CYLINDRICAL WORM GEAR PAIR
CALCULATION REPORT
Order Dware
Project Demo
Sub project Niemann-Winter Band III
Item S. 102 Voorbeeld 3
ID worm z1=1
ID gear z2=40
Calculated by André Dewispelaere
Company Dware
On date 12/07/2023

1 3. Input bearing points Symbol Unit Worm Wheel
2 z-Coordinate bearing point A zA mm 0.00 0.00
3 z-Coordinate bearing point B zB mm 450.00 140.00
4 z-Coordinate mesh point X zX mm 225.00 70.00
5 Sweep angle mesh point X φX °.dec 90.0000 -90.0000
6 Driver is -- -- Worm --
7 Driver rotation hand -- -- right --
8 Hand of thread -- -- right --
9 Bearing type -- -- ball ball
10 4. Calculation bearing points Symbol Unit Worm Wheel
11 Reference diameter d mm 83.20 416.80
12 Distance A - mesh point X lAX mm 225.00 70.00
13 Bearing span A-B lAB mm 450.00 140.00
14 Element is driver -- -- yes no
15 Worm position -- -- top --
16 Hand of rotation -- -- right left

1 5. Operating conditions Symbol Unit Worm Wheel
2 Desired service life Lh h 25000 25000
3 Service factor ID % 100.00 100.00
4 Roughness worm flanks Ra1 µm 0.800 --
5 Kinematic viscosity at 40 °C oil ν40 mm˛/s 320 320
6 Kinematic viscosity at 50 °C oil ν50 mm˛/s 169 169
7 Oil type -- -- mineral mineral
8 Wheel transverse force alternating -- -- no no
9 Short operation time -- -- no no
10 Short operation time duration tE min s 0 min 0 s 0 min 0 s
11 Short shocks duration < 15 s -- -- no no

1 6. Calculation of efficiency Symbol Unit Worm Wheel
2 At standstill Symbol Unit Worm Wheel
3 Static friction coefficient μzA -- 0.120 0.120
4 Static friction angle ρzA °.dec 6.8428 6.8428
5 Gear teeth static efficiency ηzA -- 0.503 0.503
6 Tangential release force FtA N 5.288 --
7 Release torque TA Nm 219.97 --
8 At rotation Symbol Unit Worm Wheel
9 Sliding velocity vg m/s 6.59 6.59
10 Reference friction coefficient μz0 -- 0.016 0.016
11 Sliding friction coefficient μz -- 0.026 0.026
12 Sliding friction angle ρz °.dec 1.4954 1.4954
13 Gear teeth efficiency worm driving ηz -- 0.82 0.82
14 Gear teeth efficiency gear driving η'z -- 0.79 0.79
15 Worm gear pair is self jamming -- -- no no
16 Gearing friction power loss PVz kW 3.960 3.960
17 Idle run power loss PV0 kW 0.484 0.484
18 Bearing power loss PVLP kW 0.165 0.165
19 Total power loss PV kW 4.609 4.609
20 Global efficiency ηg -- 0.79 0.79
21 7. Calculation of forces Symbol Unit Worm Wheel
22 Axial force coefficient μ -- 1 1
23 Tangential force coefficient ν -- -1 -1
24 Radial force coefficient ξ -- -1 -1
25 Normal tooth force Fn kN 23.859 23.859
26 Transverse tangential tooth force Ft kN -3.367 -21.237
27 Radial tooth force Fr kN -8.160 -8.160
28 Axial tooth force Fa kN 21.237 3.367
29 8. Reaction forces in bearing A Symbol Unit Worm Wheel
30 x-Component FxA kN -1.683 10.618
31 y-Component FyA kN 2.117 0.931
32 Resultant force FrA kN 2.705 10.659
33 Direction of resultant force φrA °.dec 128.4938 5.0134
34 9. Reaction forces in bearing B Symbol Unit Worm Wheel
35 x-Component FxB kN -1.683 10.618
36 y-Component FyB kN 6.043 -9.092
37 Resultant force FrB kN 6.273 13.979
38 Direction of resultant force φrB °.dec 105.5658 -40.5706
39 10. Thrust reaction Symbol Unit Worm Wheel
40 z-Component or axial thrust FzA,B kN -21.237 -3.367