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8/8/2019 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