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):

Bending Stress:

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: z₂ ≥ z₁·cos³β (helical mates).
- Lubrication: Forced oil cooling in high-speed systems.
- Alignment: Shaft perpendicularity ≤ ±0.02 mm.
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