Designing Parametric Bevel Gears With Catia V5: 1 Sources, Credits and Links
Designing Parametric Bevel Gears With Catia V5: 1 Sources, Credits and Links
Designing Parametric Bevel Gears With Catia V5: 1 Sources, Credits and Links
http://gtrebaol.free.fr/doc/catia/bevel_gear.html
This tutorial shows how to make a basic bevel gear that you can freely re-use in your assemblies.
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http://gtrebaol.free.fr/doc/catia/bevel_gear.html
The specific parameters and formulas added for bevel gears (in the cells colored in pink). # Parameter 1 2 3 4 5 6 7 8 9 a m Z1 Z2 delta ld ratio dZ p millimeter millimeter millimeter millimeter millimeter millimeter millimeter millimeter millimeter millimeter millimeter Type or unit angular degree millimeter integer integer angular degree millimeter Formula 20deg atan( Z1 / Z2 ) 1 - ld / ( lc * cos( delta ) ) 0mm m* p/2 m m * 1.25 m*Z/2 rp + ha rp - hf rp / cos( delta ) Description Pressure angle: technologic constant (10deg a 20deg) Name in French Angle de pression. Module. Nombre de dents. Nombre de dents de la roue conique complmentaire.
Modulus.
Number of teeth (11 Z1 200). Number of teeth of the complementary bevel gear.
Half angle of the front primitive Demi angle au sommet du cone. cne primitif avant Length of the teeth on the front primitive cone. Longueur des dents sur le cone primitif avant.
pour calculer les homothties du flanc intrieur Dcalage des constructions gomtriques suivant l'axe Z. Pas de la denture sur une crmaillre gnratrice rectiligne. Epaisseur d'une dent mesure sur le cercle primitif. Saillie d'une dent. Creux d'une dent. Rayon du cne primitif arrire Rayon du cercle de tte. Rayon du cercle de fond. Rayon du cercle de base. Cong de raccordement la racine d'une dent. (m * 0.38) vient de la norme. Paramtre de balayage de la courbe en dveloppante. Angle d'ajustement pour placer le point de contact dans le plan ZX. Coordonne X du profil de dent en dveloppante de cercle, gnr par le paramtre t. Coordonne Y du profil de dent en dveloppante de cercle. Rayon du cercle primitif.
Pitch of the teeth on a straight generative rack. Circular tooth thickness, measured on the pitch circle.
10 e 11 ha 12 hf 13 rp 14 rc 15 ra 16 rf 17 rb 18 rr 19 t 20 tc 21 xd 22 yd
Addendum = height of a tooth above the pitch circle. Dedendum = depth of a tooth below the pitch circle.
Radius of the outer circle. Radius of the base circle. Radius of the root circle.
-atan( yd( a / Trim angle used to put the 180deg ) contact point in the ZX plane. / xd( a / 180deg ) ) rb * ( cos(t * ) + sin(t * ) * t * ) rb * ( sin(t * ) cos(t * ) * t * ) X coordinate of the involute tooth profile, generated by the t parameter. Y coordinate of the involute tooth profile.
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The scale factor is computed by the ratio between the length of the front cone and the length of the teeth: ratio = 1 - teeth_length / front_cone_length . The tooth is generated by a multi-section surface, guided by 2 line segments connected to the end points of the outer tooth profile and innner tooth profile. The whole profile is a circular repetition of the tooth profile around the Z axis. Now the teeth surface is ready, but the generation parameters are not well defined yet.
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9 Flat gear
This figure shows a gear generated with the widest front cone:
10 Normal gear
On the opposite, we can check that we go back to the ordinary spur gear when the
delta
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