This study aims to clarify the relationship between the lateral motion of a slender endless flat belt and the parameters of a two-roller belt system, such as misalignment angle, distance between rollers, and roller diameter. A calculation method to predict the lateral motion the aforementioned configuration with in-plane misalignment was proposed based on the results of our previous study on an open-end belt system, which revealed that the lateral belt motion was determined by the relative displacement of the belt between the upstream and downstream rollers in the axial direction of the roller. An experimental setup was employed to investigate the lateral motion of such a system with in-plane misalignment and verify the validity of the method. The results based on the proposed method agreed well with the experimental results of the lateral belt motion. Furthermore, a formulation that could predict the change in the lateral belt motion, referred to as the tracking ratio or skew rate, of the slender endless flat belt in a two-roller belt system with in-plane misalignment based on the calculation method of the lateral belt motion was proposed. The computed tracking ratio based on this formulation agreed well with the experimental results. Our results demonstrated that the tracking ratio was influenced by the misalignment angle, distance between the rollers, and roller diameter.

To analyze self-lubricating mechanism of copper-based graphite composites, the discrete element method (DEM) was used to study motion law of graphite particles of copper-based graphite composite/45 steel during friction. The research results show the film-forming particle layer was formed on the composite surface after a period of friction, which maintained dynamic balance depends on continuous supply of graphite in the composite. At different position, the trajectory of graphite particles is different, but the motion tendency of the graphite is the same, that is, the graphite x movement direction is consistent with the sliding direction of 45 steel, the graphite y movement direction is from the inside of the composite to the friction interface, and the motion displacement in y direction is greater than that in x direction. The load and sliding speed have an important influence on the motion law of graphite. Load or speed change the trajectory of graphite particles. However, the load and speed did not change the movement trend of graphite particles, which were consistent with motion trend at different position.