Extract the meshing force curves of the spur gear pair within 0.17s-0.175s of the stable meshing stage of the gear pair, as shown in Figure 1.

According to the meshing force curve, when the center distance deviation is 0 mm, 0.03 mm, 0.06 mm, 0.09 mm, 0.12 mm, and 0.15 mm, the meshing force fluctuations in the stable stage of the spur gear pair are 2830 N, 3198 N, 3071 N, 2947 N, 3167 N, and 3206 N, respectively, and they are plotted as curves, as shown in Figure 2. It can be seen from the meshing force fluctuation curve that considering the center distance deviation will lead to a slight increase in the meshing force fluctuation. However, as the center distance deviation increases, the magnitude of the meshing force fluctuation does not vary linearly, and the overall fluctuation remains within a small range. According to the meshing stiffness analysis, an increase in the center distance deviation will lead to a decrease in the meshing stiffness, but the initial backlash and meshing interference degree of the involute gear pair will also change with it, resulting in a non-linear change in the meshing force fluctuation under the joint influence of multiple factors.
