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    Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements

    Source: Journal of Mechanical Design:;1993:;volume( 115 ):;issue: 004::page 995
    Author:
    F. L. Litvin
    ,
    R. F. Handschuh
    ,
    J. Masseth
    ,
    N. Maruyama
    ,
    C. Kuan
    ,
    J. C. Wang
    DOI: 10.1115/1.2919298
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The deviations of a gear’s real tooth surface from the theoretical surface are determined by coordinate measurements at the grid of the surface. A method has been developed to transform the deviations from Cartesian coordinates to those along the normal at the measurement locations. Equations are derived that relate the first order deviations with the adjustment to the manufacturing machine tool settings. The deviations of the entire surface are minimized. The minimization is achieved by application of the least-square method for an overdetermined system of linear equations. The proposed method is illustrated with a numerical example for hypoid gear and pinion.
    keyword(s): Measurement AND Gears ,
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      Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements

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    http://yetl.yabesh.ir/yetl1/handle/yetl/112331
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    contributor authorF. L. Litvin
    contributor authorR. F. Handschuh
    contributor authorJ. Masseth
    contributor authorN. Maruyama
    contributor authorC. Kuan
    contributor authorJ. C. Wang
    date accessioned2017-05-08T23:42:02Z
    date available2017-05-08T23:42:02Z
    date copyrightDecember, 1993
    date issued1993
    identifier issn1050-0472
    identifier otherJMDEDB-27611#995_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/112331
    description abstractThe deviations of a gear’s real tooth surface from the theoretical surface are determined by coordinate measurements at the grid of the surface. A method has been developed to transform the deviations from Cartesian coordinates to those along the normal at the measurement locations. Equations are derived that relate the first order deviations with the adjustment to the manufacturing machine tool settings. The deviations of the entire surface are minimized. The minimization is achieved by application of the least-square method for an overdetermined system of linear equations. The proposed method is illustrated with a numerical example for hypoid gear and pinion.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMinimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements
    typeJournal Paper
    journal volume115
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.2919298
    journal fristpage995
    journal lastpage1001
    identifier eissn1528-9001
    keywordsMeasurement AND Gears
    treeJournal of Mechanical Design:;1993:;volume( 115 ):;issue: 004
    contenttypeFulltext
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