Influence of tooth surface modification on load transmission error of high speed helical gear

In the gear transmission system, the ideal gear will drive according to the constant transmission ratio. However, in practical engineering, the actual transmission ratio is not constant due to the tooth surface error caused by gear manufacturing and the elastic deformation of tooth surface after loading, and the actual transmission ratio will fluctuate up and down in the theoretical transmission ratio. Therefore, when the driving wheel rotates at a certain angle, there will be a certain error between the actual angle and the theoretical angle of the driven wheel. This error is called transmission error (TE) when the gear is not loaded, and it is called loaded transmission error (LTE) when the gear is loaded. Bearing transmission error is an important factor that affects the stability of gear transmission, and is also the root cause of vibration and noise of gear transmission. The mathematical expression can be expressed as formula

The form of linear displacement error is as follows:

After simulation and analysis with romax software, the load transmission error of input and output tooth pairs is obtained after tooth surface modification. And compared with the load transmission error curve before modification, as shown in Fig. 1 and Fig. 2.

It can be seen from Fig. 1 that the fluctuation amplitude of load transfer error decreases by 49% from 1.47 μ m to 0.75 μ M.

It can be seen from Fig. 2 that the fluctuation amplitude of load transfer error after tooth pair modification at the output end decreases by 27.4% from 0.95 μ m to 0.69 μ M.