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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 1
How To Read and InterpretA Gear Inspection Report
AGMA WebinarCopyrighted 2016
William M. McVea, Ph.D., P.E.President and Principal Engineer
KBE+, Inc.
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 2
The Three Parts of Gears
• The Form
• The Tooth
• The Teeth
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 3
The Three Parts of Gears
• The Form
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 4
The Three Parts of Gears
• The Form
• The Tooth
5
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 5
The Three Parts of Gears
• The Form
• The Tooth
• The Teeth
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 6
Definition of an Involute
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 7
Base Circle
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 8
Involute Helicoid
• Paper Cut as Parallelogram Shape
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 9
Involute Helicoid
2pr
H
Cylinder
Axis
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 10
Involute Helicoid
• Paper Cut as Parallelogram Shape
• Wrapped Around Base Cylinder
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 11
Involute
Helicoid
H
r
l
Helix
Helix
Tangent
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 12
Involute Helicoid
• Paper Cut as Parallelogram Shape
• Wrapped Around Base Cylinder
• Unwrapped as to Generate Involute
• Paper Edge Defines Involute Helicoid
13
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 13
Involute Helicoid
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 14
Involute
Helicoid Involute
Curves
rb
r
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 15
So What Are We Trying To Do Here
• Determine the amount of deviation from
a perfect gear tooth form, both;
– Profile (tooth form tip to root)
– Lead (tooth face one end to the other)
• Compare ‘actual’ form to required form
as defined by standard;
– AGMA
– ISO
– Etc.
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 16
Line of Action and Transmission Error
Point of Contact Between Driver and Driven As They Roll Through Mesh
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 17
Issues Caused By TE
• This ‘off-axis’ motion causes vibration
as it tries to accelerate / decelerate the load
• This manifests itself as;
– Vibration, which becomes ‘noise’
– Parasitic losses / inefficiencies
– This ‘lost energy’ goes into the lubricant and structure as heat
– And finally it is one of the main sources of wear
18
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 18
Polling Question #1
• What causes transmission error?
– A. Tooth form (profile) deviations
– B. Lead variations
– C. Surface finish (worse than required by quality standards)
– D. Lubricant failure (oxidation, debris entrainment, etc.)
– E. All of the above
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 19
Involute Measurement
• Measure of Gear Tooth Profile
• Rolling Gear on Base Circle
• Produces Contact Traces of Profile
• Relation Between Roll Angle / Profile
• Variations in Tooth Geometry
– Deviations from Straight Line on Chart
• Run Out / Gear Wobble Effect Trace
• Measure at Several Axial Positions
20
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 20
Involute Chart
0o 6
o 12o
18o
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 21
Involute
Chart
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 22
Red Liner
• Double Flank Tester
• Master Gear
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 23
Red LinerSchematic of Gear Rolling Device
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 24
Red Liner
• Double Flank Tester
• Master Gear
• Motion of Center of Test Gear
– Recorded (Trace)
– During Roll with Master
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 25
Red LinerTypical Chart
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 26
Red Liner
• Double Flank Tester
• Master Gear
• Motion of Center of Test Gear
– Recorded (Trace)
– During Roll with Master
• Measures Variation of Test Gear
– Composite Test & Master Gear Error
– Master Variation Assumed to be Negligible
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 27
Red Liner Data
• Total Composite Error
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 28
Red LinerTypical Chart
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 29
Red Liner Data
• Total Composite Error
• Tooth to Tooth Composite Error
• Tooth to Tooth Error
30
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 30
Red LinerTypical Chart
31
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 31
Red Liner Data
• Total Composite Error
• Tooth to Tooth Composite Error
• Tooth to Tooth Error
• Run-out
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 32
Red LinerTypical Chart
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 33
Red Liner Limitations
• Test Run with Zero Backlash
– Not at Operating Pitch Diameter
• Test Run with No-Load
• Both Flanks are Engaged
• Can Not Differentiate Between
– Involute Errors
– Lead Errors
– Profile Modification Errors
– Combination of Errors
34
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 34
Single Flank Gear Tester
• Measures Similar Parameters
– With Backlash
– On Operating Pitch Diameters
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 35
Single Flank Gear Tester
Schematic
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 36
Single Flank Gear Tester
• Measures Similar Parameters
– With Backlash
– On Operating Pitch Diameters
• Measures Transmission Error
• More Accurate Representation of Error
37
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 37
Polling Question #2
• Which measurement system predicts a more
accurate representation of ‘real-world’ operation?
