Gears Involute and Spur

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    Constant velocity ratio

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    Involute

    InvoluteInvolute : (r cosUU rsinUrsinU U r cosU )

    U

    r

    UrU

    r cosU

    r sinUUr cosU

    Ur sinU

    sin coscos cos sin sin

    sin sin cos coscos sin

    dy dr r

    dy r r rd ddx ddx r r r

    r r

    d d

    U U UU U U U UU U

    U U U U UU U U

    U U

    ! ! ! !

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    Involute Properties

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    Proofs

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    Involute action

    U R

    Ur

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    Terminology

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    Terminology

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    Involute and Rack

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    Rules and Standards

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    Tooth thickness

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    Tooth thickness

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    Interference and Undercutting

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    Interference and Undercutting

    Addendum : a

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    Interference and Undercutting

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    Contact ratio

    AxialcontactratioAxialcontactratio

    Transverse contactratioTransverse contactratio

    Totalcontact ratioTotalcontact ratio

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    Manufacturing

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    Manufacturing