Construction of Fatigue Life Prediction Model and Optimization of Structural Parameters for Gear-Rack Transmission Mechanism of Mountain Train

As the critical transmission mechanism of mountain trains, gear-rack transmission systems are utilized in intricate and unpredictable mountain environments. The fatigue life of the tooth root in this system plays a crucial role in ensuring the smoothness and safety of mountain train operations. In this paper, a simulation method for measuring the fatigue life of tooth root bending of the gear-rack transmission mechanism is proposed. Firstly, the load conditions of the gear-rack were determined for different working conditions through the application of multi-body dynamics. Subsequently, a quantitative analysis model was developed for the tooth root bending fatigue life of the gear-rack transmission mechanism using the finite element method and stress fatigue theory. The model was used to simulate the gear-rack under different working conditions, analyze the stress distribution and cyclic fatigue life of the transmission system, and investigate the impact of different working conditions on the fatigue life of the gear-rack transmission system. Finally, the structural parameters of the gear-rack transmission mechanism were optimized using the fatigue analysis model of tooth root bending. The findings provide theoretical support for optimizing the transmission system of mountain trains and have significant practical value.