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