Item 1645
DESIGN:
SynchroLite ~ Power Train (for 1 engine) - Assembly - Layout - Worm & Wormgears ![]()
Overall Objective:
![]()
![]()
General Notes Related to the Complete Powertrain:
![]()
Current Concerns:
![]()
Drawing:

Boston ~ 6 Diametral pitch, 30 tooth gear, Quad thread worm gives a center distance of 3.5" and a HP of approx. 9 HP per worm gear.
Perhaps this MIGHT NOT be OK if there is an exceptionally good lubricant, very good cooling and the shock from the engine seriously diminished. Note that both wormgears will be contributing to the heat of the common worm.
![]()
Preliminary Notes:
![]()
Preliminary Power Train Criteria:
What is the efficiency by providing greater pitch combined with the efficiency loss by going to a greater (<10:1) GEAR REDUCTION?
|
|
Speed: |
|
Power: |
|
Torque: |
|
|
|
Ratio: |
|
Loss: |
|
|
|
|
Engine: |
4500 |
rpm |
51 (1) |
hp |
60 ft-lb (2) |
81 Nm |
|
Worm & Gear |
7.5:1 |
: 1 |
4 |
% |
|
|
|
Rotor |
600 |
rpm |
49 |
hp |
429 ft-lb (3) |
582 Nm |
Additional Notes:
To see how a conventional worm & gear reduction will work out, particularly if co-current improvements or subsequent improvements can be made.
Improvements such as:
![]()
Double Enveloping Worm Gearset:

![]()
Efficiency:
![]()
Symbols, Terms and Definitions:
![]()
Boston Gear:
http://www.bostongear.com/pdf/gearology/chapter04.pdf6 DP. 30 teeth, 7.5:1 ratio
This information is Single Enveloping.|
|
|
(1) |
|
p (2) |
0.5236 |
|
|
P (3) |
6 |
|
|
L |
2.094" |
|
|
a |
0.167" |
|
|
DW |
2.0" |
|
|
DG |
5.0" |
|
|
CD |
3.5" |
|
|
hT |
0.360" |
|
|
hT |
0.360" |
|
|
dr (4) |
5.334" |
|
|
DT (4) |
5.334" |
|
|
γ |
18º 43" |
|
|
Ratio |
7.5:1 |
|
|
DO (4) |
5.434" |
-
Efficiency:
![]()
Information on Worm Gearing, that is not Specific to This Application:
Web Page on This Sight;
OTHER: Mechanical - Gear - Worm DriveStarts - Number of Threads in Worm (NW)
Outside Information on Conventional Worm Gearing:
Maximum efficiency = tan( 45 - [friction angle = atan(
μ)] / 2 ) / tan( 45 + [friction angle = atan(μ)] / 2 )To see what a very low friction and optimal ratio will give for efficiency.
![]()
Friction Coefficient from
OTHER: Mechanical - Gear - Worm Drive ~ Efficiency and Friction![]()
Hamilton Gear:
This information is Single Enveloping.
- Dimensioning:
FORM: Hamilton Worm Gear Selection.
