SOME ANALYTICAL GUIDELINES TO DEFINE OPTIMUM PROFILE RELIEF IN NARROW-FACED SPUR AND HELICAL GEARS

抄録

Based on analytical developments, it is found that families of profile modifications can render transmission error nearly constant which can be represented by so-called dimensionless master curves. These analytical findings compare well with the quasi-static numerical optimal profile relief obtained by coupling a lumped parameter model and a genetic algorithm. Extensive dynamic simulations have been performed for spur and helical gears whose results prove that the analytical findings are sound and actually correspond to profile modifications leading to reduced dynamic mesh forces over broad ranges of speeds. The proposed theory appears therefore as sound and can readily be used to help define adapted reliefs in terms of transmission error and dynamic tooth loading with minimum effort.