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    Mathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel Gears

    Source: Journal of Mechanical Design:;2020:;volume( 142 ):;issue: 004::page 043301-1
    Author:
    Hsu, Ruei-Hung
    ,
    Shih, Yi-Pei
    ,
    Fong, Zhang-Hua
    ,
    Huang, Chin-Lung
    ,
    Chen, Szu-Hung
    ,
    Chen, Shih-Sheng
    ,
    Lee, Yi-Hui
    ,
    Chen, Kuan-Hung
    ,
    Hsu, Tzu-Ping
    ,
    Chen, Wei-Jen
    DOI: 10.1115/1.4044433
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Prior to the development of sophisticated computer numerical control (CNC), both face milling (FM) and face hobbing (FH), the two most popular technologies for bevel gear production, required cradle-type machines with diverse and complicated mechanisms. In the last two decades, however, the gear industry has replaced these traditional machines with six-axis CNC bevel gear cutting machines that have superior efficiency and accuracy. One such machine is a vertical six-axis machine with a vertical spindle arrangement, which offers two industrially proven advantages: compact design and maximum machine stiffness. The technical details of this machine, however, remain undisclosed; so, this paper proposes a mathematical model that uses inverse kinematics to derive the vertical machine's nonlinear six-axis coordinates from those of a traditional machine. The model also reduces manufacturing errors by applying an effective flank correction method based on a sensitivity analysis of how slight variations in the individual machine setting coefficients affect tooth geometry. We prove the model's efficacy by first using the proposed equations to derive the nonlinear coordinates for pinion and gear production and then conducting several cutting experiments on the gear and its correction. Although the numerical illustration used for this verification is based only on FM bevel gears produced by an SGDH cutting system, the model is, in fact, applicable in the production of both FM and FH bevel gears.
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      Mathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel Gears

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4275675
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    contributor authorHsu, Ruei-Hung
    contributor authorShih, Yi-Pei
    contributor authorFong, Zhang-Hua
    contributor authorHuang, Chin-Lung
    contributor authorChen, Szu-Hung
    contributor authorChen, Shih-Sheng
    contributor authorLee, Yi-Hui
    contributor authorChen, Kuan-Hung
    contributor authorHsu, Tzu-Ping
    contributor authorChen, Wei-Jen
    date accessioned2022-02-04T22:54:20Z
    date available2022-02-04T22:54:20Z
    date copyright4/1/2020 12:00:00 AM
    date issued2020
    identifier issn1050-0472
    identifier othermd_142_4_043301.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4275675
    description abstractPrior to the development of sophisticated computer numerical control (CNC), both face milling (FM) and face hobbing (FH), the two most popular technologies for bevel gear production, required cradle-type machines with diverse and complicated mechanisms. In the last two decades, however, the gear industry has replaced these traditional machines with six-axis CNC bevel gear cutting machines that have superior efficiency and accuracy. One such machine is a vertical six-axis machine with a vertical spindle arrangement, which offers two industrially proven advantages: compact design and maximum machine stiffness. The technical details of this machine, however, remain undisclosed; so, this paper proposes a mathematical model that uses inverse kinematics to derive the vertical machine's nonlinear six-axis coordinates from those of a traditional machine. The model also reduces manufacturing errors by applying an effective flank correction method based on a sensitivity analysis of how slight variations in the individual machine setting coefficients affect tooth geometry. We prove the model's efficacy by first using the proposed equations to derive the nonlinear coordinates for pinion and gear production and then conducting several cutting experiments on the gear and its correction. Although the numerical illustration used for this verification is based only on FM bevel gears produced by an SGDH cutting system, the model is, in fact, applicable in the production of both FM and FH bevel gears.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel Gears
    typeJournal Paper
    journal volume142
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.4044433
    journal fristpage043301-1
    journal lastpage043301-12
    page12
    treeJournal of Mechanical Design:;2020:;volume( 142 ):;issue: 004
    contenttypeFulltext
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