Transmission Error Analysis of Planetary Gear Train Based on Probability Calculation

In this paper, the statistical calculation formulas of gear transmission error are put forward to predict total transmission error of a gear train. Gear transmission errors come from a number of complex factors and those factors are hardly considered together on gear models. In order to analyze transmission error considering multiple factors, a three-layer coupling relationship model of each factor influencing the transmission error is investigated. Then, the influence of the third layer factor on the second layer factor and the influence of the single factor in the second layer on the gear transmission error are analyzed. Furthermore, the synthetic expression of transmission error for a gear train and the statistical calculation formula is obtained.