The multi-flexible body dynamics of the hemispherical bevel gear is analyzed, and the dynamic changes of the transmission accuracy, stability, strength and other indicators of the hemispherical bevel gear pair under different dimensions and shaft intersection angles are analyzed, and the relevant fitting equations are established, which has reference significance for the dynamic design and application of the high-performance hemispherical bevel gear.

(1) The meshing motion simulation results of the hemispherical bevel gear show that it can realize correct and continuous meshing transmission without tooth interference, which verifies the correctness of the model.
(2) The transmission accuracy of the hemispherical bevel gear is verified by rigid-flexible coupling simulation analysis. Compared with the result of mathematical equation, the maximum transmission error is 1%.
(3) The stability and strength of hemispherical bevel gears are negatively correlated with each other. According to the simulation results and data analysis, the hemispherical bevel gear has the best comprehensive performance when the diameter of the indexing circle is 65 mm and the angle of the intersecting shaft is 120 °.