Gear Cutting Machine Tool Care

Hob shifting, resharpening, flute spacing error, mounting angle, and pinion cutters. Intervals, oil types, and values are governed first by the machine and tool manufacturers' specifications and your machine's instruction manual; the values here are examples found in published sources. Store and handle oil-based cutting oil in accordance with the Fire Service Act and the municipal fire prevention ordinances (Japan), and follow the guidance of the fire department with jurisdiction.

⚙Care and inspection

÷Hob shift amount and effective shift length (Nidec Machine Tool's simple formulas)

  1. Shift amount ℓ (mm) = Mn × π × z ÷ (cos γ × i). Mn is the hob's normal module, z is the number of starts of the hob, γ is the lead angle of the hob, and i is the number of flutes of the hob. It is the amount by which the cutting edge that serves as the generating center is moved in turn to the position of the cutting edge in the next flute
  2. Hob allowance length a ≈ π ÷ 2 × m
  3. Cutting edge working range K = k + k0 (k is the working length of the cutting edges on the hob periphery, and k0 is the tooth profile generating range from the generating center (one side))
  4. Effective shift length S = hob blade length l − (K + 2a)
Shift amount
ℓ = Mn × π × z ÷ (cos γ × i)
Tooth profile generating range (one side)
k0 = Ca × cos β ÷ (tan αn × cos τ) (Ca is the hob addendum, αn is the tool's normal pressure angle, β is the helix angle of the gear, and τ is the hob's mounting angle)
Effective shift length
S = l − (K + 2a)
Worked example: conditions (shift amount)
Mn 1.5, γ 3°, 3 starts, 16 flutes
Worked example: result (shift amount)
ℓ = 1.5 × 3.14 × 3 ÷ (cos 3° × 16) ≈ 0.88 mm
Worked example: conditions (effective shift length)
Gear m2.25, pressure angle 14.5°, 25 teeth, helix angle 30°, outside diameter 70 mm; hob outside diameter 90 mm, 2 starts, blade length 130 mm (climb hobbing). From the charts, k = 23, k0 = 13
Worked example: result (effective shift length)
K = 36, a = 3.5, S = 130 − (36 + 7) = 87 mm

The shift amount formula is not one that gives optimal values for optimizing wear or stabilizing accuracy (Nidec Machine Tool's caution). The working length k of the peripheral cutting edges changes with the gear's diameter and helix angle, the hob's outside diameter and lead angle, and the hobbing method, and strictly it is calculated by the tool manufacturer. Many NC hobbing machines calculate the shift range automatically[11][12](1 source, for reference)

▦How tooth thickness decreases when the hob mounting angle is changed (Nidec Machine Tool's example: m2, pressure angle 20°, hob outside diameter 80 mm)

Change in mounting angleTooth thickness reduction
15′2 µm
30′8 µm
45′18 µm
1°32 µm

As a countermeasure to flank scratches and tearing in dry hobbing, the mounting angle is sometimes offset 15′–1° from the correct one. Tooth thickness decreases by that amount, and if infeed is held back to compensate, a chamfering hob gives a smaller chamfer at the tooth tip. Theoretical formula for tooth thickness reduction: ΔW = mn × {sin 2γ × (Δε)² ÷ (2 tan αn)} × (g ÷ sin³γ + Z); chamfer reduction (radial): ΔC = ΔW ÷ (2 tan αn) (mn is the hob's normal module, γ is the lead angle, Δε is the mounting angle error, g is the number of starts, and Z is the number of teeth. For helical gears, put Z ÷ cos³β in place of Z). Depending on the workpiece tolerance, a design change may be needed[27][28][3](1 source, for reference)

÷Calculating flute spacing error of a hob (from measurement with two dial indicators)

  1. Mean of indicator A readings recorded at flutes No. 1 to n: Avg = (No.1 + No.2 + … + No.n) ÷ n
  2. Difference for each flute S_k = Avg − No.k
  3. Single pitch error = maximum absolute value of S_k
  4. Work out the running sum S1, S1 + S2, S1 + S2 + S3, … in turn; cumulative pitch error = its maximum − its minimum
Mean
Avg = ΣNo.k ÷ n
Single pitch error
max|Avg − No.k|
Cumulative pitch error
max(Σ_{j≤k} S_j) − min(Σ_{j≤k} S_j)
Worked example: conditions
16-flute hob (Nidec Machine Tool's measurement example)
Worked example: result
Single pitch error 4.7 µm, cumulative pitch error 9.8 µm

At the end of the measurement, return indicator A to the No.1 flute and confirm that it returns to the initial 0. Graphing the values shows the single and cumulative errors (Nidec Machine Tool). The standard for the measurement method is JIS B 4355[9][10]

▦Example of hob sharpening tolerances (standard of the Metal Cutting Tool Institute, US. AA and A grades extracted from the table in a 1992 article, in units of 0.0001 inch)

Item / gradeDP1–1.99 (m≈13–25)DP2–2.99 (m≈8.5–13)DP3–3.99 (m≈6.4–8.5)DP4–4.99 (m≈5.1–6.4)DP5–5.99 (m≈4.2–5.1)DP6–8.99 (m≈2.8–4.2)DP9–12.99 (m≈2–2.8)DP13–19.99 (m≈1.3–2)DP20–29.99 (m≈0.85–1.3)DP30–50.99 (m≈0.5–0.85)DP51 and above (m≈0.5 and below)
Spacing of adjacent flutes, grade AA (single start only)——201510886666
Spacing of adjacent flutes, grade A4030252015101010101010
Spacing of non-adjacent flutes, grade AA (single start only)——403525151515151515
Spacing of non-adjacent flutes, grade A8060504030303025252020
Rake up to cutting depth, grade AA (single start only)——1086553333
Rake up to cutting depth, grade A30151086553333

