Load Sharing Behavior of Double-Pinion Planetary Gear Sets Considering Manufacturing Errors

The unequal load sharing of double-pinion planetary gear sets (PGSs) would take place because of manufacturing errors. A quasi-static model, suitable for any planet train number and support condition, was proposed considering manufacturing errors. The load sharing ratio of double-pinion PGSs with four planet trains was simulated for various planet position errors, whose results show that the radial planet position error has different effects on the load sharing behavior from simple PGSs. The mechanics for this phenomenon was revealed. The effect of the planet train number on the load sharing behavior in the presence of different planet position errors was then simulated by introducing the equivalent error variable. Finally, the effect of gear eccentricity errors on the load sharing behavior were simulated and some important characteristics were revealed such that the planet eccentricity error has worse impacts than position errors, and the effect of the eccentricity error of sun gear could be eliminated by floating the sun gear.

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