– A. Red-liner (Double flank tester)
– B. Single flank
– C. No difference between the two
38
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 38
CMM: Coordinate Measurement Machine
GMM: Gear Measurement Machine
• Index Variation
• Lead Variation
• Involute Variation
• Topological Plots
• Generates Surface of Actual Tooth Form
39
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 39
Charts: Profile Inspection
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 40
Charts: Profile Inspection
• Profile inspection is a view of the tooth from root to tip
(or tip to root)
• A straight vertical line indicates a prefect involute
– As defined and ‘old school’ measure by the profile check
41
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 41
Profile Chart: General Information
Which part of the chart you are reviewing
Client data
Remarks specific to the job (i.e. orientation)
Inspection machine / system used
Inspection operator
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 42
Profile Chart: General Information
Job specific data (i.e. gear tooth profile, etc.)
43
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 43
Profile Chart: General Information
Type of measure profile (i.e. external or internal)
Units of measure
Type and size of probe used
44
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 44
Profile Chart: General Information
Diametral position of probe (referenced to tooth diameter)
Ratio between horizontal and vertical measurements
Axial grid measure (linear / chordal measure across tooth)
Chart magnification factor
45
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 45
Profile Chart: General Information
Side of tooth being inspected
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 46
Profile Chart: Tooth Height
Root to Tip
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 47
Profile Chart: Active Profile
Start of Active Profile (SAP) to
End of Active Profile (EAP)
OR;
Length / Area of Tooth of Interest
48
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 48
Profile Chart: Measured / Inspected Teeth
Specific teeth designated for identification purposes
Either specifically designated by the client
Or selected equally spaced (typically) around the shaft
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 49
Profile Chart: Measured / Inspected Quantities
Measurement Results:
Fa is the composite error of both angular and form deviations
ffa is the form error or essentially the waviness of the line
fHa is the angular error or the deviation of the assumed straight line from vertical
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 50
Profile Chart: Deviation from True Involute
Measurement Results:
ffa is the form error or essentially the waviness of the line
51
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 51
Profile Chart: Deviation from True Involute
Measurement Results:
ffa is the form error or essentially the waviness of the line
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 52
Profile Chart: Deviation from True Involute
Measurement Results:
ffa is the form error or essentially the waviness of the line
53
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 53
Profile Chart: Deviation from Tooth Form Position
Measurement Results:
fHa is the angular error or the deviation of the assumed straight line from vertical
54
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 54
Profile Chart: Deviation from Tooth Form Position
Measurement Results:
fHa is the angular error or the deviation of the assumed straight line from vertical
55
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 55
Profile Chart: Composite View of Total Error
Measurement Results:
Fa is the composite error of both angular and form deviations
56
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 56
Profile Chart: Composite View of Total Error
Measurement Results:
Fa is the composite error of both angular and form deviations
57
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 57
Profile Chart: Results Relative to Quality Number
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 58
Polling Question #3
• This is an extension question; meaning, we did not
specifically cover it in the preceding material, but let’s
expand our thinking a bit . . .
• What is the ‘non-measured’ attribute that also must
be taken into consideration and can be seen on the
previous charts?