Not yet.Table F - 7-1
|
Checked |
Symbols: |
|
Boston: |
|
|
|
|
|
|
|
|
|
7.5 :1 |
7.5 :1 |
7.6 :1 |
7.5 :1 |
7.5 :1 |
7:4:1 |
7.5 :1 |
|
|
|
|
Gear teeth & Worm starts : |
30 & 4 |
30 & 4 |
38 & 5 |
45 & 6 |
30 & 4 |
37 & 5 |
30 & 4 |
|
|
|
Diametral pitch: (nbr. of teeth in wormgear / pitch dia.) |
6 DP: |
6 DP: |
6 DP: |
6 DP: |
5 DP: |
5 DP: |
4 DP: |
|
|
Ref only |
Module pitches: (pitch dia. /nbr. of teeth in wormgear) times 25.4 [for answer in millimeters] |
4.233 mm |
4.233 mm |
4.233 mm |
4.233 mm |
5.080 mm |
5,080 mm |
6.350 mm |
|
|
a |
Addendum, inches (nominal) (3) |
0.157 (2) |
0.144 |
0.131 |
0.144 |
0.173 |
0.157 |
0.216 |
|
|
c |
Clearance, inches |
? |
0.026 |
xx |
0.026 |
0.031 |
0.031 |
0.039 |
|
|
C |
Center distance, inches (5) |
3.5 |
3.172 |
3.842 |
4.686 |
3.787 |
4.486 |
4.698 |
|
|
d |
Nominal pitch diameter of worm, inches |
2.000 |
1.345 |
1.347 |
1.871 |
1.580 |
1.580 |
1.902 |
|
|
do |
Outside diameter of worm, inches |
2.334 (1) |
1.633 |
1.609 |
2.159 |
1.926 |
1.894 |
2.334 |
|
|
D |
Pitch diameter (std.) of gear in central plane, inches |
5.000 (1) |
5.000 |
6.336 |
7.500 |
6.000 |
7.393 |
7.493 |
|
|
Do |
Outside diameter of gear, Normal, inches |
~ |
5.431 |
6.732 |
7.925 |
7.069 |
7.865 |
9.246 |
|
|
Do Also |
Outside diameter of gear, Maximum, inches |
~ |
5.503 |
6.798 |
7.997 |
7.155 |
7.943 |
9.354 |
|
|
Dt |
Throat diameter of gear, inches |
~ |
5.287 |
6.601 |
7.781 |
6.340 |
7.708 |
9.030 |
|
|
Fe |
Effective face width of gear, inches |
1.000 |
0.879 |
xx |
0.879 |
1.044 |
1.044 |
|
|
|
f |
Face width of worm, minimum, inches |
2.5 |
2.585 |
xx |
2.804 |
2.744 |
|
3.429 |
|
|
hk |
Working depth, inches (3) |
~ |
0.288 |
0.262 |
0.288 |
0.345 |
0.314 |
0.432 |
|
|
ht |
Whole depth (ref. addendum + dedendum), inches (3) |
~ |
0.314 |
0.288 |
0.314 |
0.377 |
0.345 |
0.471 |
|
|
L |
Lead, inches |
2.096 |
2.096 |
2.620 |
3.144 |
2.513 |
3.140 |
3.140 |
|
|
NG |
Number of teeth in gear |
30 |
30 |
38 |
45 |
30 |
37 |
30 |
|
|
NW |
Number of threads (starts) in worm |
4 |
4 |
5 |
6 |
4 |
5 |
4 |
|
|
Pn |
Normal pitch of worm and gear, inches |
0.470" |
0.470" |
0.470" |
0.470" |
0.544" |
|
0.680" |
|
|
rG |
Gear throat gear radius, inches |
~ |
0.528 |
0.543 |
0.791 |
0.617 |
0.633 |
0.735 |
|
|
pX |
Axial pitch of worm, inches |
0.524 |
0.524 |
0.524 |
0.524 |
0.628 |
0.628 |
0.785 |
|
|
~ |
Circular pitch of wormgear. (4) Same value as axial pitch, inches. Here for definition only. |
0.524 |
0.524 |
0.524 |
0.524 |
0.628 |
0.628 |
0.785 |
|
|
λ |
Lead angle of worm and helix angle of gear, degrees |
18.43º (1) |
26.37º |
31.75º |
28.13º |
26.84º |
32.32º |
27.71º |
|
|
Φ |
Normal pressure angle of worm, degrees (3) |
