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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Calculations for determining gear interference, with an example for an Early Falcon epicyclic gear.

Identifier  ExFiles\Box 28\5\  Scan101
Date  28th April 1917
  
-3-

Contd.

and C F₁ = r sin θ

Therefore extent of interference
= C K₁ - C F₁
= √(s²sin²θ + a(2s + a)) - (r + s) sin θ

Example.

Early Falcon epicyclic gear.
Sun wheel and planet pinion.
Nos. of teeth 51 and 24.
Module 2 mm.
Obliquity θ = 14½°.
Pitch diameters 102 mm. and 48 mm.
Addendum = module = 2mm.
r = 24, s = 51, a = 2
sin θ = .2504.

(a² + 2as) / (r² + 2rs{Sir Henry Royce's Secretary}) = (4 + 204) / (576 + 2448) = 208 / 3024
= .0688
sin²θ = .0627
hence interference occurs.

For extent of interference
C K₁ - C F₁

contd.
  
  


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