– A. Waviness
– B. Tooth spacing (relative position of one tooth to the next)
– C. Consistency (or lack thereof) in error / deviation
59
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 59
Lead on a Helical Gear
Note: Spur gear is the degenerate
form of a helical gear, with a
helix angle of: 0.00°
60
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 60
Charts: Lead Check
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 61
Lead Chart: General Information
Diametral position of probe (referenced to top of tooth)
Ratio between horizontal and vertical measurements
Axial grid measure (linear / chordal measure across tooth)
Chart magnification factor
62
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 62
Lead Chart: General Information
Side of tooth being inspected
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 63
Lead Chart: Tooth Height
Root to Tip
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 64
Lead Chart: Active Profile
Length of tooth face to be inspected
Or of interest
65
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 65
Lead Chart: Measured / Inspected Quantities
Measurement Results:
FB is the composite error of both lead curvature and form deviations
ffB is the form error or essentially the waviness of the line
fHB is the lead curvature error or the deviation of the assumed straight line from vertical
66
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 66
Lead Chart: Deviation from True Lead
Measurement Results:
ffB is the form error or essentially the waviness of the line
67
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 67
Lead Chart: Deviation from True Lead
Measurement Results:
ffB is the form error or essentially the waviness of the line
68
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 68
Lead Chart: Deviation from True Lead
Measurement Results:
ffB is the form error or essentially the waviness of the line
69
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 69
Lead Chart: Deviation or Curvature of Lead
Measurement Results:
fHB is the lead curvature error or the deviation of the assumed straight line from vertical
70
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 70
Lead Chart: Deviation or Curvature of Lead
Measurement Results:
fHB is the lead curvature error or the deviation of the assumed straight line from vertical
71
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 71
Lead Chart: Composite View of Total Error
Measurement Results:
FB is the composite error of both lead curvature and form deviations
72
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 72
Lead Chart: Composite View of Total Error
Measurement Results:
FB is the composite error of both lead curvature and form deviations
73
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 73
Lead Chart: Results Relative to Quality Number
74
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 74
Charts: Pitch Inspection
75
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 75
Pitch Chart: General Information
Scale used on chart
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 76
Pitch Chart: General Information
Side of tooth being inspected
77
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 77
Pitch Chart: Measured / Inspected Quantities
Measurement Results:
fp is the composite tooth to tooth spacing error
fu is the single highest deviation of pitch spacing
fup is the individual tooth to tooth spacing error
78
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 78
Charts: Run-Out Inspection
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 79
Run-Out Chart: General Information
Scale and side of tooth being measured (right)
Scale and side of tooth being measured (left)
Scale and composite measurement of tooth
80
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 80
Charts: Run-Out Inspection
Perfect Circles
81
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 81
Charts: Run-Out Inspection
Representation of Composite
82
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 82
Reference List
1. “Gear Handbook” by Darle W. Dudley. First Edition, McGraw-Hill, Inc. 1962.
2. “Dudley’s Gear Handbook, Second Edition” by Dennis P. Townsend. McGraw-Hill, Inc. 1992. (ISBN: 0-07-017903-4)
3. “Spur Gears” by Earle Buckingham. First Edition, McGraw-Hill, Inc. 1928.
4. “Handbook of Practical Gear Design” by Darle W. Dudley. First Edition, Technomic Publication,
Inc. 1994. (ISBN: 1-56676-218-9)
5. “A Treatise of Gear Wheels” by George B. Grant. Twenty-First Edition, Philadelphia GEAR
Works Inc. 1899. Reprinted 1980.
6. “Gear Geometry and Applied Theory” by Faydor Litvin. First Ed, Prentice-Hall, Inc. 1994.(ISBN: 0-13-211095-4)
7. “The Internal Gear”, by The Fellows Corporation. Seventh Ed, Fellows Corporation. 1978.
8. “Encyclopedic Dictionary of Gears and Gearing” by D.W. South and R.H. Ewert. McGraw-Hill,
Inc., New York, New York. 1994. (ISBN: 0-07-059795-0)
9. “MAAG Gear Book” by MAAG Gear Company Ltd. 1990.
10. “Gleason Fachworter” by The Gleason Works. Alfred Wentzky & Co. 1967.
