In the 1940s, Gleason company Ernest wildhaber proposed the pitch surface model of hypoid gears, which made the model become the theoretical basis for the study of hypoid gears, and made the company a leader in the field of.
Sugimoto M. et al. Used a new type of measuring device, hypoid gear was used for TCA and LTCA in 1991 During the analysis, transmission error can be predicted, and the accuracy of prediction can be systematically checked; Litvin quasi hyperbolic gear transmission is analyzed, and the influence of installation error on transmission error is reduced by preset parabola function. At the same time, a method is proposed to control the performance near the reference point, but the position far away from the reference point cannot be accurately controlled, Cao Xuemei used three meshing points on the tooth surface to achieve the whole process control of the tooth surface, without changing the basic orientation of the gear at the same time, realized the preset transmission error; Simon proposed an adjustment theory of the optimal machine parameters based on the maximum contact pressure, load distribution coefficient and hypoid gear transmission error.
Tian Xingbin et al. Designed the processing parameters of FH hypoid gear. Compared with the traditional adjustment calculation method, the local synthesis method can accurately control the parameters of the reference point on the tooth surface; in order to make the transmission error meet the preset conditions, the genetic algorithm can also be used to dynamically optimize the parameters of a certain pinion. However, gear strength can not be controlled by tooth surface design with only transmission error as the goal.