Gear tooth profile curvature

F - Mech Eng,Light,Heat,Weapons – 16 – H

Patent

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Details

F16H 55/08 (2006.01) F16H 55/17 (2006.01)

Patent

CA 2548107

A gear system which includes a pinion and mating-gear forming a gear pair with predetermined gear ratio (mG), center distance (C), face-width (FW), and limiting stresses. The pinion has a pinion tooth number (N1)nd a first plurality of teeth, each tooth having a first-tooth profile. The mating gear has a mating-gear tooth number (N2) satisfying the expression N2 = mG . N1 and a second plurality of teeth, each tooth having a second-tooth profile. The relative curvature of the first-tooth profile and the second-tooth profile is given by an expression k c . F c, where F c is a relative reference curvature function given by the expression F c= (N1+ N2)2 /(N1 . N2 . C), and k c is a relative curvature multiplier which is a function of the gear ratio (mG), the center distance (C), the face-width (FW), and the limiting stresses.

L'invention porte sur un système d'engrenage comprenant un pignon et une roue conjuguée formant une paire d'engrenages ayant un rapport d'engrenage prédéfini (m<SB>G</SB>), une distance par rapport au centre (C), une largeur de denture (F<SB>W</SB>) et des contraintes limitatives. Le pignon a un nombre de dents (N1) et une première pluralité de dents, chaque dent ayant un premier profil. La roue conjuguée a un nombre de dents (N2) satisfaisant à l'expression N2 = m<SB>G</SB> N1 et une seconde pluralité de dents, chaque dent ayant un second profil. La courbure relative du premier profil de dent et du second profil de dent est donnée par l'expression <i>k</i><i>c</i> .<i>F</i><i>c</i>, F</i><i>c</i>représentant une fonction de courbure de référence relative donnée par l'expression <i>F</i><i>c</i>= (N1+ N2)2 /(N1 . N2 . C), et <i>k</i><i>c</i> représente un multiplicateur de courbure relative qui est une fonction du rapport d'engrenage (m<SB>G</SB>), de la distance par rapport au centre (C), de la largeur de denture (F<SB>W</SB>) et des contraintes limitatives.

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