:51Z
    date copyrightJuly, 2004
    date issued2004
    identifier issn1050-0472
    identifier otherJMDEDB-27789#748_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/130483
    description abstractThe magnitude and variation of tooth pair compliance affects tooth loading and gear dynamics significantly. This paper presents an improved fillet/foundation compliance analysis based on the theory of Muskhelishvili applied to circular elastic rings. Assuming linear and constant stress variations at root circle, the above theory makes it possible to derive an analytical formula for gear body-induced tooth deflections which can be directly integrated into gear computer codes. The corresponding results are in very good agreement with those from finite element models and the formula is proved to be superior to Weber’s widely used equation, especially for large gears.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleContribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula
    typeJournal Paper
    journal volume126
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.1758252
    journal fristpage748
    journal lastpage752
    identifier eissn1528-9001
    keywordsStress
    keywordsGears
    keywordsDeflection
    keywordsFormulas AND Equations
    treeJournal of Mechanical Design:;2004:;volume( 126 ):;issue: 004
    contenttypeFulltext
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