Static Load Sharing Characteristics of Transmission Planetary Gear Sets: Model and Experiment
One of the most common applications of planetary (epi-cyclic) gear sets is found in automotive transmissions. A planetary gear set typically total torque applied to be shared by multiple planets making a higher power density possible. This advantage of the planetary gear sets relies heavily on the assumption that each pinion carries an equal share of the total torque applied. However, in production, gear manufacturing and assembly variations along with certain design parameters may prevent equal load sharing among the planets. Here, a generalized mathematical model of a single-stage planetary gear set having n planets is developed to predict load shared by each planet under quasi-static conditions. The model takes into account effects of two most common errors including pinion carrier errors and gear run-out errors. Results of an experimental test program are used to validate the predictions of the model. Generalized guidelines for equal load sharing are also presented.