Abstract
In this paper, a two-stage planetary gear (TSPG) system with sliding friction and elastic continuum ring gear is presented to investigate the modal properties and avoid resonance through employing the lumped parameter method. For this purpose, this study addresses a new elastic-discrete model of the planetary gear, in which the sliding friction and elastic continuum ring gear are considered simultaneously. Compared with the present literature, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. Additionally, the previous studies published are mainly about single-stage planetary gear. In this study, the translational-torsional motion equations of the new elastic-discrete model with sliding friction are derived theoretically. Afterwards, the effect of sliding friction on the time varying mesh stiffness is carried out. In order to clearly show the effect of the elasticity of ring gear, the modal properties for the TSPG system with different planet number, ring bending stiffness and sliding friction coefficient are investigated. The natural frequencies calculated by the elastic-discrete model are compared with the results obtained by lumped parameter model. Finally, the effect of sliding friction coefficient on the natural frequency is also analyzed.
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