Analysis method for meshing misalignment of spiral bevel gear transmission system

Accurate analysis of the meshing misalignment of the spiral bevel gear transmission system under load is the basis for the optimal design of the gear tooth profile. When the transmission shaft structure is complex, the beam element model is used to solve the large deformation difference of the shaft, which will lead to an inaccurate analysis of the meshing misalignment of the gear pair. In order to solve this problem, this paper proposes a meshing misalignment analysis method for the step-by-step spiral bevel gear transmission system based on the solid finite element method. Firstly, the finite element model of the transmission shaft is established, and the bearing stiffness is coupled to the transmission shaft. Secondly, apply the equivalent gear pair meshing force on the gear shaft to analyze the shaft deformation. Then, combined with the deformation of the active and passive gear shafts, the meshing misalignment of the gear pair is analyzed. Finally, considering the meshing misalignment state of the gear pair, the finite element model of the loading contact analysis of the gear teeth is constructed, and the meshing mark offset and transmission error change of the gear pair are analyzed. The method is compared with the full finite element analysis model of the transmission system, including gears, shafts, and bearings. It shows that the meshing misalignment state of the gear pair analyzed by this method is in good agreement with the full finite element model, and the analysis efficiency is significantly improved.