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

            1. From Hirth graph
            2. From Hirth graph
            3. Total for both wheels

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.pdf

6 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"

 -

        1. Values based on Boston's pages 81 and calculations on page 146
        2. Formula should be p = DG * 3.1429 / teeth in gear ????
        3. Formula should be P = teeth in gear / DG ???
        4. These values do not appear to be obtainable from the Boston book.

Efficiency:

Information on Worm Gearing, that is not Specific to This Application:

Web Page on This Sight; OTHER: Mechanical - Gear - Worm Drive

Starts - 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

OTHER: Mechanics - Safety Factor

Hamilton Gear:

This information is Single Enveloping.

- Dimensioning:

FORM: Hamilton Worm Gear Selection. Not yet.

Table F - 7-1

Checked

Symbols:

 

Boston:

 

 

 

 

 

 

Ratio:

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

        1. Boston's values.
        2. Hamilton calculation on Boston value on page 81
        3. Hamilton Table F-8-1; except for Boston column.
        4. Hamilton Page K-9; except for Boston column.
        5. This is the distance between 1 wormgear and the worm. The center distance between the 2 wormgears will be slightly less than twice this value.

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

 5 DP:

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

Lead angle:

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:

Φn

See table F - 8-1

14.50º (1)

25º

30º

25º

25º

30º

25º

 (1) Trigonometry ~ Inverse tangent function, tan -1 or atn

Table F - 9-2 ~ Gear Dimensions:

Checked

 Dimension:

Symbol:

Formula:

6 DP:

Boston:

6 DP:

4-start

6 DP:

5-start

6 DP:

6-start

 5 DP:

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"

Throat diameter

Dt

2 * C - d + 2 * a

~

5.287"

6.601"

7.781"

6.340"

7.708"

7.925"

Outside diameter

Do

Normal = Dt + a

Maximum = 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

Interflon Fin Gear

Sizing of Worm and Gear;

Axial Module Worm Gears.

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.

Soft-Start:

BUY: PT - Clutch - Soft-Start - Centrifugal - SMC Axle Clutch

http://www.noramclutch.com/CLUTCHES/trilobe.html

http://www.compactradialengines.com/rz2.html

- 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

 

 

http://www.stieber.de/products/gfkgb.html

 

 

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:

582 UL DCDI 40 kW

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?

Rush Gear

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