14.50º (1) |
25º |
30º |
25º |
25º |
30º |
25º |
Table F - 9-1 ~ Worm Dimensions:
|
Checked |
Dimension: |
Symbol: |
Formula: |
6 DP: Boston: |
6 DP: 4-start |
6 DP: 5-start |
6 DP: 6-start |
4-start |
5 DP: 5-start |
4 DP: 4-start |
|
|
Lead, |
L |
Nw * pX |
2.094" |
2.096" |
2.620" |
3.144 |
2.513 |
3.140 |
3.140 |
|
|
Pitch diameter (nominal) approx. |
d |
0.45 * (C.875) | 8√C7| |
2 |
1.345 |
1.347 |
1.871 |
1.580 |
1.580 |
1.902 |
|
|
Pitch diameter (nominal) |
d |
Specified |
2.000 |
1.345 |
xx |
1.871 |
1.580 |
1.580 |
1.902 |
|
|
Outside Diameter: |
do |
d + 2a |
2.334 |
1.633 |
1.609 |
2.159 |
1.926 |
1.894 |
2.334 |
|
|
Minimum Face: |
f |
4 * root((D * a)/ 2) |
2.5" |
2.585" |
xx" |
2.804" |
2.744" |
|
3.429 |
|
|
λ |
tan-1 (L /( π * d)) (1) |
18º.26' (1) |
26.36º |
31.75º |
28.13º |
26.84º |
32.32º |
27.71º |
|
|
|
Normal Pitch: |
pn |
pX * cos(λ) |
0.470" |
0.470" |
0.470" |
0.470" |
0.544" |
|
0.680" |
|
|
Normal pressure angle: |
Φ n |
See table F - 8-1 |
14.50º (1) |
25º |
30º |
25º |
25º |
30º |
25º |
(1) Trigonometry ~ Inverse tangent function,
tan -1 or atnTable F - 9-2 ~ Gear Dimensions:
|
Checked |
Dimension: |
Symbol: |
Formula: |
6 DP: Boston: |
6 DP: 4-start |
6 DP: 5-start |
6 DP: 6-start |
4-start |
5 DP: 5-start |
4 DP: 4-start |
|
|
Pitch diameter (standard) |
D |
(NG * pX ) / π |
5.000" |
5.000" |
6.336" |
7.500" |
6.000" |
7.393" |
7.493" |
|
|
Dt |
2 * C - d + 2 * a |
~ |
5.287" |
6.601" |
7.781" |
6.340" |
7.708" |
7.925" |
|
|
|
Do |
Normal = Dt + aMaximum = Dt +1.5 * a |
~ ~ |
5.431" 5.503" |
6.732" 6.798" |
7.925" 7.997" |
6.513" 6.599" |
7.865" 7.943" |
8.141" 8.249" |
|
|
|
Throat Form Radius |
rG |
(d - 2 * a) /2 |
~ |
0.51" |
0.543" |
0.551" |
0.633" |
0.633" |
0.755" |
|
|
Effective Face: |
Fe |
root( (d + hk )2 - d2) |
1.000" |
0.879" |
0.880" |
0.879" |
1.044" |
1.045" |
1.284" |
![]()
-
Efficiency:Rubbing velocity of the worm
(feet per minute) = (π * pitch dia. of worm * Rpm or worm) / (12 * cosine of Lead Angle) = (3.14 * d * 4500) / (12 * cos(λ))________________________
Efficiency of Worm and Gear Sets in Percent: From Table F - 10-1
![]()
- Horsepower Ratings:
Note that the calculations below are based on the optimal materials etc and they do not take into account the extra activity on the worm due to its driving of 2 wormgears.Durability Horsepower Rating:
|
Checked |
Worm: |
|
Pac = (nw * sac * Cv * Z * p * D1.8 ) / (1980 * η * mG) = |
|
|
|
6 DP: 4-start |
(4,500 * 8,800 * .065 * 1.230 * 0.524 * 18.119) / (1980 * 95.25 * 7.5) = 21 HP |
|
|
|
6 DP: 5-start |
(4,500 * 8,800 * .065 * 1.245 * 0.524 * 27.750) / (1980 * 96 * 7.6) = 32 HP |
|
|
|
6 DP: 6-start |
(4,500 * 8,800 * .064 * 1.677 * 0.524 * 37.593) / (1980 * 96 * 7.5) = 59 HP |
