Conditions for the Neutralization of Excitation by the Teeth in Epicyclic Gearing

Abstract

Excitation of vibration by the teeth in a simple epicyclic gear system is considered, and it is shown that some of the potentially troublesome harmonic components can be neutralized by suitable choice of tooth numbers. In particular, the tooth frequency components acting on the central members are found to be neutralized if the number of teeth on the sun divided by the number of planets ( Z S /n) ≠ integer and ( Z S ± 1)/ n ≠ integer, provided that one of the central members is fixed. The practicability of satisfying the conditions and factors which tend to reduce their effectiveness are discussed.