The linear optimization modification scheme of long tooth profile addendum is the modification amount of driving gear 3 μ m. Modification amount of driven wheel 3 μ m。 Figure 1 shows the time-varying meshing force curves of the helical gear pair before and after the linear optimization and modification of the long tooth profile tooth top at different speeds. It can be seen that the time-varying meshing force of the helical gear pair of an electric vehicle reducer after the optimization and modification has decreased under low, medium and high speed conditions. Although the reduction is small and only a few newtons, it can be seen from Figure 1 (a) that this scheme effectively alleviates the meshing impact of the helical gear pair under low speed conditions.
Figure 2 shows the time-varying meshing stiffness curve of the helical gear pair before and after the linear optimization and modification of the tooth top of the long tooth profile. Obviously, the time-varying meshing stiffness of the helical gear pair of the reduction box of an electric vehicle after optimization and modification has decreased significantly, with the peak value from 5.1 × 108N/m becomes 4.89 × 108N/m, down 4.1%.

Therefore, it can be considered that the linear optimization modification scheme of the tooth top of the long tooth profile can reduce the dynamic excitation of the helical gear pair of the reduction box of an electric vehicle to a certain extent, thus alleviating the meshing impact between the teeth of the helical gear pair, and reducing the vibration of the helical gear transmission.