Abstract
Abstract A dynamic model is constructed for 2K-H spur planetary gear set in the carrier-attached coordinate system. By providing the modeling details and comparisons with previous planetary gear models, this paper clarifies discrepancies in the carrier-attached coordinate of the planets and corrects errors in previously published models. The modal properties of spur planetary gears with equally spaced planets are categorized and mathematically proved. A dynamic model, which corrects omissions of previous work and ensures analysis reliable, is formulated to obtain the equations of vibration of the planetary gears. The influence of the bearing stiffness of central components on the vibration mode characteristics of the planetary gear is examined. The results show that spur planetary gears have exactly three types of vibration modes. The investigation into component stiffness reveals that the stiffness of the ring only influences rotational and translational modes, while the circumferential stiffness and the radial stiffness have no effect on the planet modes.
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