|
|
|
5 DP: 4-start |
(4,500 * 8,800 * .065 * 1.168 * 0.628 * 25.135) / (1980 * 96.25 * 7.5) = 33 HP |
|
|
|
5 DP: 5-start |
(4,500 * 8,800 * .065 * 1.153 * 0.628 * 36.633) / (1980 * 96.25 * 7.4) = 48 HP |
|
|
|
4 DP: X-start |
(4,500 * 8,800 * |
|
|
Gear: |
|
Pac = (nw * sac * Cv * Z * p * D1.8 ) / (1980 * η * mG) = |
|
|
|
6 DP: 4-start |
(4,500 * 2,200 * .133 * 1.235 * 0.524 * 18.119) / (1980 * 95.25 * 7.5) = 10.9 HP |
|
|
|
6 DP: 5-start |
(4,500 * 2,200 * .127 * 1.240 * 0.524 * 19.913) / (1980 * 96 * 7.6) = 11 HP |
|
|
|
6 DP: 6-start |
|
|
|
|
5 DP: 4-start |
(4,500 * 2,200 * .198 * 1.169 * 0.628 * 25.158) / (1980 * 96.25 * 7.5) = 25 HP |
|
|
|
5 DP: 5-start |
|
|
|
|
4 DP: X-start |
|
Strength Horsepower Rating:
|
Checked |
Worm: |
|
Pat = (nw * sat * Kv * p * F * Rr * D * Cos(λ) / (1100 * η * mG) = |
|
|
|
6 DP: 4-start |
(4,500 * 50,000 * 0.15 * 0.524 * 0.879 * 1.066 * 5.000 * 0.896 / 1100 * 95.25 * 7.5 = 94 HP |
|
|
|
6 DP: 5-start |
(4,500 * 50,000 * 0.15 * 0.524 * 0.880 * 1.069 * 6.336 * 0.850 / 1100 * 96 * 7.6 = 111 HP |
|
|
|
6 DP: 6-start |
|
|
|
|
5 DP: 4-start |
(4,500 * 50,000 * 0.15 * 0.628 * 1.044 * 1.071 * 6.000 * 0.892 / 1100 * 96.25 * 7.5 = 160 HP |
|
|
|
5 DP: 5-start |
(4,500 * 50,000 * 0.15 |
|
|
|
4 DP: X-start |
(4,500 * 50,000 * 0.15 |
|
|
Gear: |
|
Pat = (nw * sat * Kv * p * F * Rr * D * Cos(λ) / (1100 * η * mG) = |
|
|
|
6 DP: 4-start |
(4,500 * 10,000 * 0.29 * 0.524 * 0.879 * 1.066 * 5.000 * 0.896 / 1100 * 95.25 * 7.5 = 36 HP |
|
|
|
6 DP: 5-start |
(4,500 * 10,000 * 0.29 * 0.524 * 0.880 * 1.066 * 6.336 * 0.850 / 1100 * 96 * 7.6 = 43 HP |
|
|
|
6 DP: 6-start |
|
|
|
|
5 DP: 4-start |
(4,500 * 10,000 * 0.29 * 0.628 * 1.044 * 1.071 * 6.000 * 0.892 / 1100 * 96.25 * 7.5 = 62 HP |
|
|
|
5 DP: 5-start |
|
|
|
|
4 DP: X-start |
|
![]()
- Weight:
|
Checked |
Hamilton Gear Specs: |
Worm: |
Wormgear: (1) |
Set of 3 gears: |
|
|
6 DP: 4-start ~ 30 & 4 |
1.6" dia * 5.5" = 11.1"3 = 3.1 lbs |
5.5" dia * 0.9" = 21.4"3 = 6.9 lbs |
17 lbs (1) |
|
|
6 DP: 5-start ~ 38 & 6 |
1.6" dia * 6.8" = 13.7"3 = 3.9 lbs |
6.8" dia * 0.9" = 32.7"3 = 10.5lbs |
25 lbs (1) |
|
|
6 DP: 6-start ~ 45 & 6 |
2.2" dia * 8.0" = 30.4"3 = 8.6 lbs |
8.0" dia * 0.9" = 45.3"3 = 14.5 lbs |
38 lbs (1) |
|
|
5 DP: 4-start ~ 30 & 4 |
1.9" dia * 7.2" = 20.4"3 = 5.8 lbs |
7.2" dia * 1.0" = 40.1"3 = 12.9 lbs |
32 lbs (1) |
|
|
5 DP: 5-start ~ 37 & 5 |
1.9" dia * 7.92" = 22.5"3 = 6.4 lbs |
7.9" dia * 1.0" = 49.0"3 = 15.7 lbs |
38 lbs (1) |
|
|
4 DP: X-start ~ 30 & 4 |
2.3" dia * 9.3" = 38.7"3 = 11.0 lbs |
9.3" dia * 1.3" = 88.3"3 = 28.3 lbs |
68 lbs (1) |
|
|
Mod: |
|
|
|
(1) Note that the wormgears can have quit a bit of meat cut off them.
