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Deformability of a Planet Gear’s Axle in a Planetary Gear and Its Influence on the Load Distribution

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Abstract

A mathematical model is derived for the axle of a planet gear in cantilever attachment to the carrier of a planetary gear. The axle is represented by a beam on an elastic base. The influence of pliability of the axle and the associated drive components on the load distribution over the power fluxes is considered. The Leibniz formula and the Euler method are used in deriving the model. The nonuniformity of the load distribution over the power fluxes is assessed by solving a system of equations for the compatibility of the displacements, including the deformation of the gear teeth, the roller bearing, the planet gear’s axle, and the associated components, taking account of the initial misalignment of the teeth on account of manufacturing errors. The load capacity of the planetary gear with planet gear axles in a cantilever configuration is analyzed as a function of the number of power fluxes.

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Authors and Affiliations

  1. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

    F. I. Plekhanov, A. S. Sunzov & E. F. Vychugjanina

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  1. F. I. Plekhanov
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  2. A. S. Sunzov
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  3. E. F. Vychugjanina
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Correspondence to F. I. Plekhanov or A. S. Sunzov.

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Translated by B. Gilbert

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Plekhanov, F.I., Sunzov, A.S. & Vychugjanina, E.F. Deformability of a Planet Gear’s Axle in a Planetary Gear and Its Influence on the Load Distribution. Russ. Engin. Res. 43, 909–913 (2023). https://doi.org/10.3103/S1068798X23080245

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