# Influence of cutting ratio of wheel blank on deformation of spur gear with different modulus

Ensure that the diameter of the spur gear is 3600mm, change the modulus of the spur gear to make it range from 36 to 50, and then select different cutting proportion of the wheel blank for the spur gear with different modulus for finite element analysis. Due to the limited space, this section only shows the displacement nephogram of the split spur gear with modulus 36 in Fig. 1, whose proportion in the wheel blank is 3 / 20, 1 / 10 and 1 / 25 respectively, Then record the maximum negative displacement in Z direction caused by the bending deformation of the split spur gear after the simulation processing, and the unit of deformation is mm.

When the diameter of the spur gear is constant, the broken line diagram of the deformation of the split spur gear of each module with different number of teeth is shown in Figure 2. From the figure, it can be seen that the more the number of teeth of the split spur gear of different modules, the larger the proportion of the truncated split gear blank and the larger the deformation of the split spur gear. When the number of teeth of the split spur gear exceeds 8, the deformation begins to increase rapidly. In addition, it can be found from the figure that when the diameter and the number of teeth of the split spur gear are certain, the larger the modulus of the split spur gear, the greater the deformation.

The relationship between deformation and modulus of split spur gears with different interception ratios is drawn into images, as shown in Figure 3. In the figure, the four line segments respectively represent the relationship between the corresponding deformation of four kinds of wheel blank interception proportion and the modulus of spur gear. It can be seen that the larger the interception proportion of split wheel blank, the larger the deformation of corresponding split spur gear; When the cutting proportion of the split wheel blank is the same, the larger the modulus of the spur gear, the smaller the number of teeth contained in the split spur gear, and the smaller the deformation of the corresponding split spur gear.

Based on the above analysis, when the diameter of spur gear is certain and the modulus is different, the deformation of split spur gear also increases with the increase of the number of teeth. In order to avoid excessive deformation of the split spur gear and ensure the assembly accuracy of the spur gear, the number of teeth contained in the split spur gear is preferably between 5 and 8.

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