# The influence of the cutting proportion of the wheel blank on the deformation of spur gears with different diameters

By changing the thickness of spur gear split wheel blank and carrying out finite element analysis on spur gear blank with different thickness in turn, the optimal thickness of spur gear split wheel blank can be obtained by sorting and analyzing the data. However, in addition to the thickness of spur gear blank, the parameters affecting the deformation of split gear also include gear module, gear diameter and cutting proportion of split wheel blank.

The module of the gear is taken as 40, and the thickness of the spur gear blank is 1.8 times of the tooth height. Changing the diameter of the gear makes the number of teeth in the whole circle of the gear range from 70 to 110. For gears with different diameters, different cutting proportions of the spur gear blank are selected for finite element analysis. Due to the limited space, this section only shows the displacement nephogram of the split gear with 80 teeth in Fig. 1, which accounts for 3 / 20, 1 / 10 and 1 / 20 of the spur gear blank respectively, Then record the maximum negative displacement in Z direction caused by the bending deformation of the split gear after the simulation processing, and the unit of deformation is mm.

It can be seen from the data that when the modulus of the gear is certain, the smaller the cutting proportion of the straight gear blank with different diameters, the smaller the deformation of the split gear. At the same time, by carefully observing the data in several tables, it can be found that when changing the diameter of the gear and the cutting proportion of the spur gear to split the wheel blank, as long as the number of teeth contained in the split gear is the same, their deformation is basically the same.

Draw the relationship between the deformation of the split gear and the number of teeth it contains into a broken line diagram, as shown in Figure 2. It can be seen from the figure that when the number of teeth of the split gear is less than 8, the deformation of the split gear increases slowly with the increase of the number of teeth; After increasing the number of teeth contained in the split gear, the deformation of the gear increases faster and faster.

Although the smaller the proportion of the truncated spur gear split blank is, the smaller the deformation of the split gear is, considering that each split gear needs to be assembled into an extra large spur gear in actual production, the smaller the proportion of the split blank is, the more the number of spur gear split blank is required for assembly, and the assembly accuracy is more difficult to ensure. Therefore, the proportion of spur gear split blank should not be too small, and the number of teeth contained in the split gear should be between 5 and 8.

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