![]()
Consider Adding Teflon to the Oil:
ApNano Materials, Inc. from Rick
![]()
Sizing of Worm and Gear;
Hard copy of Hamilton Book.
![]()
Books;
The Theory and Practice of Worm Gear Drives
![]()
Other Components of Gearbox Etc:
See for example etc.
DESIGN: SynchroLite ~ Power Train - Rotor-Synchro - Layout
Housing:
An upper casting will contain the bearings for the mast and the attachment lug to the fuselage. The lower portion may consist of two halves, which might be identical except LH & RH, The left hand one has a plug where the input shaft is on the right hand one and this allows for a future PTO.
???SynchroLite ~ Power Train (for 1 engine) - Housing
![]()
Bearing:
xx
Ref.
DESIGN: SynchroLite ~ Power Train - 1 Engine - Bearing - Selection Process, for Assy Item 1316 -- 2 Gear Sets & 1 Belt -- Idea 10![]()
Lubrication:
The worm has the engine at one end, but the other end is available for oil pump
&/or fan.![]()
Cooling and Weight Reduction:
Consider an axial bore along the centerline of the worm.
![]()
Related Power-Train Items:
The following will eventually be moved to their own page or an existing page
![]()
Gears:
DESIGN: SynchroLite ~ Power Train (for 1 engine) - Reduction Primary - for Assembly 1645
Clutch(s):
Will a centrifugal clutch serve both the overrunning and soft-start?
It appears that the multi-engine Gen H-4 has centrifugal clutches but not overrunning (freewheeling) clutches. The Mosquito has both.
Can it also serve (or be modified to serve) as the flexible coupling?
The overrunning clutch may be necessary due to the situation where the rotor wants to turn a 100% RPM when the motor is turning at a slower speed but one that is above the centrifugal clutches engagement speed. In this situation the craft may operate satisfactorily
but prolonged operations in this situation may eventually wear the clutch down and/or generate excessive heat.- Soft Start:
A clutch will be required so that the engine can be started without having to turn the rotors.
BUY: PT - Clutch - Soft-Start - Centrifugal - SMC Axle Clutch
- Overrunning (freewheeling):
The overrunning clutch is to be located between the motor and the gearbox. The torque is
??? ft-lb.This table was copied over and may not be applicable.
|
|
|
Consider 2 Warner CSK 35 (Item 0568), Max. torque 207 ft-lb. Sprag. C/w brgs, 0.66 lbs. |
|
|
|
Consider Warner CSK 40, (Item 0741) Max. torque 384 ft-lb. Sprag. C/w brgs?, 1.10 lbs. This weighs more but it means less material in adjoining items. |
|
|
|
Consider 2 Marland-RINGSPANN R206 (Item 0524), Max. torque 195 ft-lb. No brgs. Keyway |
|
|
|
Consider Marland-RINGSPANN R208 (Item 0141), Max. torque 450 ft-lb. No brgs. Keyway |
|
|
|
|
|
|
|
Look into the other ones mentioned on the line below |
For additional information see: SynchroLite ~ Power Train (for 2-engines) - Overrunning Clutch
Overrunning Clutch:![]()
Power Source:
Potential Engine:
Hirth 3701:
http://www.hirth-engines.de/english/index.htm
A two-cylinder [Zanzottera MZ 202] [Hirth 2706, 65 hp] might be better since the intermeshing configuration should require less power than the single+tail and the longitudinal balance of the SynchroLite should be better.
Compact Radial Engine:
http://www.compactradialengines.com/engines.html
Rotax Engine:
![]()
Potential Motors:
xxx:
![]()
Potential Supplier:
Winsmith Double Enveloping Worm Gear Speed Reducers Catalog Too large
Cone Drive ~ A Textron Company ~ David Brown
Vancouver Gear ~ Allen@vangear.com This is the company I spoke to. Can they provide single or double envelope worm gears?
![]()
Miscellaneous:
UAV:
![]()
For additional Information see:
![]()
Introduction Page | SynchroLite Home Page | Electrotor Home Page | UniCopter Home Page | Nemesis Home Page | AeroVantage Home Page
Last Revised:
June 15, 2008