An analytical prediction methodology of the correlation between transmission error and tooth pitch error for face-hobbed hypoid gears

Transmission error (TE) as an important indicator in high performance gear pairs and accurate prediction of the TE is an important scientific issue. On this research, the relationship and connections between TE and tooth pitch error (TPE) for face-hobbed hypoid gears (FH-HG) are researched. Firstly, the kinematics of FH-HG based on the cutter-plate, machine and gear blanks are elucidated and the mathematical tooth surface of considering PE and the finite element model (FEM) are established. After, the effect of PE on the TE is explored and the relationship between PE and TE is analyzed by comparison the curves of the TPE, TPE and coincidence (TPE-C) with the calculating TE. Then, the curve segment idea of TE of pinion and gear is adopted to calculate the TPE of gear pair, respectively. The analytical prediction formulas of TE and TPE is proposed. Finally, an experiment example verifies the efficient of this method.