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 83
Reference List
11. “Mechanical Engineers Reference Handbook” by Edward H. Smith. Twelfth Edition, Society of
Automotive Engineers, Inc. 1994. (ISBN: 1-56091-450-5)
12. “Machinery’s Handbook” by Erik Oberg, Franklin Jones, and Holbrook Horton. Twenty-third
Edition, Industrial Press, Inc. 1914. Revised 1989. (ISBN: 0-8311-1200-X)
13. “Engineering Unit Conversions” by Micheal Lindeburg. Professional Publications, Inc. 1988.
(ISBN: 0-932276-89-X)
14. “Mechanics of Materials” by E. P. Popov. Second Edition, Prentice-Hall, Inc. 1976.
15. “Formulas for Stress and Strain” by Raymond Roark and Warren Young. Fifth Edition,
McGraw-Hill, Inc. 1975. (ISBN: 0-07-053031-9)
16. “Mechanical Engineering Design” by Joseph Shigley. Third Edition, McGraw-Hill, Inc. 1977.(ISBN: 0-07-056881-2)
17. “Mechanical Designs and Systems Handbook”, by Harold Rothbart. Second Edition, McGraw-
Hill Inc. 1985. (ISBN: 0-07-054020-9)
18. “Mark’s Standard Handbook for Mechanical Engineers ” by Eugene Avallone and Theodore
Baumeister. McGraw-Hill Inc. 1978. (ISBN:0-07-004127-X)
84
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 84
Reference List
19. “Rules of Thumb for Mechanical Engineers” by J. Edward Pope. Gulf Publishing Company.
1997.
20. “Mechanisms and Mechanical Devices Sourcebook” by Nicholas Chironis and Neil Sclater.
Second Edition, McGraw-Hill, Inc. 1996. (ISBN: 0-07-011256-4)
21. “Stress Concentration Factors” by R. E. Peterson. John Wiley and Sons, Inc. 1974.
85
AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 85
Reference List – URL Information 1. http://www.flying-pig.co.uk/mechanisms/pages/crank.htm
2. http://www.arrowgear.com/products/zerol_bevel_gears.htm
3. http://en.wikipedia.org/wiki/Spiral_bevel_gear
4. http://materialhandling.globalspec.com/LearnMore/Motion_Controls/Power_Transmission/Gears/
Worms_Worm_Gears
5. http://www.mekanizmalar.com/worm_gear.shtml
6. http://www.flying-pig.co.uk/mechanisms/pages/worm.html
7. http://en.wikipedia.org/wiki/Hypoid_Gear
8. http://en.wikipedia.org/wiki/Involute_gear
9. http://upload.wikimedia.org/wikipedia/commons/c/c2/Involute_wheel.gif
10. http://www.qtcgears.com/Q410/QTC/Q410P342.htm
11. http://www.gears-manufacturers.com/cycloidal-gears.html
12. http://www.csparks.com/watchmaking/CycloidalGears/index.jhtml
13. http://www.youtube.com/watch?v=UayBAHJQE_k
14. http://upload.wikimedia.org/wikipedia/commons/a/a0/CycloidAnim04.gif
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AGMA Webinar: How To Read and Interpret A Gear Inspection Report: Slide 86
Reference List – URL Information 15. http://www.engineeringletters.com/issues_v15/issue_1/EL_15_1_4.pdf
16. http://www.zakgear.com/WN.html
17. http://www.gearsolutionsonline.com/article/detail/5393/title/william-crosher-tooth-tips
18. http://gltrs.grc.nasa.gov/reports/2007/TM-2007-215032.pdf
19. http://upload.wikimedia.org/wikipedia/commons/c/c2/Involute_wheel.gif
20. http://upload.wikimedia.org/wikipedia/commons/4/4e/Hertz_contact_animated.gif
21. http://www.toolingu.com/definition-560100-25038-helical-gear.html
22. http://www.rushgears.com/Gear_Types/helicalGears.php
23. http://en.wikipedia.org/wiki/Face_gear
24. http://www.gears-manufacturers.com/face-gear.html