Impact of backlash, manufacturing deviations and friction on the load sharing factor of planetary gear systems

¹ Lab of Machine Elements and Machine Design, School of Mechanical Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, 54624 Thessaloniki, Greece
² Department of Mechanical Engineering, School of Technological Applications, University of Applied Sciences of Cen-tral Macedonia, Serres, Greece

^* Corresponding author: amih@auth.gr

Abstract

Techniques and software tools, which were recently introduced by the authors, allowed for effi-cient automatic generation of 3D gear flanks and selective meshing of the gears of a simple planetary gear system with backlash and manufacturing imperfections. Friction of the meshing gear flanks was neglected. First results were promising and showed that even in geometrically perfect planetary gear systems the torque distribution is not uniform. It was further verified that pitch errors have a strong impact on the load distri-bution and that a self-aligning sun gear significantly enhances the torque distribution among the planets. In the current study, the procedure mentioned above is enhanced in several aspects. First, the tooth friction is considered. The friction coefficient is assumed constant along the path of contact; however different values for the sun-planet and planet-ring gear mesh may be given to account for the different contact conditions. Second, deviations are generated between given limits in a stochastic way. This feature significantly reduces the time needed to setup a model. Third, the entire analysis procedure is further automated by extensively employing Python scripting, enabling the solution of successive snapshots in much shorter time. Besides the torque distribution among the planets, the mesh load factor Kγ and the deformation of the teeth, the planet bearing load is also shown.