Establishment of a Model for Elliptical Arc Tooth Line Cylindrical Gear Pair

On the premise of ensuring the same modulus, tooth ratio, tooth width and pressure angle, the model of elliptical arc tooth line cylindrical gear pair is established by changing the cutter head radius only. The table shows the established parameter table for 18 sets of elliptical arc tooth line cylindrical gear pairs.

NumberModule m/mmNumber of teeth z1, z2Tooth width b/mmPressure angle α (/ °)Knife head radius RT/mm
1432,80602030
2432,80602040
3432,80602050
4432,80602060
5432,80602070
6432,80602080
7432,80602090
8432,806020100
9432,806020110
10432,806020120
11432,806020130
12432,806020140
13432,806020150
14432,806020160
15432,806020170
16432,806020180
17432,806020190
18432,806020200

In the elliptical arc tooth line cylindrical gear pair shown in the figure, the thickness of the elliptical arc tooth line cylindrical gear is 60 mm, the number of teeth on the driving gear is 32, the number of teeth on the driven gear is 80, and the short half axis of the arc tooth line is 50 mm, that is, the radius of the machining cutter head RT=50 mm.

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