Reliability analysis of thin-walled ring gear based on tooth surface fatigue and wear

Based on the Hertz contact theory, the criterion of local yield strength value and the Archard wear theory, reliability analysis models of two failures are established and validated by the Monte Carlo simulation method to assess the tooth surface fatigue and wear reliability of thin-walled ring gears. Sensitivity analysis is carried out near the design point and assessed for the influence of operational torque, manufacturing parameters and assembly accuracy on reliability. The results show that the difference between the reliability of the two failures calculated by the first-order second-moment method and Monte Carlo simulation method is less than 1.1 %, and the reliability calculated by the first-order second-moment method is persuasive. The influence of operational torque on tooth surface fatigue reliability and wear reliability is similar, and tooth surface fatigue reliability is more sensitive to core hardness and carburized layer thickness, while tooth surface wear reliability is more sensitive to center distance and parallelism.