In order to use three-dimensional model to analyze the meshing of the arc tooth cylindrical gear formed by the two processing methods, the first step is to establish a gear model corresponding to figure 5 and figure 8 respectively and with the same number of teeth. Take the gear shown in Fig. 5 and Fig. 8 as the pinion, and take the number of teeth Z2 = 36 of the matched big gear, then the three-dimensional model of the big gear is shown in Fig. 10a and Fig. 1b respectively.

After the surface of the required big gear is smoothed, the arc tooth cylindrical gear pairs processed by the parallel connecting rod method and the rotating cutter head method are simulated for assembly, and the assembly schematic diagram is shown in Fig. 2 and Fig. 3 respectively.

UG interference checking tool is used to analyze the meshing interference of the gear pairs shown in Fig. 2 and Fig. 3 with and without backlash. Take the pinion as the driving wheel, rotate 2 ° and 20 ° each time, and the interference between the two gears is shown in Table 3.

It can be seen that there is a small interference in the engagement of the arc tooth cylindrical gear directly obtained by the parallel connecting rod mechanism method and the rotating cutter head method without the tooth side clearance and the top clearance; when the tooth side clearance and the top clearance are left, they can be meshed normally without interference.

Taking two common machining methods (parallel connecting rod method and rotating cutter head method) of spiral gear as the research object, the technological performance of the two machining methods and the analysis and comparison of the interference of machining gear tooth surface are completed. The main conclusions are as follows:

(1) Compared with the parallel connecting rod method, the rotating cutter head method has better technological performance in system rigidity, maximum cutting speed, production efficiency, rationality of machining tooth profile, machining accuracy and machining hard tooth surface.

(2) When the arc tooth cylindrical gear is machined by rotating the cutter head, there are machining marks on the surface of the gear teeth, which need further finishing.

(3) Because of the characteristics of small stiffness and dynamic imbalance that parallel linkage mechanism can’t overcome, it can’t carry out high-speed cutting, gear grinding, shaving and other finishing machining.

(4) Through the comparative study and analysis of the two processing methods, it is found that the overall processing technology of the rotating cutter head method is better than that of the parallel connecting rod method, and the rotating cutter head method is more suitable for large-scale application in industrial production.