Values are the total indicator reading (TIR). 1 is 0.0001 inch (2.54 µm), so for example 10 is about 25 µm. Module m is a guideline converted from diametral pitch DP as m ≈ 25.4 ÷ DP. The tolerance on flute lead depends on blade length: for grade A, 10 for blade length up to 1 inch, 15 for 1–2 inches, 25 for 2–4 inches, 30 for 4–7 inches, and 50 above 7 inches. The current Japanese standard is JIS B 4355 (modified adoption of ISO 4468; the 2020 edition of ISO is current, with seven grades 4A–D), and the values here are not a substitute for it[2][4](1 source, for reference)

÷Lead of the helical guide for pinion cutters (checking whether it can be shared)

  1. Check the cutter's normal module mn, number of teeth Zc and helix angle β
  2. Lead L = π × mn × Zc ÷ sin β (or L = π × cutter pitch circle diameter ÷ tan β)
  3. If another workpiece/cutter gives nearly the same L (within the lead error tolerance), the cutter tooth count is an integer, and the helix hand is the same, the same helical guide can be shared
Lead
L = π × mn × Zc ÷ sin β = π × Dc ÷ tan β (Dc is the pitch circle diameter of the cutter)
Worked example: conditions
mn 2、Zc 40、β 20°
Worked example: result
L = 3.1416 × 2 × 40 ÷ sin 20° ≈ 735 mm (estimate)

The formula and the conditions for sharing come from Nidec Machine Tool's material. The example figures are an estimate using this formula[29][8](1 source, for reference)

📚Sources

Items without a mark are those on which two or more materials from different publishers agree. Values and intervals are governed by each machine's specifications. The text is summarized in Kezuriba's own words.

  1. Nidec Machine Tool, “Cutting Tool Topics: Sharpening (Grinding) of Hobs”
  2. Gear Technology (a US gear trade magazine, now published by AGMA Media), "R. Moderow (ITW Illinois Tools), The Right and Wrong of Modern Hob Sharpening, January/February 1992 issue"
  3. Nidec Machine Tool, “Precision Cutting Tools | Hobs (product page)”
  4. Gear Technology (a US gear trade magazine, now published by AGMA Media), "B. W. Cluff (American Pfauter), Effects of Hob Quality and Resharpening Errors on Generating Accuracy, September/October 1987 issue"
  5. Gear Technology (a US gear trade magazine, now published by AGMA Media), "K. Liston (Pfauter-Maag Cutting Tools), Hob Basics Part II, November/December 1993 issue"
  6. Nidec Machine Tool, "Cutting Tool Topics: How to Measure Hob Sharpening Accuracy – Radial Alignment"
  7. Nidec Machine Tool, "Cutting Tool Topics: Problems in Hobbing and Their Causes"
  8. Nidec Machine Tool, “Precision Cutting Tools | Pinion Cutters (product page)”
  9. Nidec Machine Tool, "Cutting Tool Topics: How to Measure Hob Sharpening Accuracy – Flute Spacing"
  10. Japanese Standards Association (JSA), "JIS B 4355:2016 Gear hobs — Accuracy requirements (bibliographic record)"
  11. Nidec Machine Tool, "Cutting Tool Topics: Hob Shifting Methods"
  12. Nidec Machine Tool, “Cutting Tool Topics: Effective Shift Length of Hobs”
  13. Nachi-Fujikoshi (NACHI), “Hyper AP1/Hyper DuAl SP/GP/DuAl EX/VX Hobs, Catalog No.2302-4 (2023)”
  14. Gleason, “Tool Services - A Total Solutions Approach (regrinding and recoating of hobs, shaper cutters and shaving cutters)”
  15. Liebherr-Verzahntechnik「Precise and productive. Gear tools (brochure PDF)」
  16. Nidec Machine Tool, “Cutting Tool Topics: Sharpening (Grinding) of Pinion Cutters”
  17. Nidec Machine Tool, “Cutting Tool Topics: Problems in Gear Shaping and Their Causes”
  18. Nidec Machine Tool, "Cutting Tool Topics: Problems in Shaving and Their Causes"
  19. Mitsubishi Heavy Industries, “Mitsubishi Heavy Industries Technical Review Vol.43 No.3 (2006): Gear Machines and Precision Cutting Tools Supporting Automotive Transmission Gear Production”
  20. Nidec Machine Tool, “Precision Cutting Tools | Shaving Cutters (product page)”
  21. Gleason「The Gleason Power Skiving Approach」
  22. Mitsubishi Heavy Industries, “MHI Technical Review Vol.52 No.1 (2015) MHI Super-Skiving System for Longer Tool Life and Enhanced Efficiency in Internal Gear Cutting”
  23. Nidec Machine Tool, “Gear Grinding Machines (External Gear Grinding) ZE Series”
  24. Gleason, “Workholding Spare and Wear Parts (wear parts such as collets)”
  25. Gleason, “Workholding Services (maintenance of clamping fixtures)”
  26. Japan Machine Tool Builders' Association (JMTBA), “Technical Document 60-2014: Fire Safety Guidelines for Machine Tools (for Users)” (no longer posted on the association's site; archived copy on the Internet Archive)
  27. Nidec Machine Tool, “Cutting Tool Topics: Countermeasures for Tooth Flank Scratches in Dry Hobbing”
  28. Nidec Machine Tool, “Cutting Tool Topics: Effect of Hob Setting Angle Error on Tooth Thickness and Chamfer Amount”
  29. Nidec Machine Tool, “Cutting Tool Topics: Considerations on Sharing Helical Guides in Pinion Cutter Machining”