Pericyclic gear drives can achieve high transmission ratios, making them suitable for electric vehicles, robotics, and aerospace applications. A typical configuration consists of external and internal bevel gears arranged in two stages, with an input shaft acting as a carrier. This study proposes a theoretical method for generating external and internal gears based on a conical shaper with spherical involute profiles and rounded tip edges. An enhanced unloaded tooth contact analysis, applicable to any two-stage gear drive, is developed to predict transmission errors between the carrier and the output gear. A finite element model, comprising the four gears and the carrier, is then implemented to validate the predicted transmission errors under low torque. The influence of the phase angle between the intermediate gears is examined, showing a reduction in the peak-to-peak transmission error, although increasing its frequency, an effect that decreases as torque rises. Analysis of the contact pressure and the maximum principal stress during the cycle of meshing suggests that bending fatigue may govern the load capacity of pericyclic transmissions.
Gonzãlez-Perez et al. (Tue,) studied this question.