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    A Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears

    Source: Journal of Mechanical Design:;1991:;volume( 113 ):;issue: 002::page 174
    Author:
    Z. H. Fong
    ,
    Chung-Biau Tsay
    DOI: 10.1115/1.2912766
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A complete tooth geometry of the circular-cut spiral bevel gears has been mathematically modeled. The mathematical model has been divided into several independent modules, each representing an individual kinematic relation or tool-setting, with examples included. A comparison with the spiraloid model has also been made in this paper. The mathematical model can be applied to simulate and calculate the tooth profiles for the Duplex Method, Helical Duplex Method, Formate Method, and Modified Roll Method for circular-cut spiral bevel gears. It can also be applied to the computer numerical controlled (CNC) machining, computer-aided finite element stress analysis, and tooth contact analysis (TCA) for the spiral bevel gear.
    keyword(s): Gears , Geometry , Computer numerical control machine tools , Computers , Machining , Computer-aided engineering , Stress analysis (Engineering) AND Finite element analysis ,
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      A Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/108931
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    • Journal of Mechanical Design

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    contributor authorZ. H. Fong
    contributor authorChung-Biau Tsay
    date accessioned2017-05-08T23:36:08Z
    date available2017-05-08T23:36:08Z
    date copyrightJune, 1991
    date issued1991
    identifier issn1050-0472
    identifier otherJMDEDB-27588#174_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/108931
    description abstractA complete tooth geometry of the circular-cut spiral bevel gears has been mathematically modeled. The mathematical model has been divided into several independent modules, each representing an individual kinematic relation or tool-setting, with examples included. A comparison with the spiraloid model has also been made in this paper. The mathematical model can be applied to simulate and calculate the tooth profiles for the Duplex Method, Helical Duplex Method, Formate Method, and Modified Roll Method for circular-cut spiral bevel gears. It can also be applied to the computer numerical controlled (CNC) machining, computer-aided finite element stress analysis, and tooth contact analysis (TCA) for the spiral bevel gear.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears
    typeJournal Paper
    journal volume113
    journal issue2
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2912766
    journal fristpage174
    journal lastpage181
    identifier eissn1528-9001
    keywordsGears
    keywordsGeometry
    keywordsComputer numerical control machine tools
    keywordsComputers
    keywordsMachining
    keywordsComputer-aided engineering
    keywordsStress analysis (Engineering) AND Finite element analysis
    treeJournal of Mechanical Design:;1991:;volume( 113 ):;issue: 002
    contenttypeFulltext
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