After obtaining the comprehensive meshing stiffness of spiral bevel gear, in order to obtain the stiffness excitation force curve of spiral bevel gear, it is also necessary to calculate the comprehensive deformation during meshing. The time-varying comprehensive deformation can be expressed by the transmission error curve in the meshing process. The transmission error of spiral bevel gear can be calculated according to the following formula:
θ P0 (T) is the theoretical rotation angle of spiral bevel gear driving wheel, θ G (T) is the actual rotation angle of the spiral bevel gear driven wheel, I is the transmission ratio of the gear pair, and R (T) is the radius of the meshing center point of the spiral bevel gear driven tooth surface. The figure shows the transmission error curve of spiral bevel gear calculated according to the post-processing results.
According to figures 1 and 2, the meshing stiffness excitation curve of spiral bevel gear can be calculated according to the formula, as shown in Figure 3.
