Gear pair 2 is selected to study and analyze the effect of gear geometric parameters on tooth stiffness. The curve of gear tooth stiffness under different modulus is drawn in Fig. 1. It can be seen from the figure that the value of single wheelset comprehensive stiffness under three different modulus is consistent with the change trend of meshing angle. At the same time, the gear tooth time-varying stiffness is highly consistent. The simulation results show that the modulus has no effect on the comprehensive stiffness of single wheelset and the time-varying stiffness of gear teeth.
The curves of gear tooth stiffness under different pressure angles are drawn in Fig. 2. The comprehensive stiffness curve of single wheelset in Fig. 2 (a) shows that the stiffness amplitude increases with the increase of pressure angle of spur gear pair, and affects the meshing angle at the beginning of meshing and the meshing angle span from meshing to meshing out. The curve drawn in Fig. 2 (a) shows that the initial meshing angle is 17.5 ° 20 ° 22.5 ° but the meshing angle span from meshing in to meshing out is 17.5 ° 20 ° 22.5 ° it can be seen that the pressure angle changes the tooth profile geometry and affects the meshing angle and meshing position during the meshing process. The stiffness curve in Fig. 2 (b) shows that the span of CD section in the single meshing area is 17.5 °< 20 °< 22.5 ° while the time-varying stiffness, whether in the single meshing area or in the double meshing area, is 17.5 °< 20 °< 22.5 ° mainly because the tooth thickness at any point along the 7-axis increases with the increase of the pressure angle, that is, the tooth thickness increases with the increase of the pressure angle The increase of cross-sectional area and inertia product leads to the enhancement of anti deformation ability of gear teeth.
The stiffness curves in Fig. 3 (a) show that the tooth width has no effect on the initial and final meshing angles and the angular span. With the increase of the tooth width, the amplitude of the comprehensive stiffness increases. At the same time, with the change of the meshing angle, the stiffness difference between the tooth widths first increases and then decreases. Similarly, the curve variation characteristics of the time-varying stiffness of gear teeth with the change of tooth width drawn in Fig. 3 (b) are similar to those in Fig. 3 (a), and show increasing variation in both single meshing area and double meshing area.
Figure 4 shows the curve of tooth stiffness change under different elastic modulus. As shown in Figure 4 (a) and Figure 4 (b), the stiffness increases with the increase of elastic modulus (material rigidity increase), and the stiffness change at the same engagement point shows the same multiple effect as elastic modulus. This change phenomenon can be extracted as constant term by combining the stiffness calculation formula The stiffness calculation without affecting other parameters is that the elastic modulus and stiffness are linear increase or decrease, which corresponds to the simulation results shown in Figure 4.
