Mesh Phasing Variation of Planetary Gears Induced by Gear Pinhole Position Errors and Its Statistical Characteristics Prediction
Focusing on the problem of mesh phasing fluctuation of planetary gears,a time-varying mesh phasing model of planetary gears is established,and an analytical formula of time-varying mesh phasing under the influence of gear pinhole position errors is derived.To allow a link between gear pinhole position errors and the mesh phasing deviations,the Monte Carlo method is employed to predict the statistical distribution of the mesh phasing relations.The upper and lower bounds of the mesh phasing deviation are obtained based on the 3σ principle concerning the random distribution of the position errors within certain tolerance zones.Furthermore,numerical simulation is performed to analyse the influence of various gear pinhole position errors on the mesh phasing relations.Finally,a method for mesh phasing relations measurement based on strain gauge is proposed.The simulation and experimental results indicate that the proposed model can effectively predict the mesh phasing deviation caused by the gear pinhole position errors.The results can provide guidance for the design of gear position error tolerance and vibration reduction of planetary gear transmissions.
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