The actual contact part on the tooth surface of a pair of bevel gears under normal meshing operation conditions is customarily called “contact area”. Because the shape, size and position of the tooth surface contact area have a direct impact on the smooth operation, service life and noise of the gear. Therefore, the tooth surface contact area is an important symbol to measure the meshing quality of bevel gears.

In the process of tooth contact analysis, there are often some bad contact areas. For example, the main feature of diagonal contact is that the contact trajectory is not perpendicular to the root line and diamond contact. The main feature is that the size of the long axis of each instantaneous ellipse in the middle contact area is inconsistent, and the contact areas at the inner and outer ends are diagonal contact; Fishtail contact, the main feature is that the contact trajectory of the contact area is curved. The trajectory of the ideal contact zone is a straight line and approximately perpendicular to the root line. In the actual working condition, we want to get an ideal contact trajectory and contact area, so we need to optimize the adjustment parameters of the machine tool.

As can be seen from the instantaneous contact ellipse and tooth surface contact area in Figure 1, when the long and short axes L1 and L2 of the instantaneous contact area at the calculation point and the tangent direction g of the contact trace are specified, the two induced curvature extreme values △ K1, △ K2 and the long axis direction angle at the calculation point can be calculated θ 0

Taking bed position xb1, radial tool position S1, vertical wheel position E01 and axial wheel position X1 as design variables, the objective function of small wheel adjustment parameters is established:

Optimize the concave machine tool adjustment parameters of the front small wheel:

The tooth shape angle of the external cutter of the small wheel cutter head is 18 ° 50 ‘, and the radius of the cutter head is 147.98753264

Adjustment parameters of concave machine tool of optimized small wheel:

The tooth shape angle of the external cutter of the small wheel cutter head is 18 ° 50 ‘, and the radius of the cutter head is 147.98753264