Face Gears: Characteristics, Applications, and Design Calculations

face gear

Face Gears: Overview

A face gear is a specialized gear type with teeth cut on the end face, typically meshing with cylindrical gears (spur/helical) or bevel gears. It’s used in perpendicular or intersecting shaft transmissions, such as helicopter drivetrains.

Key Features

1. Transmission Performance

  • Smooth Operation: When paired with a spur gear at 90° shaft angles, face gears provide uniform contact stress distribution, reducing vibration/noise.
  • High Load Capacity: Large tooth contact area enables heavy-load applications (e.g., aerospace).
  • Low Axial Force: Minimizes bearing loads, enhancing system reliability.

2. Structural Advantages

  • Compact Design: Achieves high gear ratios in limited space.
  • Flexible Layouts: Compatible with complex drivetrain configurations.

3. Manufacturing Challenges

  • High Precision Required: Complex tooth profiles demand advanced CNC machining/grinding.
  • Specialized Tools: Dedicated cutting tools (e.g., skiving or shaping cutters) are essential.

Applications

  • Aerospace: Helicopter main/tail rotor gearboxes (compact, high-power).
  • Automotive: Differentials/transfer cases (torque distribution).
  • Industrial: Machine tool spindles, robotic joints (precision motion).
  • Horology: Watch movements (quiet, accurate).

Design Calculations

1. Basic Parameters

  • Module (m): Standardized (ISO/AGMA) based on power/speed.
  • Tooth Count (z₁, z₂): Ratio i = z₂/z₁ (z₂ > 30 to avoid undercutting).
  • Pressure Angle (α): 20° (default); 14.5° or 25° for special cases.
  • Face Width (b): ≤10× module.
  • Helix Angle (β): Optional for noise reduction (adds axial thrust).

2. Geometry

  • Pitch Diameter: d₁ = m·z₁ (pinion), d₂ = m·z₂ (face gear).
  • Tip/Root Diameters:
    • dₐ = d + 2·m (tip)
    • d_f = d − 2.5·m (root)
  • Tooth Modifications: Crowning/relief to prevent edge loading.

3. Strength Verification

Contact Stress (Hertz):

contact stress
(Z_E: Material coefficient; K: Load factors)

Bending Stress:

bending stress
(Y: Tooth form factors)

Safety Factors:

safety factors

4. Materials & Heat Treatment

  • Alloy Steels: 20CrMnTi, 18CrNiMo7-6 (case-hardened to 58–62 HRC).
  • Stainless/Plastics: For corrosion resistance/low-noise.
  • Processes: Carburizing, nitriding, or tempering.

5. Manufacturing & Inspection

  • Methods: CNC milling/grinding, EDM (hard materials).
  • Tolerances: Per AGMA 2000/ISO 1328 (profile/pitch errors).

6. Critical Design Notes

  • Undercut Prevention: z₂z₁·cos³β (helical mates).
  • Lubrication: Forced oil cooling in high-speed systems.
  • Alignment: Shaft perpendicularity ≤ ±0.02 mm.

Thank you for reading. We are looking forward to serving you with our exceptional gear solutions. #BeyondGears

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